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Problem 29901

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Question 9 of ${ }^{18}$ The unit vector parallel to the vector $u=(2,4,-4)$ is $(1 / 5,2 / 5,-2 / 5)$ $(1 / 9,2 / 9,-2 / 9)$ $(-1 / 3,-2 / 3,2 / 3)$ $(1 / 18,2 / 18,-2 / 18)$

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Problem 29902

Question 16 of 18 Let $A$ be $2 \times 2$ matrix with $\operatorname{det}(A)=-2$ , then $\operatorname{det}\left(4 A^{-1}\right)=$ 8 - 2 2 $1 / 8$

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Problem 29903

Find the $x$ -values (if any) at which $f$ is not continuous. State whether the discontinuities are removable or nonremovable. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) $f(x)=\frac{x+2}{x^{2}-2 x-8}$ removable discontinuities $x=$ $\square$ nonremovable discontinuities $\quad x=$ $\square$

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Problem 29904

$\begin{array}{l}m+n=9 \\ m-n=2\end{array}$

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Problem 29905

(a) $3^{-2} \times 3^{x}=81$
Find the value of $x$ . $3^{-2} \times 3^{x}=3^{4} \quad 3^{-2} \times 3^{x}$ $(x)=4$ $\frac{4}{2} 2$ (b) $x^{-\frac{1}{3}}=32 x^{-2}$ $\begin{array}{c} 3^{-2}+3^{4}-3 \\ =3 \end{array}$
Find the value of $x$ .

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Problem 29906

1) Determina dominio intersezioni con gli assi e segno della funzione $y=\frac{1}{x^{3}-10 x^{2}+25 x}$ Indica se la funzione è pari, dispari o né pari né dispari. Disegna le parti di piano in cui la funzione esiste

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Problem 29907

4) Individua quali fra i seguenti punti non appartengono al grafico della funzione $f(x)=\frac{1-x^{2}}{x}$ [a] $(1 ; 0)$ (b) $(0 ; 1)$ [C] $\left(-2 ; \frac{3}{2}\right)$ (motiva la risposta) [i] $(-1 ; 0)$ [e) $\left(-3 ;-\frac{10}{3}\right)$

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Problem 29908

4) Individua quali fra i seguenti punti non appartengono al grafico della funzione $f(x)=\frac{1-x^{2}}{x}$ [a] $(1 ; 0)$ $5(0 ; 1)$ E $\left(-2 ; \frac{3}{2}\right)$ (motiva la risposta) [] $(-1 ; 0)$ [e $\left(-3 ;-\frac{10}{3}\right)$

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Problem 29909

4) Jack is a freshman attending a 4 -year college. He has been approved for an $\$ 8,900$ subsidized federal loan at $4.75 \%$ for 10 years. How much will the U.S. Department of Education subsidize in interest costs during the 4.5-year nonpayment period. Use I= Prt.

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Problem 29910

202 Duante le riprese di un film di azione, un oggetto viene lanciato dalla fonestra di un grattacielo a unaltezza di $60,0 \mathrm{~m}$ verso una parete verticale distante $25,0 \mathrm{~m}$ . La velocità con cui l'oggetto viene lanclato è inclinata di $45,0^{8}$ verso lalto rispetto all'orizzontale, mentre quella con cui impatta sulla parete forma un angolo di $60^{\circ}$ verso il basso con lorizzontale. Trova: a. il modulo della velocità di lancio: b. laltezza dal suolo del punto di impatto con la parete. [13,4 m/s; 50,8m]

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Problem 29911

侪 $\sqrt{2}$ Write the equation in standard form for the hyperbola $-2 x^{2}+y^{2}+12 y-32=0$ $\square$ 믐 () 2 Submit

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Problem 29912

ame the Field Axiom that was use $x+(y+z)=(x+y)+z$

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Problem 29913

$(-2 a)^{4}$

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Problem 29914

Determine the real roots of the cubic function $f(x)=x^{3}+3 x^{2}-13 x-15$ . Correctly plot the THREE roots on the coordinate plane.

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Problem 29915

Question 10 of 10 An object with a mass of 10 kg has a potential energy of 2000 J . Based on this Information, how high above the ground is the object? (10 points) A. 196000 m B. 20000 m

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Problem 29916

6. For each equation below, find the value(s) of $x$ that $m$ (Lesson 2-18) a. $10=\frac{1+7 x}{7+x}$ b. $0.2=\frac{6+2 x}{12+x}$ c. $0.8=\frac{x}{0.5+x}$ d. $3.5=\frac{4+2 x}{0.5-x}$

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Problem 29917

Questions à choix multiples (1) Quel point appartient à l'ensemble-solution de l'inéquation $2 x+5 y<24$ ? a) $A(7,2)$ b) $\mathrm{B}(2,7)$ (c)) $\mathrm{C}(-3,5)$ d) $D(5,3)$

