Analyze the function f(x)=(x+1)(x−4)(x+5): (a) End behavior like y=x3.
(b) x-intercepts: −1,4,−5; y-intercept: -20.
(c) Zeros: −1,4,−5; find multiplicities and behavior at intercepts.
Analyze the polynomial f(x)=(x+4)(x−5)(x+6): (a) Find the end behavior. (b) Determine the x- and y-intercepts. (c) Identify the zeros −4,5,−6 and their multiplicities.
A computer store buys a computer system at a cost of $468.60. The selling price was first at $781, but then the store advertised a 30\% markdown on the system. Answer parts a and b.
a. Find the current sale price. The sale price is $546.70.
(Round to the nearest cent as needed.)
b. Members of the store's loyalty club get an additional 10% off their computer purchases. How much do club members pay for the computer with their discount? The price for club members is $□□□.
(Round to the nearest cent as needed.)
Find all the zeros. Write the answer in exact form.
q(x)=x4−x2−90 If there is more than one answer, separate them with commas.
Select "None" if applicable.
The zeros of q(x) : □ .
A phone company offers two monthly charge plans. In Plan A , the customer pays a monthly fee of $5.60 and then an additional 6 cents per minute of use. In
Espariol Plan B , there is no monthly fee, but the customer pays 7 cents per minute of use. For what amounts of monthly phone use will Plan A cost more than Plan B?
Use m for the number of minutes of phone use in a month, and solve your inequality for m.
□
Solve the equation. Write the solution set with the exact values given in terms of common or natural logarithms. Also give approximate solutions to 4 decimal places.
75r−4=37r
There is no solution, }.
The exact solution set is □ \}. n口
□log
[I
∘loga0r≈1.5915
2. Three dutes in a row have a sum of 12 . What are the dates?
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline SIN & MON & TUE & WED & THU & FRI & SAI \\
\hline & & 1 & 2 & 3 & 4 & 5 \\
\hline 6 & 7 & 8 & 9 & 10 & 11 & 12 \\
\hline 13 & 14 & 15 & 16 & 17 & 18 & 19 \\
\hline 20 & 21 & 22 & 23 & 24 & 25 & 26 \\
\hline 27 & 28 & 29 & 30 & & & \\
\hline
\end{tabular} 3. What is the sum of dates on the first 3 Sundays? 4. Thanksgiving falls on the 4 th Thursday of November. What is its date?
25. What is the main role of producers in an ecosystem? *
1 point
A) To consume other organisms for energy
B) To break down organic material
C) To produce energy-rich compounds through photosynthesis
D) To maintain nutrient cycling
24. Connect To make one batch of granola, Linda mixes 1 pound of oat flakes, 6 ounces of walnuts, 5 ounces of raisins, and 4 ounces of sunflower seeds. How many total pounds of granola does one batch make?
Consult the figure. To find the length of the span of a oroposed ski lift from A to B, a surveyor measures the angle DAB to be 25∘ and then walks off a distance of L=1000 feet to C and measures the angle ACB to be 15∘. What is the distance from A to B ? The distance from A to B is approtmately □ feet.
(Do not round until the final answer. Then round to two decimal places as needed.)
Points A and B are separated by a lake. To find the distance between them, a surveyor locates a point C on land such than ∠CAB=52.1∘. Find the distance across the lake from A to B. NOTE: The triangle is NOT drawn to scale.
distance ≈□ ft Enter your answer as a number; your answer should be accurate to 2 decimal places.
View Cours
*Lab1- Intr
*Lab 2-Va
Control St
Online C
Lab 3 - Ope
Lab 4 - Con
han\%20Zaza/Downloads/Lab\%202-\%20Variables.pdf
T
aあ
Ask Copilot
4
of 4
२
CB
GJ
الجامعة الألمانية الأردنية
German Jordanian Ưiversity
V. Tasks 1. Write a program that accepts two integers from the user and calculate the product of the two integers 2. Write a C program to do the following:
- Declare a variable called temperature in Fahrenheit (F).
- Read the value of the temperature in Fahrenheit ( F ) ifrom the keyboard.
- Compute the temperature in Celsius based on the following formula:
C=(F−32)×5/9
Search
Answer the questions below based on the two quadratic functions. Function 1 Function 2
f(x)=2x2+8x+15
(a) What is the vertex of Function 1?
(ï),
□
(b) What is the vertex of Function 2? □□
Mixed number
(c) Which function has the smaller minimum value?
Function 1
Function 2 What is the smaller minimum value? □
I Don't Know
Submit
Brian deposited $2000 into an account with a 5.6% annual interest rate, compounded semiannually. Assuming that no withdrawals are made, how long will it take for the investment to grow to $3026 ? Do not round any intermediate computations, and round your answer to the nearest hundredth.
Eighth grade
2.5 Graph a line using slope
You have prizes to reveall go to yourgame board
Learn with an example
Watch a video (D)
Questions
answered Graph the line that has a slope of 101 and includes the point (0,1).
34 Click to select points on the graph.
\begin{tabular}{|c|c|}
\hline & Time tapsed \\
\hline 00 & 2529 \\
\hline \begin{tabular}{l}
3 m \\
out
\end{tabular} & Martscore of 100 O \\
\hline
\end{tabular}
(0)
Sulmiz
For the quadratic function h(x)=−3x2+18x−8 :
a) Write the equation in vertex form by completing square
(2 marks)
b) Write the coordinates of the vertex.
(1 mark)
c) Determine the domain of h(x).
(1 mark)
f) Determine the range of h(x).
(1 mark)
g) Graph the function.
(3 marks)
\begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|}
\hline & & & 4 \\
\hline
\end{tabular}
Use logarithmic notation to represent the solution to each of the following equations. If there is no solution, enter "DNE". Professor Lapan's Helpful Hint: For this question, do not evaluate solutions numerically. Instead, choose logarithms that undo the given exponential function. For example, f(x)=9x has inverse function g(x)=log9(x), so to solve an equation like 9x=10, use log9(x) in this question. This question emphasizes that bx and logb(x) are inverses.
a. 7x=59x=□
b. 7x=24011x=\begin{tabular}{lll}
-4 & X \\
\hline
\end{tabular}
c. 4x=−75x= DNE
3. A decathlete at the Olympics throws a javelin such that its height, h, above the ground can be modeled as a quadratic function of the horizontal distance, d, that it has traveled. Which of the following is a realistic quadratic function for this scenario?
(1) h=1001d2+75d+3
(3) h=−1001d2+75d+3
(2) h=1001d2+75d−3
(4) h=−1001d2+75d−3 4. A ball thrown vertically in the air reaches its peak height after 3.5 seconds. If its height, as a function of time, is given by h=−16t2+bt+4, then which of the following is the value of b?
(1) 56
(3) -112
(2) -56
(4) 112
Is the function below a polynomial? If it is, enter its degree in the blank. If not, enter NONE.
f(x)=3x5−7x3+7ex has degree □ help (numbers)
g(x)=3x5−7x3+(7e)x has degree □ help (numbers)
3. Sylvie drew a special triangle in quadrant 3 and determined that tan(180∘+θ)=1.
a) What is the value of angle θ ?
b) What would be the exact value of tanθ,cosθ, and sinθ ?