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Problem 2401

Question 4 of 10 This quiz: 100 This question
Find the following values using a graphing calculator and the TABLE feature set in ASK mode. $g(x)=0.05 x^{3}-5.5 x^{2}-0.3 x$ $g(-3.8)=$ $\square$ (Simplify your answer. Round to the nearest tenth.) $g(5.3)=$ $\square$ (Simplify your answer. Round to the nearest tenth.) $g(11.5)=$ $\square$ (Simplify your answer. Round to the nearest tenth.)

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Problem 2402

This question: 10 point(s) possible Submit quiz Graph the function. $f(x)=\frac{1}{2} x+8$
Use the graphing tool on the right to graph the function. $\square$

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Problem 2403

$|3-x|$ when $\mathrm{x}=4$

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Problem 2404

tu point(S) possible Submit quiz Suppose the sales of a particular brand of appliance satisfy the relationship $S=160 x+4,800$ , where $S$ represents the number of sales in year $x$ , with $x=0$ corresponding to 1982. Find the number of sales in 1994. A. 6,560 B. 13,280 C. 13,440 D. 6,720

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Problem 2405

Given the function $f(x)=5 x+5$ , evaluate and simplify the expressions below. See special instructions on how to enter your answers. $f(a)=$ $\square$ $f(a+h)=$ $\square$ $\frac{f(a+h)-f(a)}{h}=$ $\square$
Instructions: Simplify answers as much as possible. Expressions such as $4(x+2)$ and $(x+5)^{2}$ should be expanded. Also collect like terms, so $3 x+x$ should be written as $4 x$ .

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Problem 2406

3. A table and 8 chairs weigh 235.68 lb together. If the table weighs 157.84 lb , what is the weight of one chair in pounds?

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Problem 2407

Hiro painted his room. After 3 hours of painting at a rate of 8 square meters per hour, he had 28 square meters left to paint.
Let $y$ represent the area (in square meters) left to paint after $x$ hours.
Complete the equation for the relationship between the area and number of hours. $y=$ $\square$
Show Calculator $\square$
Related content
Constructing linear equations from context

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Problem 2408

A charity organization had to sell a few tickets to their fundraiser just to cover necessary production costs. After selling 10 tickets, they were still at a net loss of $\$ 800$ (due to the production costs). They sold each ticket for $\$ 70$ .
Let $y$ represent the net profit (in dollars) when they have sold $x$ tickets. Complete the equation for the relationship between the net profit and number of tickets sold. $y=\square$

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Problem 2409

Linear equations word probiems
Mr. Mole left his burrow and started digging his way down. $A$ represents Mr. Mole's altitude relative to the ground (in meters) after $t$ minutes. $A=-2.3 t-7$
How fast did Mr. Mole descend? $\qquad$ meters per minute
Related content
Linear equation word problems Report a proble

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Problem 2410

Shryia read a book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 402 out of the total 480 pages left to read.
Let $y$ represent the number of pages left to read after $x$ hours.
Complete the equation for the relationship between the number of pages left and number of hours. $y=$ $\square$
Show Calculator Related content

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Problem 2411

(20) Shane used 25 gallons of gas traveling 350 miles. How much gas will he use in 462 miles?

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Problem 2412

ASK YOUR TEACHER PRACTICE ANOTHEF Aaron wants to mulch his garden. His garden is $\left(x^{2}+12 x+36\right) \mathrm{ft}^{2}$ . One bag of mulch covers $\left(x^{2}-36\right) \mathrm{ft}^{2}$ . Divide the expressions and simplify to find how many bags of mulch Aaron needs to mulch his garden. $\square$

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Problem 2413

Use the graph of the function $f$ to determine the following limits, if they exist. (If an answer does not exist, enter DNE.) (i) $\lim _{x \rightarrow \infty} f(x)=$ $\qquad$ $\lim _{x \rightarrow-\infty} f(x)=$ $\square$

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Problem 2414

Suraj took a slice of pizza from the freezer and put it in the oven. The oven heated the pizza at a rate of $7.5^{\circ}$ Celsius per minute, and it reached the desired temperature of $80^{\circ}$ Celsius after 12 minutes.
Graph the relationship between the pizza's temperature (in degrees Celsius) and time (in minutes).

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Problem 2415

Find the cubic polynomial $f(x)$ such that $f(-1)=-2, f^{\prime}(-1)=-3, f^{\prime \prime}(-1)=12$ , and $f^{\prime \prime \prime}(-1)=-12$ . $f(x)=$ $\square$

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Problem 2416

Factor the polynomial. $121 p^{2}-144$

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Problem 2417

\begin{tabular}{|c|c|c|c|c|c|} \hline teen & 0 & 2 & 4 & 5 & 7 \\ \hline & & & & & \\ \hline (in) & 150 & 190 & 230 & 250 & 290 \\ \hline \end{tabular}

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Problem 2418

\begin{align} 2y + 2 &= 5 \\ \end{align}

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Problem 2419

$g(u)=1 / u-\frac{u^{2}}{u-2}$

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Problem 2420

4. $0=x^{4}-2 x^{2}+1$

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Problem 2421

10. a) $f(x)$ is a quadratic function. The graph of $f(x)$ decreases on the interval $(-\infty,-2)$ and increases on the interval $(2, \infty)$ . It has a $y$ -intercept at $(0,4)$ . What is a possible equation for $f(x)$ ? b) Is there only one quadratic function, $f(x)$ , that has the characteristics given in part a)? c) If $f(x)$ is an absolute value function that has the characteristics given in part a), is there only one such function? Explain.