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Problem 29918

9. What is $(2 i-5)(4+7 i)$ in simplest form? $14 i^{2}-27 i-20$ $57 i+20$ $-27 i-34$ $-27 i-6$ Clear All

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Problem 29919

15. What are the solutions for the quadratic function $y=3 x^{2}-8 x+7$ ? $x=\frac{4 \pm i \sqrt{5}}{3}$ $x=\frac{-4 \pm i \sqrt{5}}{3}$ $x=-6 ; x=14$ $x=\frac{8 \pm \sqrt{20}}{6}$

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Problem 29920

Roger factored a polynomial to determine that the zeros of the polynomial are located at $x=-5, x=-2$ and $x=3$ . Which of the following functions is the factored form of that polyno A. $f(x)=(x+5)(x+2)(x+3)$ B. $f(x)=(x-5)(x-2)(x-3)$ C. $f(x)=(x-5)(x-2)(x+3)$ D. $f(x)=(x+5)(x+2)(x-3)$

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Problem 29921

Factorise $7(5 x-y)^{2}-(y-5 x)$

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Problem 29922

6. Simplify $(9 m+n)^{2}-(9 m-n)^{2}$ .

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Problem 29923

17. Reflect the function $f(x)=x^{3}$ about the $x$ -axis and translate it 3 units to the left to produce $g(x)$ . Which equation represents the function $g(x)$ ?
$g(x)=-(x+3)^{3}$
$g(x)=-x^{3}-3$
$g(x)=-x^{3}+3$
$g(x)=-(x-3)^{3}$

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Problem 29924

Which system of linear inequalities is graphed? $\left\{\begin{array}{c}x<-2 \\ y \leq-x-1\end{array}\right.$ $\left\{\begin{array}{c}x<-3 \\ y \leq-x-1\end{array}\right.$ $\left\{\begin{array}{c}x<-3 \\ y \leq-f ⿹ 勹+1\end{array}\right.$ $\left\{\begin{array}{c}x \leq-3 \\ y \leq-x-3\end{array}\right.$ 1 2 3

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Problem 29925

Lee saw c cardinals and 5 robins in his yard. Choose the expression that shows the number of birds Lee saw in all. $c+5$ $c-5$ $\frac{c}{5}$ $5 c$ Suktronit

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Problem 29926

11. The function $g(x)=4(x-6)^{3}-2$ was created by transforming $f(x)=x^{3}$ . To create $g(x), f(x)$ was -Choose the correct answer - - , then was $\qquad$ and then was -Choose the correct answer - . - Choose the correct answer - stretched vertically by a factor of 4 Clear All compressed vertically by a factor 4

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Problem 29927

$\qquad$ 2. Which set of ordered pairs represents $y$ as a function of $x$ ? A. $\{(2,5),(3,7),(4,9),(5,11)\}$ B. $\{(-1,6),(-4,3),(0,5),(-1,8)\}$ C. $\{(0,25),(-1,17),(14,-9),(0,-3)\}$ D. $\{(-5,-5),(-5,9),(-4,-2),(-3,1)\}$

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Problem 29928

Simplify: $\log _{2} 16 d$ $4 \log _{2} d$ $\log _{2} 4 d$ $\log _{2}(4+d)$ $4+\log _{2} d$

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Problem 29929

Find the right number that fits the sequence. $\begin{array}{lllllll}7 & 4 & 10 & 12 & 13 & 36 & ?\end{array}$
49 25 16 15 72 Continue

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Problem 29930

solution. $\begin{array}{l} x+2 y=-8 \\ y=-\frac{3}{2} x-6 \end{array}$
Click to select points on the graph.

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Problem 29931

Find the product. $\begin{array}{l} \left(6 x-\frac{1}{4}\right)\left(6 x+\frac{1}{4}\right) \\ \left(6 x-\frac{1}{4}\right)\left(6 x+\frac{1}{4}\right)= \end{array}$

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Problem 29932

Simplify. $-\left(-3+\frac{i}{5}\right)+\frac{i}{15}-\frac{3+3 i}{5}$
Write your answer in the form a + bi. Simplify all fractions. $\square$

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Problem 29933

What is the magnitude of an earthquake 1410 times as intense as a standard earthquake? a) 3.15 b) 3.74 c) 2.61 d) 2.96

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Problem 29934

Divide. $\begin{array}{l} \frac{30 y^{7}-6 y^{2}+12 y}{6 y^{2}} \\ \frac{30 y^{7}-6 y^{2}+12 y}{6 y^{2}}= \end{array}$

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Problem 29935

Addition and Subtraction $1\left(2 x^{2}-5 x+7\right)+\left(3 x^{2}+3 x-5\right)$
2. $\left(2 x^{2}-5 x+7\right)-\left(x^{2}+3 x-5\right)$
Multiplication and Division
1. $\left(3 x^{2} y^{2} z\right)\left(5 x^{2} y z^{2}\right)$
2. $\left(3 x y^{2}\right)\left(3 x^{2}+2 x y-5 y^{2}\right)$
3. $\frac{30 r^{2} y^{2} z}{6 x^{2} y^{2}}$
4. $\frac{5 x^{-3}}{2 y^{-1}}$ : $5 x^{2}+2 x+2$ $15 x^{6} y^{3} z^{3}$ $3 x^{2}-2 x+2$ $x^{2}-8 x+12$ $9 x^{3} y^{2}+6 x^{2} y^{3}-15 x y^{4}$ $5 x^{2}-2 x+2$ $6 x^{2} y^{2}+5 x y^{2}-8 x y^{4}$ : $\frac{5 x}{z^{4}}$ $=\frac{5 y^{2}}{2 x^{2}}$ $=\frac{2 y^{2}}{5 x^{2}}$

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Problem 29936

7. Let $f(x)=2 x^{4}-4 x^{3}-22 x^{2}+32 x+48$ . a. (2 points) Use your graphing calculator to find the integer zeros of $y=f(x)$ . b. (6 points) Use synthetic or polynomial division to find any remaining real zeros (if any exist). c. (4 points) Factor $f$ completely over the real numbers. Here, "completely factor" means that $f$ should be made up of only linear and/or irreducible quadratic factors. An irreducible quadratic is a quadratic function with no real zeros such as $x^{2}+1$ . $f(x)=$

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Problem 29937

Factor out the greatest com polynomial. $8 z-4$

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Problem 29938

Factor the expression completely. $392 x^{4}-128 x^{2} y^{2}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $392 x^{4}-128 x^{2} y^{2}=$ $\square$ (Simplify your answer.) B. $392 x^{4}-128 x^{2} y^{2}$ is prime.

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Problem 29939

Solve. $\begin{array}{l} y^{3}-8 y^{2}-9 y=0 \\ y=\square \end{array}$ $\square$ (Use a comma to separate answers as needed.)

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Problem 29940

$5 x^{2}(x-2)-x(4 x+2)-9 x^{2}(-3 x)$

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Problem 29941

In the equation $\log _{3}(7 x-1)=\log _{3}(5 x+17)$ , what is the value of $x$ a) 7 b) 9 c) 11 d) 13 a b C d

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Problem 29942

Quadratic Formula
Solve for x . $\begin{array}{c} x^{2}-5 x-24=0 \\ x=[?] \end{array}$
Remember the quadratic formula: $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

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Problem 29943

3. Can a function be its own inverse? Explain.

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Problem 29944

atic by factoring. $2 x^{2}+9 x-1=2 x-7$

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Problem 29945

5. Which of the following values of $x$ does not lie in the domain of $y=-2 \sqrt{5-2 x}$ ? (1) -3 (3) 2.5 (2) 2 (4) 4
COMMON CORE Algebra II, Final ASSESSMENTS (1)

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Problem 29946

New! Multi Part Question - when you answer this question we'll mark each part individually Bookwork code: 1E Calculator allowed
Work out the solutions to these simultaneous equations: $\begin{aligned} x & =5-y \\ y^{2} & =3 x+28 \end{aligned}$
If any of your answers are decimals, give them to 2 d.p.

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Problem 29947

Write $(-5+10 i)^{2}$ in simplest $a+b i$ form.

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Problem 29948

recelculus Q-s Propertes of matrices w. Ras bave gris
If $E=\left[\begin{array}{ccc}-3 & 1 & -1 \\ -3 & 3 & 1\end{array}\right], F=\left[\begin{array}{cc}5 & 1 \\ 4 & -1 \\ -3 & -3\end{array}\right]$ , and $G=\left[\begin{array}{cc}-5 & -1 \\ -2 & 1\end{array}\right]$ , is the following statement true or false? $E(F G)=(G) F$ true false Subm:

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Problem 29949

Math $2 A$ REVIEW SHOW ALL WORK Unit 5 Module 9 Linear Equations and Inequalities Name $\qquad$ Datel Per $\qquad$ LT SA: I can solve and write multi-step equations that intudo declmbls and froctions. I can solve the eral equaktons. 1) Solve the equation for $x$ . 2) Solve the equation for $x$ . $7 x+8(x-3)=12-3 x$ $14.3 h-6.5 h=10.3 h+9$

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Problem 29950

$\frac{5 \sqrt{6}}{-\sqrt{3}}$

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Problem 29951

5
Stacy graphed the line $y-5=2(x-4)$ on a coordinate grid. What is the slope and $y$ -intercept of this line? (A) Slope: 2, y-intercept: -3 (B) Slope: 2,y-intercept: 3 (C) Slope: $1 / 2, y$ -intercept: 3 (D) Slope: $1 / 2, y$ -intercept: -3

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Problem 29952

b. Is the relation a function? Explain.
The relation is not a function because $\square$ there is an input that is assigned more than $\square$ Question
2 of 12 Back Next Review Progress Sign out Dec 16 9:22 INTL

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Problem 29953

If the range of a quadratic function is $5 \leq y<\infty$ , which of the following could be true? None of these are correct. The parabola has a maximum at $(2,5)$ . The parabola has a minimum at $(2,1)$ . The parabola has a maximum at $(5,1)$ .