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Problem 2422

PREVIUUS AINSWERS PRACTICE AN he Audubon society at Enormous State University (ESU) is planning its annual fund-raising "Eatathon." The society will charge students 90 per serving of pasta. The only expenses the society $w$ re the cost of the pasta, estimated at $18 \$$ per serving, and the $\$ 360$ cost of renting the facility for the evening. (a) Write down the associated cost function $C(x)$ in dollars. $C(x)=$ $\square$ Check which variable(s) should be in your answer. Write down the revenue function $R(x)$ in dollars. $R(x)=$ $\square$ Check which variable(s) should be in your answer. Write down the profit function $P(x)$ in dollars. $\square$ $P(x)=\square$
Check which variable(s) should be in your answer. (b) How many servings of pasta must the Audubon society sell to break even? $\square$ 500 servings (c) What profit (or loss) results from the sale of 1,500 servings of pasta? $\square$ $\$$

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Problem 2423

Find the solution set. $\frac{m}{3}-3>\frac{4}{3}-\frac{m}{4}$
The solution set is $m>\frac{52}{7}$ . (Simplify your answer. Use integers or fractions for any numbers in the expression. Type your answer in interval notation.)

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Problem 2424

Assessment Read and analyze the following problems. Shows your complete solutions.
1. In a display window, a grocer wishes to place boxes of detergent in pyramid form so that the bottom row contains 15 boxes, the next row contains 14 boxes. the next row contains 13 boxes, and so on, with one box on top. How many boxes of detergent are necessary for the pyramid?
2. A city has a population of 100,000 . If the population increases 10 percent every 5 years, what will the population be at the end of 40 years?
3. Mr. Vold is a sadistic teacher who likes writing lots of exam questions. He usually starts the semester with only 10 questions on the first exam, but for each subsequent exam he writes one and a half as many questions as were on the previous exam! Since there's no such thing as half a question and Mr. Vold likes writing questions, round your answers up to the next integer. a. How many questions are on the fifth exam of the semester? b. If Mr. Vold wrote 20 exams in a semester, how many total exam questions would they have all together?
4. The table below shows the numbers of days an offshore oil well has been leaking and the diameters (in miles) of the oil spill. Describe the pattern of the numbers of days. \begin{tabular}{|l|c|c|c|c|c|c|} \hline diameter (mi) & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline days & 0 & 6 & 24 & 54 & 96 & 150 \\ \hline \end{tabular} a. Find the model equation of the problem above. b. How long did the oil take to spill if the diameter is 3.5 mi ? 7.5 mi ? c. If the oil took 245 days to spill, what is its diameter?
5. Given the figures below, answer the following questions. \begin{tabular}{|l|c|c|c|c|c|} \hline figure \# & 1 & 2 & 3 & 7 & 18 \\ \hline \# of squares & 5 & 9 & 13 & $?$ & $?$ \\ \hline \end{tabular}
Find the model equation of the problem above. How many squares will there be in the $7^{\mathrm{th}}$ figure? $18^{\text {th }}$ figure? c. In what order of the figure which there will be 61 squares?

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Problem 2425

$6(x+2)-7 x \geq 8$

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Problem 2426

$\begin{array}{l}0.8 x-2.1 y=10.8 \\ 1.6 x-0.7 y=7.6\end{array}$

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Problem 2427

$\begin{array}{l}2 y+x=6 \\ 5 y-4 x=2\end{array}$

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Problem 2428

Given the function $f(x) = 4(2-x)(2+x)^2 - 3(x-1)$
The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.
Dialogue Transcript:
Hi there! I see you have the function $f(x) = 4(2-x)(2+x)^2 - 3(x-1)$ . How can I assist you with this function? Are you looking to find the derivative, solve for $x$ , find the maximum or minimum, or something else? Let me know so I can help you further! Can you turn into standard form

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Problem 2429

$\frac{y}{y-1}+\frac{1}{y-4}=\frac{y^{2}}{y^{2}-5 y+4}$

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Problem 2430

Find the future value of the annuity using the given information.
1. Monthly Deposits, Monthly Compounding: - Monthly Deposit Amount: \$200 - Annual Interest Rate: 5\% - Number of Years: 10 - Compounding Frequency: Monthly

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Problem 2431

2. Monthly Deposits, Yearly Compounding: Monthly Deposit Amount: \$300 Annual Interest Rate: 4\% Number of Years: 20 Compounding Frequency: Yearly

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Problem 2432

Determine if the statement is true or false. If the statement is true, write a proof. If the statement is false, provide a counterexample. Assume that the variable represents a positive real number. $\log _{5}\left(\frac{1}{r}\right)=\frac{1}{\log _{5} r}$

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Problem 2433

Find the inverse function of $f(x)=4+\sqrt[3]{x}$ $f^{-1}(x)=$ $\square$

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Problem 2434

The function graphed above is:
Increasing on the interval(s) $\square$
Decreasing on the interval(s) $\square$

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Problem 2435

Solve. $\frac{2}{b-2}-\frac{1}{b^{2}-4}=0$

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Problem 2436

$\frac{-4 x^{7}+2 x^{4}-12}{2 x^{2}}=\frac{-2 x^{7}+x^{4}-6}{x^{2}}$ (Simplify your answer. Use positive exponents only.)