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Problem 29954

a) Factorise $x^{2}+9 x+14$ . b) By sketching a graph, solve the inequality $x^{2}+9 x+14 \leq 0$ .

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Problem 29955

Factoring the following polynomial completely using the greatest common factor. If the expression cannot be factored enter the expression as is. $81 x^{5}-99 x^{4}+9 x^{2}$

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Problem 29956

Work out the lowest integer value that $k$ can take if $7+4 k>k+40$

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Problem 29957

6 vans transported a total of $f \mathrm{~kg}$ of food to a wedding venue. Each van transported the same amount of food, which was at least 30 kg .
Write and solve an inequality for $f$ .

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Problem 29958

$\begin{array}{r}3 x-4=8 \\ x=\end{array}$

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Problem 29959

quations below? $5 x-2=18$

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Problem 29960

Subtract the polynomials. See Example
49. $\left(3 a^{2}-2 a+4\right)-\left(a^{2}-3 a+7\right)$

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Problem 29961

1 Multiple Choice
1 point Add or subtract. $\frac{5}{x-2}+\frac{3}{x-5}$ $\frac{8 x+31}{(x-2)(x-5)}$ $\frac{-8 x-31}{(x-2)(x-5)}$ $\frac{8 x}{(x-2)(x-5)}$ $\frac{8 x-31}{(x-2)(x-5)}$

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Problem 29962

A bridge is supported by three arches. The function that describes the arches is $h(x)=-0.25 x^{2}+2.375 x$ , where $h(x)$ is the height, in metres, of the arch above the ground at any distance, $x$ , in metres, from one end of the bridge. How far apart ar the bases of each arch? 1) 9.5 m 2) 9.2 m 3) 8.6 m 4) 10.3 m

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Problem 29963

Questions 1 through 3 refer to the following. The function $f$ is given by $f(x)=2.5 x^{4}+3 x^{3}-2.6 x^{2}-5.1 x-5.6$ .
2 2 Mark for Review Part B Find all real zeros of $f$ . Note On your AP Exam, you will handwrite your responses to free-response questions in a test booklet
B $\square$ I $\underline{u}$ U $\Omega$ $\checkmark$ do 国睨 $\leftrightarrows$ $\rightarrow$ $x^{2}$ $x_{2}$ I

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Problem 29964

$\log (3 x-7)+\log (3 x+1)=1+\log 2$

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Problem 29965

How many zeros does $f(x)=a(x-5)^{2}$ have if $a<0$ ? 1) It is impossible to determine. 2) 1 3) 0 4) 2

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Problem 29966

Frintrics
Question 3 Usten
You are given the following polynomials: $\begin{array}{l} f(x)=x^{4}-x^{2} \\ g(x)=x^{3}+x^{2} \\ h(x)=x^{4}+x^{2} \end{array}$
Determine the new polynomial and appropriate names for $f(x)+g(x)$ and $f(x)-n(x)$ . (Wress on an item in the answer box, and then press on the box under the corresponding category. To remove an item, you can press on the box and the trash icon to the right of the ltem you want to remove. $f(x)+g(x) \quad F(x)-h(x)$
Answer Bank binomial $x^{4}+x^{2}$ quadratic quartic $-2 x^{2}$

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Problem 29967

uestion 34 (2 points) A quadratic function has an equation that can be written in the form $f(x)=a(x-H(x-$ s). The graph of the function has $x$ -intercepts at $(-4,0)$ and $(2,0)$ and passes through the point $(-2,-8)$ . Write the equation of the function.

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Problem 29968

Emetry Liam Peview Part? 2 of 16 Next >
Write an equation that is parallel to $y=2 *-5$ and goes through the point $(7,-2)$ $y=$

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Problem 29969

c) Joey wants to transform the parent function $g(t)=t_{\text {into }} g(t)=-3(t-0.9)^{2}-2$ . Which is not a step in that transformation? (A) Reflection across the $x$ -axis (B) Translation 0.9 units right (C) Vertical shrink by a factor of 3 (D) Translation 2 units down

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Problem 29970

Select all the correct answers.
Which vectors are unit vectors? $u=\left\langle-\frac{1}{3} \sqrt{\frac{7}{2}}, \frac{1}{3} \sqrt{\frac{13}{2}}\right\rangle$ $u=\left\langle\frac{1}{\sqrt{3}},-\sqrt{\frac{2}{3}}\right\rangle$ $u=\left\langle\frac{1}{2} \sqrt{\frac{5}{3}},-\frac{1}{2} \sqrt{\frac{7}{3}}\right\rangle$ $\mathbf{u}=\left\langle\frac{3}{\sqrt{7}},-\frac{2}{\sqrt{7}}\right\rangle$

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Problem 29971

What are the solutions to $100 x^{2}-1=0$ ? Use the keypad to enter your answers in the boxes. Find more symbols by using the drop-down arrow at the top of the keypad.
The solutions to the quadratic equation are $x=$ $\square$ and $x=$ $\square$

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Problem 29972

Write the equation of the line that passes through the points $(-6,7)$ and $(4,-1)$ . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
Answer Attempt 2 out of 2 $\qquad$ Submit Answer

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Problem 29973

1. Solve each equation. a) $(2 x-5)(3 x+8)=0$

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Problem 29974

Solve using the quadratic formula. $k^{2}-k-4=0$
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $k=$ $\square$ or $k=$ $\square$ Submit

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Problem 29975

Simplify: $-6(\sqrt{36 t}+3-\sqrt{t})$ $-48 \sqrt{t}$ $-30 \sqrt{t}+18$ None of these. $48 \sqrt{t}$ $-30 \sqrt{t}-18$

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Problem 29976

5/44
Combine like terms to simplify: $(5 x+2)+(4 x-5)$ $x+7$ $9 x+7$

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Problem 29977

Solve using the quadratic formula. $-2 t^{2}+9 t+7=0$
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $t=$ $\square$ or $t=$ $\square$

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Problem 29978

Select the correct answer. If $f(x)=\frac{2 x+1}{x-4}$ , what is the value of $f^{-1}(3)$ ? A. $\frac{22}{7}$ B. $\frac{19}{11}$ C. $\frac{8}{3}$ D. 13 E. 11

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Problem 29979

23. What is $\sqrt{-144}$ ?

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Problem 29980

2
Решите уравнение: $\log _{d}(3-2 x)=\log _{d}(2 x+5)$

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Problem 29981

Soit le sinte $\mu_{n}$ sefin por $\left\{\begin{array}{l}\mu_{0}=4 \\ \mu_{n+1}=\frac{1}{2}\end{array} \mu_{n}+5\right.$ a) calculer $\mu_{1}, \mu_{2}, \mu_{3}$ . b) justifier que (un) ni erthimethique ni Gcométrique o) expore $v_{n}=\mu_{n}-10$ . a) Montre que $\left(v_{n}\right)(S \cdot G)$ . b) Exprimer $v_{n}$ puis $u_{n}$ enfonction den d) oxpose $S_{n}=\sum_{k=0}^{n-1} v_{k}$ et $S_{n}^{\prime}=\sum_{k=0}^{n-1} \mu_{k}$ a) experime $S_{n}$ pins sn'enfonction dek. b) aluiler $S_{325}$ et $S_{2024}$ .

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Problem 29982

Write an expression to describe the sequence below. Use $n$ to represent the position of a term Questions answered in the sequence, where $n=1$ for the first term. $-65,-64,-63,-62, \ldots$ 13

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Problem 29983

Graph this line using the slope and $y$ -intercept: $y=x-6$
Click to select points on the graph.

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Problem 29984

(10) $\frac{2}{x^{2}-x}=\frac{1}{x-1}$

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Problem 29985

Write an equation of the line that passes through $(0,0)$ and $(2,6)$ . $y=$

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Problem 29986

Solve the inequality. $|x+8|>1$
Select the correct choice below and, if necessary, fill in the answ A. The solution is $\square$ (Type your answer in interval notation B. The solution set is $\varnothing$ .

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Problem 29987

Question 12 1 pts
What is the current price of a $\$ 1,000,6 \%$ coupon bond that pays interest semi-annually if the bond matures in ten years and has a yield-to-maturity of $7.1325 \%$ ? None of the given answers is correct. 920 567 1,030 1,080

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Problem 29988

Which of the following is the correct simplified difference quotient for $f(x)=\frac{2 x}{x-3} ?$ $-\frac{2}{(x+h-3)(x-3)}$ $\frac{2}{(x+h-3)(x-3)}$ $-\frac{2 h}{(x+h-3)(x-3)}$ $\frac{2 h}{(x+h-3)(x-3)}$ Nothing in this list is correct.

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Problem 29989

12. Use the elimination method by subtraction to solve for $x$ and $y$ .
Equation $1 \quad 4 x-3 y=-4$ Equation $2 \quad 4 x+5 y=28$
12a First solve for $y$ . Enter your next step here $12 b$ Submit step

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Problem 29990

Übung 3 Ortskurvennachweis Gegeben ist die $\operatorname{Schar}_{\mathrm{a}}(\mathrm{x})=\mathrm{ax}^{2}-\mathrm{x}(\mathrm{a}>0)$ . a) Untersuchen Sie $f_{a}$ auf Nullstellen und Extrema.