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Problem 2437

and 12 , for the given functions $f$ and $g$ , find the following: (c) $(f \cdot g)(x)$ (d) $\left(\frac{f}{g}\right)(x)$ (b) $(f-g)(x)$ (g) $(f \cdot g)(2)$ (h) $\left(\frac{f}{g}\right)(1)$ (f) $(f-g)(4)$
12. $f(x)=\frac{2 x+3}{3 x-2} ; g(x)=\frac{4 x}{3 x-2}$

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Problem 2438

$\begin{array}{l}f(x)=\frac{x+3}{x+10} \\ f^{-1}(-7)=\end{array}$

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Problem 2439

1. A ball (ball $A$ ) is dropped from the top of a 80 m building. At the same time, another ball (ball B) is thrown upwards from the same top of the building. If the time delay between both balls hitting the ground below is 1.2 seconds, with what initial velocity was ball B thrown at?

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Problem 2440

Factor the following expression completely: $z^{3}-9 z^{2}+8 z-72=$ Submit Question

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Problem 2441

7. Aline contains the point $(2,5)$ . As $x$ decreases by 3 units, y decreases by 1 unit. Find an equation for the line.
8. The quantity demanded of a certain brand of DVD player is 3000 per week when the unit price is K485. For each decrease in unit price of K20 below K485, the quantity demanded increases by 250 units. The suppliers will not market any DVD players if the unit price is K300 or lower. But at a unit price of K525, they are willing to make available 2500 units in the market. The supply equation is also known to be linear. a) Find the demand equation. b) Find the supply equation.

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Problem 2442

9. The supply and demand equations of a good are given by: $P=Q s+8 ; \quad P=-3 Q d+80$ a) Find the price and quantity at equilibrium. b) At a price of $P=5$ find the excess Demand. c) At a price of $P=50$ find the Surplus. d)
10. The supply and demand equations of a good are given by: $P=\frac{1}{2} Q s+25 ; \quad P=-2 Q d+50$ a) Find the price and quantity at equilibrium. b) At a price of $P=40$ find the excess Supply.
11. Suppose that the number $Q$ of bushels of apples a farmer is willing to sell is given by $Q=100 p-25$
Where $p$ is the price, in Kwacha, per bushel of apples. The number $Q$ of bushels of apples a grocer is willing to purchase is given by $Q=-150 p+655$
Where $p$ is the price per bushel of apples. Find the equilibrium price.

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Problem 2443

Dianelys was offered a job after college earning a salary of $\$ 60,000$ . She will get a raise of $\$ 2,000$ after each year working for the company. Answer the questions below regarding the relationship between salary and the number of years working at the company.
Answer Attempt 1 out of 2
The independent variable, $x$ , represents the and the dependent variable is the $\qquad$ , because the depends on the $\square$ $\square$ ・.
A function relating these variables is $B(x)=$ $\square$ .
So $B(2)=$ $\square$ , meaning 2 $\square$

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Problem 2444

Given this equation for converting temperature from Celsius ( $c$ ) to Fahrenheit ( $f$ ): $f=(9 / 5) c+32$
What is $f$ when $c$ is 30 ? (A) 77 (B) 104 (C) 86 (D) 95

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Problem 2445

e. $(4 x-5 y)-(6 x+3 y)-(7 x+2 y)$

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Problem 2446

Solve each equation. 26) $|6 x-4|+3=19$ A) No solution. B) $\left\{-2, \frac{1}{3}\right\}$ C) $\left\{\frac{10}{3},-2\right\}$ D) $\left\{\frac{10}{3}\right\}$ 28) $5-2|-6 n+2|=25$ A) $\{-4\}$ B) $\{-4,10\}$ C) $\left\{\frac{19}{5},-3\right\}$ D) No solution. 30) $|b-4|-4=2$ A) $\{10\}$ C) 4 $\}$ B) $\{4,6\}$ D) $\{10,-2\}$
Solve each system.

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Problem 2447

Flag question
اذُا علىت ان كمية الطُب الاقتصادية هي 3000 وحدة وان ثُن شراء الثودة هي 30شيكل، وكاتت كلفة اعداد الطظبية هي 300 شيكل، وكلفة الاحتفاظ الدنوية للوحدة الو احدة هي 20\% بناء عثى هذه المعطيات الثواردة اعلاه ما هو "حجم الطبّب الثُهري؟
Select one: a. 10000 وحدة. 100 b. 20000 وحدة C. 90000 وحدو9.

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Problem 2448

$5$
Show that $(\sec x+\cos x)^{2}$ can be expressed as $\sec ^{2} x+a+b \cos 2 x$ , where $a$ and $b$ are constant to be determined.

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Problem 2449

Experiment 2 - $x=y$ our number - $x=\operatorname{sqrt}(1+x)$ - Up-arrow key \% To recall earlier commands - Repeat $\mathrm{x}=\operatorname{sqrt}(1+\mathrm{x})$ - format long - Repeat the experiment

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Problem 2450

If ' $m$ ' and ' $n$ ' are integers such that $7 x^{2}-m x+7 \geq 0$ and $x^{2}-n x+5>0$ for all real numbers ' $x$ ', then the largest possible value of $(9 m-5 n)$ is $\qquad$ Enter your response (as an integer) using the virtual keyboard in the box provided below. $\square$

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Problem 2451

1. A ball (ball A) is dropped from the top of a 80 m building. Ait the came time, another ball (oall in) is throun upwards from the same top of the building. If the time deley between both balls hiting the ground belowis 1.2 ceoonds, with chat initial velority was ball 8 thrown $\mathbf{a t}$ ?

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Problem 2452

Solve the rational equ 1.) $\frac{4-3 x}{6}=\frac{3 x-4}{4}$

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Problem 2453

Divide and simplify the radical expression $\frac{\sqrt{60 x^{3} y}}{\sqrt{48 x}}$
Select one: a. $\frac{x}{2} \sqrt{5 y}$ b. $\frac{x y}{2} \sqrt{5}$ c. $\frac{x^{2}}{2} \sqrt{5 y}$ d. $\frac{1}{4} \sqrt{5 x^{2} y}$

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Problem 2454

2.) $3=5 x-\frac{2-x}{2}$

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Problem 2455

Write the genotype for each person based on the description: a. Homozygous for the " B " allele $\qquad$ b. Heterozygous for the " $A$ " allele $\qquad$ c. Type 0 $\qquad$ d. Type " $A$ " and had a type " $O$ " parent $\qquad$ e. Type "AB" $\qquad$ f. Blood can be donated to anybody $\qquad$
9. Can only get blood from a type "O" donor $\qquad$

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Problem 2456

Determine whether the set of ordered pairs given below represents a one-to-one function, where the $x$ -coordinates are the set of inputs and the $y$ -coordinates are the set of outputs. $\{(-6,0),(9,-7),(1,0),(12,7),(17,10),(-8,-16),(18,6),(-17,-5)\}$

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Problem 2457

X Determine if the functions f(x) = -2x-4 and g(x) = 2 are inverses of each other. 2

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Problem 2458

a) The augmented matrix $\left[\begin{array}{llll}1 & 2 & 6 & 9 \\ 0 & 1 & 0 & 3 \\ 0 & 0 & 1 & 2\end{array}\right]$ is in REF True Fatse b) How many leading variables are there?

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Problem 2459

$\frac{x}{x+1}+\frac{5}{x}=\frac{1}{x^{2}+x}$

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Problem 2460

The ski club is planning a trip, and the bus company will charge them using bibe formula $c=30+50 \mathrm{n}$ , where $c$ is the cost for $n$ peopile. Find the costif if peope are going.

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Problem 2461

56. What is the pattern rule?
Write an expression to represent the pattern. \begin{tabular}{|c|c|} \hline Input & Output \\ \hline 1 & 2 \\ \hline 2 & 5 \\ \hline 3 & 8 \\ \hline 4 & 11 \\ \hline \end{tabular}

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Problem 2462

Aufgaben
1. Der Kammerton ist der gemeinsame Ton (sinusförmige Schallschwingung), auf den eine Gruppe von Instrumenten eingestimmt wird. Als Standard-Kammerton wurde der Ton mit der Frequenz $\mathrm{f}=440 \mathrm{~Hz}$ (Kammerton $\mathrm{a}^{1}$ ) festgelegt. Welche Wellenlänge gehört zum Kammerton $\mathrm{a}^{1}$ , wenn sich Schall mit der Geschwindigkeit von etwa $340 \mathrm{~m} / \mathrm{s}$ ausbreitet?
2. Schall oberhalb von 20 kHz heißt Ultraschall, Schall unterhalb von 16 Hz heißt Infraschall. Welche Wellenlängen gehören zu Ultra- bzw. Infraschall? ( $\mathrm{c}_{\text {Schall }} \approx 340 \mathrm{~m} / \mathrm{s}$ )
3. Für die Ausbreitungsgeschwindigkeit eines Tsunamis gilt $c=\sqrt{g \cdot h}$ , wobei $g$ die Erdbeschleunigung und $h$ die Wassertiefe angibt. Für die Wellenlänge gilt näherungsweise $\lambda \approx h \cdot 2 \pi$ . a) Welche Ausbreitungsgeschwindigkeit und welche Wellenlänge hat ein Tsunami im Pazifik mit einer mittleren Meerestiefe von ca. 6 km . Wie lange benötigt damit ein Tsunami von Japan nach San Francisco (ca. 8000 km )? b) Wie verändern sich die Ausbreitungsgeschwindigkeit und die Wellenlänge, wenn die Wassertiefe von 6 km auf 500 m sinkt.

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Problem 2463

Prove that $\frac{\tan x}{1-\tan x}+\frac{\cot x}{1-\cot x}=-1$ If $\cos x=-3 / 4$ and $x$ is in second quadrant find $\frac{3 \sin x-2 \cot x}{\tan ^{2} x}$ Find the sum $3+1+1 / 3+1 / 9+\ldots \ldots$
The number of first-year students enrolled at CBU in 2021 was 1290. If $94 \%$ of the students only proceeded and enrolled in the following academic year, find out how many will be enrolled in the $5^{\text {th }}$ year. Solve the radical equation $\sqrt{x-1}+\sqrt{3 x}=0$ Sketch the graph of $y=2+3 \sin (x)$ for one cycle Find the angle subtended at the centre $O$ , if the sector area is $500 \mathrm{~cm}^{2}$ and radius is 10 cm . Solve the logarithmic equation $\ln x-\ln (x-1)=\ln \left(2 x^{2}\right)$ Solve the equation $3^{x+1}=2^{x-1}$ If $e^{3 x+2}=5$ , find $x$

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Problem 2464

3. Ejah works in a diamond mine. When he works the late shift, $\$ 2 / \mathrm{h}$ is added to his regular hourly wage. Last week, he worked the late shift for a total o 40 h and made \$960. Write and solve and equation to determine Elijah's reguicer hourly wage.

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Problem 2465

Find the horizontal and vertical asymptotes of the curve. You may want to use a graphing calculator (or computer) to check your work by graphing the curve and estimating the asymptotes. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) $\begin{array}{l} y=\frac{3 x^{2}+x-1}{x^{2}+x-2} \\ x=\square \\ y=\square \end{array}$ Need Help? Read It

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Problem 2466

2. Write the answer in the form $\frac{P(x)}{D(x)}=Q(x)+\frac{R(x)}{D(x)}$ for $\frac{x^{3}-64}{x-4}$ and hence find $Q(x)$ and $R(x)$ .