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Problem 29991

exam will have 30 multiple-choice questions. The procedures are similar to the previous exam. e 60 minutes to complete the exam. "None of the given answers is correct" means all four answers a rrect. Please be on time. Only one attempt is allowed. One question is shown at a time and is lockec wering or skipped.
Question 24 1 pts
Assume we have a PLAM for a $\$ 450,000$ mortgage with a 30 -year term and monthly payments. The "real" loan rate is $4 \%$ , with inflation rates of $6 \%, 5 \%$ , and $4 \%$ for years 1,2 , and 3 , respectively. The inflation adjustments to the loan balance are assumed to be made annually. What is the mortgage balance at the end of the month 43rd? None of the given answers is correct. 475,658 484,604 488,659 457,658

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Problem 29992

6. Untersuchung von Funktionenscharen
Untersuchen Sie die Schar $f_{a}$ auf Nullstellen und Extrema. Zeichnen Sie $f_{a}$ . Es gelte $a>0$ . a) $f_{a}(x)=-\frac{1}{a} x^{2}+a x$ ,

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Problem 29993

CCA2 > Chapter 2 > Lesson 2.1.2 > Problem 2-24
Consider the equations $y=3(x-1)^{2}-5$ and $y=3 x^{2}-6 x-2$ . a. Verify that they are equivalent by creating a table or graph for each equation. $\square$ $\checkmark$ Hint (a): Here are a couple of points on the table. Make sure you get these points and continue both of your tables for at leas \begin{tabular}{c|c|} \hline $x$ & $y$ \\ \hline-2 & 22 \\ \hline-1 & \\ \hline 0 & \\ \hline 1 & -5 \\ \hline 2 & \\ \hline \end{tabular}

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Problem 29994

6. $f(x)=4^{x}\left(\frac{2}{x^{5}}+\frac{1}{3 x}\right)$

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Problem 29995

Home > CCA2 > Chapter 2 > Lesson 2.1.2 > Problem 2-29
2-29. Suppose your parents spend an average of $\$ 300$ each month for your food. a. In five years, when you are living on your own, how much will you be spending on food each month if you are eating about $4 \%$ per year? $\square$ $\checkmark$ Hint (a): Each year, food will cost 1.04 times the cost of the previous year. $\checkmark$ Answer (a): $300(1.04)^{5} \approx 365.00$ b. Write an equation that represents your monthly food bill $x$ years from now if both the rate of inflation and your eating Hint (b): What does the exponent mean in the equation used in part (a)?

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Problem 29996

Barbie is thinking of a number twenty less than one third of the number is 72 , find the number.

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Problem 29997

Write an equation in point-slope form of the line that passes through the given point and with the given slope $m$ . $(-6,5) ; m=7$
The equation of the line is $\square$ (Simplify your answer. Type your answer in point-slope form.)

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Problem 29998

Solve for $y$ . $y^{2}-6 y+8=0$

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Problem 29999

Rewrite $x^{2}+14 x-10=0$ in the form $(x-p)^{2}=q$ by completing the square. Use the keypad to enter your answer in the box. Find more symbols by using the drop-down arrow at the top of the keypad. $x^{2}+14 x-10=0$ in the form $(x-p)^{2}=q$ is $\square$ 7.

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Problem 30000

Multiply. $(5 c-8)(-4 c+5)$

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Algebra

Problem 29901

Problem 29902

Question 16 of 18 Let AAA be 2×22 \times 22×2 matrix with det⁡(A)=−2\operatorname{det}(A)=-2det(A)=−2, then det⁡(4A−1)=\operatorname{det}\left(4 A^{-1}\right)=det(4A−1)= 8 - 2 2 1/81 / 81/8

Problem 29903

Problem 29904

m+n=9m−n=2\begin{array}{l}m+n=9 \\ m-n=2\end{array}m+n=9m−n=2​

Problem 29905

Problem 29906

1) Determina dominio intersezioni con gli assi e segno della funzione y=1x3−10x2+25xy=\frac{1}{x^{3}-10 x^{2}+25 x}y=x3−10x2+25x1​ Indica se la funzione è pari, dispari o né pari né dispari. Disegna le parti di piano in cui la funzione esiste

Problem 29907

Problem 29908

Problem 29909

4) Jack is a freshman attending a 4 -year college. He has been approved for an $8,900\$ 8,900$8,900 subsidized federal loan at 4.75%4.75 \%4.75% for 10 years. How much will the U.S. Department of Education subsidize in interest costs during the 4.5-year nonpayment period. Use I= Prt.

Problem 29910

Problem 29911

侪 2\sqrt{2}2​ Write the equation in standard form for the hyperbola −2x2+y2+12y−32=0-2 x^{2}+y^{2}+12 y-32=0−2x2+y2+12y−32=0 □\square□ 믐 () 2 Submit

Problem 29912

ame the Field Axiom that was use x+(y+z)=(x+y)+zx+(y+z)=(x+y)+zx+(y+z)=(x+y)+z

Problem 29913

(−2a)4(-2 a)^{4}(−2a)4

Problem 29914

Determine the real roots of the cubic function f(x)=x3+3x2−13x−15f(x)=x^{3}+3 x^{2}-13 x-15f(x)=x3+3x2−13x−15. Correctly plot the THREE roots on the coordinate plane.