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Problem 2467

нуурын ёроолд учруулах даралт 2060000 па бол нуурын гүнйиг ол

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Problem 2468

Entscheiden Sie durch Ankreuzen des zugehörigen Kästchens, welche Aussagen richtig und welche falsch sind. Begründen Sie Ihre Entscheidung bei allen Aussagen in Stichworten. \begin{tabular}{|c|c|c|c|c|c|} \hline & \multicolumn{2}{|l|}{ Die Gerade(n) der Funktionsgraphen zu... } & Richtig & Falsch & Begründung \\ \hline a) & $f(x)=\frac{1}{2} x-2$ & $a$ und $b$ sind parallel & $\square$ & $\square$ & \\ \hline b) & $f(x)=-0,5 x-1$ & c verläuft durch den & & & \\ \hline c) & $f(x)=0,3 x+5$ & Ursprung & $\square$ & $\square$ & \\ \hline d) & \begin{tabular}{l} $f(x)=\frac{1}{3} x$ \end{tabular} & \begin{tabular}{l} $c$ und $g$ haben dieselbe \\ Steigung \end{tabular} & $\square$ & $\square$ & \\ \hline e) & \begin{tabular}{l} $f(x)=\frac{1}{2} x+3$ \end{tabular} & \begin{tabular}{l} d verläuft steiler als \\ die Gerade e \end{tabular} & $\square$ & $\square$ & \\ \hline f) & $f(x)=5 x+1$ & fund $g$ schneiden sich & & & \\ \hline g) & \begin{tabular}{l} $f(x)=\frac{1}{3} x+1$ \end{tabular} & auf der $y$ -Achse & $\square$ & $\square$ & \\ \hline \end{tabular}

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Problem 2469

Factor completely: $11 x^{2}-24 x-x^{3}$

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Problem 2470

$-5=6 d-7 d+4$

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Problem 2471

10. $11-\frac{1}{2} y=3+6 x$

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Problem 2472

Question Watch Video Show Examples
Under her cell phone plan, Arianna pays a flat cost of $\$ 54.50$ per month and $\$ 5$ per gigabyte. She wants to keep her bill under $\$ 75$ per month. Write and solve an inequality which can be used to determine $g$ , the number of gigabytes Arianna can use while staying within her budget.

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Problem 2473

Use the image to answer the question.
What is the solution set to the inequalities on the graph? (1 point) $x<$ $\square$ or $x>$ $\square$ Check answer Remaining Attempts : 2 View previous attempt

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Problem 2474

$\frac{m}{4} \rightarrow=-3$

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Problem 2475

Question 3 $\mathrm{Le}_{3}$ [25 marks] Anna's utility function over wine and garbage disposal is $\mathrm{UA}_{\mathrm{A}}=\mathrm{W}_{0.5} \mathrm{G} 0.5$ , and Brewster's utility function is $\mathrm{U}_{\mathrm{B}}=\mathrm{W}_{0.67} \mathrm{G} 0.33$ . Anna has 2 bottles of wine and 5 units of garbage disposal services. Brewster has 3 bottles of wine and 3 units of garbage disposal services. (a) In an economy with no exchange, what are the utility levels of Anna and Brewster?

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Problem 2476

form the operation. $\left(-10 x^{2}+2 x-10\right)-\left(-10 x^{2}+3\right)$
Answer Attempt 1 out of 2

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Problem 2477

7-8. What is the equivalent of $4^{\wedge} 3=64$ ?(in logarithmic form) 9-10. What is the equivalent of $7^{\wedge} 4=2401$ ?(in logarithmic form).

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Problem 2478

uestion 15 (1 point) Determine whether the given function is exponential or not. If it is exponential, identify the value of the base a. \begin{tabular}{ll} \hline $x$ & $H(x)$ \\ \hline-1 & $\frac{8}{7}$ \\ 0 & 1 \\ 1 & $\frac{7}{8}$ \\ 2 & $\frac{49}{64}$ \\ 3 & $\frac{343}{512}$ \\ \hline \end{tabular}

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Problem 2479

Question 7 of 15, Step 1 of 1 6/15 Correct 3
Solve the following linear equation using equivalent equations to isolate the variable. Express your answer as an integer, as a simplified fraction, or as a decimal number rounded to two places. $-12-2=4 u-6 u$ Answer Keypad

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Problem 2480

Use the graph to derive the equation $y=m x$ for a line through the origin. Simplify the numerical coefficient, if needed. (1 point) $y=3 x$ $y=x$ $y=\frac{3}{3} x$ $y=8 x$

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Problem 2481

Save \& Exit Certify Lesson: 2.3b Solving Linear Equations Usin... HAYLEE MARTINSON 7/15 Question 8 of 15, Step 1 of 1 Correct 3
Solve the following linear equation using equivalent equations to isolate the variable. Express your answer as an integer, as a simplified fraction, or as a decimal number rounded to two places. $-5 y=\frac{-2}{7}$ Keypad Answer How to enter your answer (opens in new window) Keyboard Shortcuts

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Problem 2482

$f^{-1}(x)=\sqrt{\frac{x-1}{2}}$ is the inverse of $f(x)=2 x^{2}-1$ . a) True b) False

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Problem 2483

What is the equation of the line, in standard form, that is parallel to the given line and passes through the point $(4,2)$ ? $3 x-y=2$ $3 x-y=10$ $3 x-y=-1$ $\frac{1}{3} x-y=\frac{2}{3}$

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Problem 2484

Skill 2: Solving linear equations involving brackets Solve the following equations Show correct working out a. $3(x+1)=18$

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Problem 2485

A table of values is shown. \begin{tabular}{|c|c|c|c|c|} \hline $x$ & -8 & -4 & 2 & 5 \\ \hline $y$ & 8 & $\frac{11}{2}$ & $\frac{7}{4}$ & $-\frac{1}{8}$ \\ \hline \end{tabular}
Which equation models the relationship in the table? $y-8=-\frac{5}{8}(x+8)$ $y+8=-\frac{8}{5}(x-8)$ $y-8=-\frac{8}{5}(x+8)$ $y+8=-\frac{5}{8}(x-8)$

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Problem 2486

$x+5=12 \quad 2 x=-48$

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Problem 2487

Solve $6 t^{2}-14 t-12=0$ by factoring. Enter your answers below $t=$ $\square$ or $\square$ Check Answer

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Problem 2488

Orly uses 3 cups of raisins for every 10 cups of trail mix she makes. How many cups of trail mix will she make if she uses 12 cups of raisins? 10 cups $2 \frac{1}{2}$ cups 40 cups $3 \frac{3}{5}$ cups

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Problem 2489

Save \& Exit certily Lesson: b., the Cartestan coorimate syst... $0 / 16$ Question 1 of 4,5 Step 1 of 2 Correct
Conblef the following equmition: $3 x-4 y=7$ stap 1 of 2: the given ordered pair, $(-1,-3)$ , satisfies the given equation. Answer YES NO

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Problem 2490

Simplify $i^{44}$ 1 $i$ $-i$ $-1$

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Problem 2491

Which sign makes the batement true? $-\sqrt{27} ?-4 . \overline{4}$

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Problem 2492

Solving Radical Equations Solve each of the following equations algebraically. Check your answer graphically. Write you answer as an equation using Integer Values or Reduced Fractions.

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Problem 2493

$5 s+16=s+20$

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Problem 2494

1) Modélise le graphique ci-dessous à l'aide de l'équation de la courbe la mieux ajustée. $y=x^{3}-3 x^{2}+2 x+4$ b) Utilise l'équation ci-dessus (non-arrondie) et trouve (extrapole) la valeur de $y$ lorsque Arrondis ta réponse au centième près. $\qquad$ (c) Utilise l'équation ci-dessus (non-arrondie) et trouve (interpole) la valeur de $x$ lorsque $y=9,26$ .
Arrondis ta réponse au centième près. $a \dot{a} 0=-3,0,2$ $\qquad$ $090=0,$ $\qquad$ $-3,0,1$ e) Indique les zéros de cette fonctions (ou les abscisses à l'origine du graphique correspondant): f) Indique le degré de cette fonction: $\qquad$ g) À l'aide du graphique, que peut-on conclure par rapport au coefficient dominant? Explique. $c d=+ \text { Ipositif }$

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Problem 2495

Übungsaufgaben
1. Berechnen Sie algebraisch die Nullstellen und kontrollieren Sie Ihre Ergebnisse mit dem Taschenrechner. a) $f(x)=-\frac{1}{2} x^{2}+4 x-5$ b) $f(x)=3 x^{2}+12 x+18$ c) $f(x)=2 x^{2}-4 x$ d) $f(x)=3 x^{2}-12 x+6$ e) $f(x)=\frac{1}{2} x^{2}+3 x+2,5$ f) $f(x)=-x^{2}+8 x-17$ g) $f(x)=\frac{1}{3} x^{2}-2 x+4$ h) $f(x)=-0,5 x^{2}+2 x$

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Problem 2496

Übungsaufgaben 3 Wie lautet die Polynomdarstellung der Parabel, die a) die Abszissenachse in den Punkten $S_{x_{1}}(-1 / 0)$ und $S_{x_{2}}(2 / 0)$ schneidet, nach unten geöffnet und mit dem Faktor 3 in $f(x)$ -Richtung gedehnt ist?

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Problem 2497

$F$ and $H$ are sets of real numbers defined as follows $\begin{array}{l} F=\{z \mid z>3\} \\ H=\{z \mid z \leq 8\} \end{array}$
Write $F \cap H$ and $F \cup H$ using interval notation.

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Problem 2498

Gin Sec 4.1 FW
Using the graph above, answer the questions below:
The parabola opens down
The vertex of the quadratic function is [Choose]
The vertex is a $\qquad$ point. maximum
The axis of symmetry is [Choose ]

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Problem 2499

corresponding transformations. b) Sketch a graph of $y=\frac{1}{4}[-2(x-1)]^{4}+2$ .

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Problem 2500

Graph the solution set, and write the solution set in interval notation. $7 \leq 5 b-1<39$

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Algebra

Problem 2401

Problem 2402

This question: 10 point(s) possible Submit quiz Graph the function. f(x)=12x+8f(x)=\frac{1}{2} x+8f(x)=21​x+8Use the graphing tool on the right to graph the function. □\square□

Problem 2403

∣3−x∣|3-x|∣3−x∣ when x=4\mathrm{x}=4x=4

Problem 2404

Problem 2405

Problem 2406

3. A table and 8 chairs weigh 235.68 lb together. If the table weighs 157.84 lb , what is the weight of one chair in pounds?

Problem 2407

Problem 2408

Problem 2409

Problem 2410

Problem 2411

(20) Shane used 25 gallons of gas traveling 350 miles. How much gas will he use in 462 miles?