Problem 29915

Question 10 of 10 An object with a mass of 10 kg has a potential energy of 2000 J . Based on this Information, how high above the ground is the object? (10 points) A. 196000 m B. 20000 m

Problem 29916

6. For each equation below, find the value(s) of xxx that mmm (Lesson 2-18) a. 10=1+7x7+x10=\frac{1+7 x}{7+x}10=7+x1+7x​ b. 0.2=6+2x12+x0.2=\frac{6+2 x}{12+x}0.2=12+x6+2x​ c. 0.8=x0.5+x0.8=\frac{x}{0.5+x}0.8=0.5+xx​ d. 3.5=4+2x0.5−x3.5=\frac{4+2 x}{0.5-x}3.5=0.5−x4+2x​

Problem 29917

Questions à choix multiples (1) Quel point appartient à l'ensemble-solution de l'inéquation 2x+5y<242 x+5 y<242x+5y<24 ? a) A(7,2)A(7,2)A(7,2) b) B(2,7)\mathrm{B}(2,7)B(2,7) (c)) C(−3,5)\mathrm{C}(-3,5)C(−3,5) d) D(5,3)D(5,3)D(5,3)

Problem 29918

9. What is (2i−5)(4+7i)(2 i-5)(4+7 i)(2i−5)(4+7i) in simplest form? 14i2−27i−2014 i^{2}-27 i-2014i2−27i−20 57i+2057 i+2057i+20 −27i−34-27 i-34−27i−34 −27i−6-27 i-6−27i−6 Clear All

Problem 29919

15. What are the solutions for the quadratic function y=3x2−8x+7y=3 x^{2}-8 x+7y=3x2−8x+7 ? x=4±i53x=\frac{4 \pm i \sqrt{5}}{3}x=34±i5​​ x=−4±i53x=\frac{-4 \pm i \sqrt{5}}{3}x=3−4±i5​​ x=−6;x=14x=-6 ; x=14x=−6;x=14 x=8±206x=\frac{8 \pm \sqrt{20}}{6}x=68±20​​

Problem 29920

Problem 29921

Factorise 7(5x−y)2−(y−5x)7(5 x-y)^{2}-(y-5 x)7(5x−y)2−(y−5x)

Problem 29922

6. Simplify (9m+n)2−(9m−n)2(9 m+n)^{2}-(9 m-n)^{2}(9m+n)2−(9m−n)2.

Problem 29923

Problem 29924

Problem 29925

Lee saw c cardinals and 5 robins in his yard. Choose the expression that shows the number of birds Lee saw in all. c+5c+5c+5 c−5c-5c−5 c5\frac{c}{5}5c​ 5c5 c5c Suktronit

Problem 29926

Problem 29927

Problem 29928

Simplify: log⁡216d\log _{2} 16 dlog2​16d 4log⁡2d4 \log _{2} d4log2​d log⁡24d\log _{2} 4 dlog2​4d log⁡2(4+d)\log _{2}(4+d)log2​(4+d) 4+log⁡2d4+\log _{2} d4+log2​d

Problem 29929

Find the right number that fits the sequence. 7410121336?\begin{array}{lllllll}7 & 4 & 10 & 12 & 13 & 36 & ?\end{array}7​4​10​12​13​36​?​49 25 16 15 72 Continue

Problem 29930

solution. x+2y=−8y=−32x−6\begin{array}{l} x+2 y=-8 \\ y=-\frac{3}{2} x-6 \end{array}x+2y=−8y=−23​x−6​Click to select points on the graph.

Problem 29931

Find the product. (6x−14)(6x+14)(6x−14)(6x+14)=\begin{array}{l} \left(6 x-\frac{1}{4}\right)\left(6 x+\frac{1}{4}\right) \\ \left(6 x-\frac{1}{4}\right)\left(6 x+\frac{1}{4}\right)= \end{array}(6x−41​)(6x+41​)(6x−41​)(6x+41​)=​

Problem 29932

Simplify. −(−3+i5)+i15−3+3i5-\left(-3+\frac{i}{5}\right)+\frac{i}{15}-\frac{3+3 i}{5}−(−3+5i​)+15i​−53+3i​Write your answer in the form a + bi. Simplify all fractions. □\square□

Problem 29933

What is the magnitude of an earthquake 1410 times as intense as a standard earthquake? a) 3.15 b) 3.74 c) 2.61 d) 2.96

Problem 29934

Divide. 30y7−6y2+12y6y230y7−6y2+12y6y2=\begin{array}{l} \frac{30 y^{7}-6 y^{2}+12 y}{6 y^{2}} \\ \frac{30 y^{7}-6 y^{2}+12 y}{6 y^{2}}= \end{array}6y230y7−6y2+12y​6y230y7−6y2+12y​=​

Problem 29935

Problem 29936

Problem 29937

Factor out the greatest com polynomial. 8z−48 z-48z−4

Problem 29938

Problem 29939

Solve. y3−8y2−9y=0y=□\begin{array}{l} y^{3}-8 y^{2}-9 y=0 \\ y=\square \end{array}y3−8y2−9y=0y=□​ □\square□ (Use a comma to separate answers as needed.)