Problem 2412

Problem 2413

Use the graph of the function fff to determine the following limits, if they exist. (If an answer does not exist, enter DNE.) (i) lim⁡x→∞f(x)=\lim _{x \rightarrow \infty} f(x)=x→∞lim​f(x)= \qquad lim⁡x→−∞f(x)=\lim _{x \rightarrow-\infty} f(x)=x→−∞lim​f(x)= □\square□

Problem 2414

Problem 2415

Problem 2416

Factor the polynomial. 121p2−144121 p^{2}-144121p2−144

Problem 2417

\begin{tabular}{|c|c|c|c|c|c|} \hline teen & 0 & 2 & 4 & 5 & 7 \\ \hline & & & & & \\ \hline (in) & 150 & 190 & 230 & 250 & 290 \\ \hline \end{tabular}

Problem 2418

\begin{align*} 2y + 2 &= 5 \\ \end{align*}

Problem 2419

g(u)=1/u−u2u−2g(u)=1 / u-\frac{u^{2}}{u-2}g(u)=1/u−u−2u2​

Problem 2420

4. 0=x4−2x2+10=x^{4}-2 x^{2}+10=x4−2x2+1

Problem 2421

Problem 2422

Problem 2423

Find the solution set. m3−3>43−m4\frac{m}{3}-3>\frac{4}{3}-\frac{m}{4}3m​−3>34​−4m​The solution set is m>527m>\frac{52}{7}m>752​. (Simplify your answer. Use integers or fractions for any numbers in the expression. Type your answer in interval notation.)

Problem 2424

Problem 2425

6(x+2)−7x≥86(x+2)-7 x \geq 86(x+2)−7x≥8

Problem 2426

0.8x−2.1y=10.81.6x−0.7y=7.6\begin{array}{l}0.8 x-2.1 y=10.8 \\ 1.6 x-0.7 y=7.6\end{array}0.8x−2.1y=10.81.6x−0.7y=7.6​

Problem 2427

2y+x=65y−4x=2\begin{array}{l}2 y+x=6 \\ 5 y-4 x=2\end{array}2y+x=65y−4x=2​

Problem 2428

Problem 2429

yy−1+1y−4=y2y2−5y+4\frac{y}{y-1}+\frac{1}{y-4}=\frac{y^{2}}{y^{2}-5 y+4}y−1y​+y−41​=y2−5y+4y2​

Problem 2430

Find the future value of the annuity using the given information.1. Monthly Deposits, Monthly Compounding: - Monthly Deposit Amount: \$200 - Annual Interest Rate: 5\% - Number of Years: 10 - Compounding Frequency: Monthly

Problem 2431

2. Monthly Deposits, Yearly Compounding: Monthly Deposit Amount: \$300 Annual Interest Rate: 4\% Number of Years: 20 Compounding Frequency: Yearly

Problem 2432

Problem 2433

Find the inverse function of f(x)=4+x3f(x)=4+\sqrt[3]{x}f(x)=4+3x​ f−1(x)=f^{-1}(x)=f−1(x)= □\square□

Problem 2434

The function graphed above is:Increasing on the interval(s) □\square□Decreasing on the interval(s) □\square□

Problem 2435

Solve. 2b−2−1b2−4=0\frac{2}{b-2}-\frac{1}{b^{2}-4}=0b−22​−b2−41​=0

Problem 2436

−4x7+2x4−122x2=−2x7+x4−6x2\frac{-4 x^{7}+2 x^{4}-12}{2 x^{2}}=\frac{-2 x^{7}+x^{4}-6}{x^{2}}2x2−4x7+2x4−12​=x2−2x7+x4−6​ (Simplify your answer. Use positive exponents only.)

Problem 2437

Problem 2438

f(x)=x+3x+10f−1(−7)=\begin{array}{l}f(x)=\frac{x+3}{x+10} \\ f^{-1}(-7)=\end{array}f(x)=x+10x+3​f−1(−7)=​

Problem 2439

1. A ball (ball AAA ) is dropped from the top of a 80 m building. At the same time, another ball (ball B) is thrown upwards from the same top of the building. If the time delay between both balls hitting the ground below is 1.2 seconds, with what initial velocity was ball B thrown at?

Problem 2440

Factor the following expression completely: z3−9z2+8z−72=z^{3}-9 z^{2}+8 z-72=z3−9z2+8z−72= Submit Question

Problem 2441

Problem 2442

Problem 2443

Problem 2444

Given this equation for converting temperature from Celsius ( ccc ) to Fahrenheit ( fff ): f=(9/5)c+32f=(9 / 5) c+32f=(9/5)c+32What is fff when ccc is 30 ? (A) 77 (B) 104 (C) 86 (D) 95

Problem 2445

e. (4x−5y)−(6x+3y)−(7x+2y)(4 x-5 y)-(6 x+3 y)-(7 x+2 y)(4x−5y)−(6x+3y)−(7x+2y)

Problem 2446

Problem 2447

Problem 2448

555Show that (sec⁡x+cos⁡x)2(\sec x+\cos x)^{2}(secx+cosx)2 can be expressed as sec⁡2x+a+bcos⁡2x\sec ^{2} x+a+b \cos 2 xsec2x+a+bcos2x, where aaa and bbb are constant to be determined.

Problem 2449

Experiment 2 - x=yx=yx=y our number - x=sqrt⁡(1+x)x=\operatorname{sqrt}(1+x)x=sqrt(1+x) - Up-arrow key \% To recall earlier commands - Repeat x=sqrt⁡(1+x)\mathrm{x}=\operatorname{sqrt}(1+\mathrm{x})x=sqrt(1+x) - format long - Repeat the experiment

Problem 2450

Problem 2451

This question: 10 point(s) possible Submit quiz Graph the function. $f(x)=\frac{1}{2} x+8$
Use the graphing tool on the right to graph the function. $\square$

$|3-x|$ when $\mathrm{x}=4$

Use the graph of the function $f$ to determine the following limits, if they exist. (If an answer does not exist, enter DNE.) (i) $\lim _{x \rightarrow \infty} f(x)=$ $\qquad$ $\lim _{x \rightarrow-\infty} f(x)=$ $\square$

Factor the polynomial. $121 p^{2}-144$

\begin{align} 2y + 2 &= 5 \\ \end{align}

$g(u)=1 / u-\frac{u^{2}}{u-2}$

4. $0=x^{4}-2 x^{2}+1$

Find the solution set. $\frac{m}{3}-3>\frac{4}{3}-\frac{m}{4}$
The solution set is $m>\frac{52}{7}$ . (Simplify your answer. Use integers or fractions for any numbers in the expression. Type your answer in interval notation.)

$6(x+2)-7 x \geq 8$

$\begin{array}{l}0.8 x-2.1 y=10.8 \\ 1.6 x-0.7 y=7.6\end{array}$

$\begin{array}{l}2 y+x=6 \\ 5 y-4 x=2\end{array}$

$\frac{y}{y-1}+\frac{1}{y-4}=\frac{y^{2}}{y^{2}-5 y+4}$

Find the future value of the annuity using the given information.
1. Monthly Deposits, Monthly Compounding: - Monthly Deposit Amount: \$200 - Annual Interest Rate: 5\% - Number of Years: 10 - Compounding Frequency: Monthly

Find the inverse function of $f(x)=4+\sqrt[3]{x}$ $f^{-1}(x)=$ $\square$

The function graphed above is:
Increasing on the interval(s) $\square$
Decreasing on the interval(s) $\square$

Solve. $\frac{2}{b-2}-\frac{1}{b^{2}-4}=0$

$\frac{-4 x^{7}+2 x^{4}-12}{2 x^{2}}=\frac{-2 x^{7}+x^{4}-6}{x^{2}}$ (Simplify your answer. Use positive exponents only.)

$\begin{array}{l}f(x)=\frac{x+3}{x+10} \\ f^{-1}(-7)=\end{array}$

1. A ball (ball $A$ ) is dropped from the top of a 80 m building. At the same time, another ball (ball B) is thrown upwards from the same top of the building. If the time delay between both balls hitting the ground below is 1.2 seconds, with what initial velocity was ball B thrown at?

Factor the following expression completely: $z^{3}-9 z^{2}+8 z-72=$ Submit Question

Given this equation for converting temperature from Celsius ( $c$ ) to Fahrenheit ( $f$ ): $f=(9 / 5) c+32$
What is $f$ when $c$ is 30 ? (A) 77 (B) 104 (C) 86 (D) 95

e. $(4 x-5 y)-(6 x+3 y)-(7 x+2 y)$

$5$
Show that $(\sec x+\cos x)^{2}$ can be expressed as $\sec ^{2} x+a+b \cos 2 x$ , where $a$ and $b$ are constant to be determined.

Experiment 2 - $x=y$ our number - $x=\operatorname{sqrt}(1+x)$ - Up-arrow key \% To recall earlier commands - Repeat $\mathrm{x}=\operatorname{sqrt}(1+\mathrm{x})$ - format long - Repeat the experiment

1. A ball (ball A) is dropped from the top of a 80 m building. Ait the came time, another ball (oall in) is throun upwards from the same top of the building. If the time deley between both balls hiting the ground belowis 1.2 ceoonds, with chat initial velority was ball 8 thrown $\mathbf{a t}$ ?

Solve the rational equ 1.) $\frac{4-3 x}{6}=\frac{3 x-4}{4}$

Divide and simplify the radical expression $\frac{\sqrt{60 x^{3} y}}{\sqrt{48 x}}$
Select one: a. $\frac{x}{2} \sqrt{5 y}$ b. $\frac{x y}{2} \sqrt{5}$ c. $\frac{x^{2}}{2} \sqrt{5 y}$ d. $\frac{1}{4} \sqrt{5 x^{2} y}$

2.) $3=5 x-\frac{2-x}{2}$

a) The augmented matrix $\left[\begin{array}{llll}1 & 2 & 6 & 9 \\ 0 & 1 & 0 & 3 \\ 0 & 0 & 1 & 2\end{array}\right]$ is in REF True Fatse b) How many leading variables are there?

$\frac{x}{x+1}+\frac{5}{x}=\frac{1}{x^{2}+x}$

The ski club is planning a trip, and the bus company will charge them using bibe formula $c=30+50 \mathrm{n}$ , where $c$ is the cost for $n$ peopile. Find the costif if peope are going.

56. What is the pattern rule?
Write an expression to represent the pattern. \begin{tabular}{|c|c|} \hline Input & Output \\ \hline 1 & 2 \\ \hline 2 & 5 \\ \hline 3 & 8 \\ \hline 4 & 11 \\ \hline \end{tabular}

3. Ejah works in a diamond mine. When he works the late shift, $\$ 2 / \mathrm{h}$ is added to his regular hourly wage. Last week, he worked the late shift for a total o 40 h and made \$960. Write and solve and equation to determine Elijah's reguicer hourly wage.

2. Write the answer in the form $\frac{P(x)}{D(x)}=Q(x)+\frac{R(x)}{D(x)}$ for $\frac{x^{3}-64}{x-4}$ and hence find $Q(x)$ and $R(x)$ .

Factor completely: $11 x^{2}-24 x-x^{3}$

$-5=6 d-7 d+4$

10. $11-\frac{1}{2} y=3+6 x$

Use the image to answer the question.
What is the solution set to the inequalities on the graph? (1 point) $x<$ $\square$ or $x>$ $\square$ Check answer Remaining Attempts : 2 View previous attempt

$\frac{m}{4} \rightarrow=-3$