Problem 29940

5x2(x−2)−x(4x+2)−9x2(−3x)5 x^{2}(x-2)-x(4 x+2)-9 x^{2}(-3 x)5x2(x−2)−x(4x+2)−9x2(−3x)

Problem 29941

In the equation log⁡3(7x−1)=log⁡3(5x+17)\log _{3}(7 x-1)=\log _{3}(5 x+17)log3​(7x−1)=log3​(5x+17), what is the value of xxx a) 7 b) 9 c) 11 d) 13 a b C d

Problem 29942

Quadratic FormulaSolve for x . x2−5x−24=0x=[?]\begin{array}{c} x^{2}-5 x-24=0 \\ x=[?] \end{array}x2−5x−24=0x=[?]​Remember the quadratic formula: x=−b±b2−4ac2ax=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}x=2a−b±b2−4ac​​

Problem 29943

3. Can a function be its own inverse? Explain.

Problem 29944

atic by factoring. 2x2+9x−1=2x−72 x^{2}+9 x-1=2 x-72x2+9x−1=2x−7

Problem 29945

5. Which of the following values of xxx does not lie in the domain of y=−25−2xy=-2 \sqrt{5-2 x}y=−25−2x​ ? (1) -3 (3) 2.5 (2) 2 (4) 4COMMON CORE Algebra II, Final ASSESSMENTS (1)

Problem 29946

Problem 29947

Write (−5+10i)2(-5+10 i)^{2}(−5+10i)2 in simplest a+bia+b ia+bi form.

Question 16 of 18 Let $A$ be $2 \times 2$ matrix with $\operatorname{det}(A)=-2$ , then $\operatorname{det}\left(4 A^{-1}\right)=$ 8 - 2 2 $1 / 8$

$\begin{array}{l}m+n=9 \\ m-n=2\end{array}$

1) Determina dominio intersezioni con gli assi e segno della funzione $y=\frac{1}{x^{3}-10 x^{2}+25 x}$ Indica se la funzione è pari, dispari o né pari né dispari. Disegna le parti di piano in cui la funzione esiste

4) Jack is a freshman attending a 4 -year college. He has been approved for an $\$ 8,900$ subsidized federal loan at $4.75 \%$ for 10 years. How much will the U.S. Department of Education subsidize in interest costs during the 4.5-year nonpayment period. Use I= Prt.

侪 $\sqrt{2}$ Write the equation in standard form for the hyperbola $-2 x^{2}+y^{2}+12 y-32=0$ $\square$ 믐 () 2 Submit

ame the Field Axiom that was use $x+(y+z)=(x+y)+z$

$(-2 a)^{4}$

Determine the real roots of the cubic function $f(x)=x^{3}+3 x^{2}-13 x-15$ . Correctly plot the THREE roots on the coordinate plane.

6. For each equation below, find the value(s) of $x$ that $m$ (Lesson 2-18) a. $10=\frac{1+7 x}{7+x}$ b. $0.2=\frac{6+2 x}{12+x}$ c. $0.8=\frac{x}{0.5+x}$ d. $3.5=\frac{4+2 x}{0.5-x}$

Questions à choix multiples (1) Quel point appartient à l'ensemble-solution de l'inéquation $2 x+5 y<24$ ? a) $A(7,2)$ b) $\mathrm{B}(2,7)$ (c)) $\mathrm{C}(-3,5)$ d) $D(5,3)$

9. What is $(2 i-5)(4+7 i)$ in simplest form? $14 i^{2}-27 i-20$ $57 i+20$ $-27 i-34$ $-27 i-6$ Clear All

15. What are the solutions for the quadratic function $y=3 x^{2}-8 x+7$ ? $x=\frac{4 \pm i \sqrt{5}}{3}$ $x=\frac{-4 \pm i \sqrt{5}}{3}$ $x=-6 ; x=14$ $x=\frac{8 \pm \sqrt{20}}{6}$

Factorise $7(5 x-y)^{2}-(y-5 x)$

6. Simplify $(9 m+n)^{2}-(9 m-n)^{2}$ .

Lee saw c cardinals and 5 robins in his yard. Choose the expression that shows the number of birds Lee saw in all. $c+5$ $c-5$ $\frac{c}{5}$ $5 c$ Suktronit

Simplify: $\log _{2} 16 d$ $4 \log _{2} d$ $\log _{2} 4 d$ $\log _{2}(4+d)$ $4+\log _{2} d$

Find the right number that fits the sequence. $\begin{array}{lllllll}7 & 4 & 10 & 12 & 13 & 36 & ?\end{array}$
49 25 16 15 72 Continue

solution. $\begin{array}{l} x+2 y=-8 \\ y=-\frac{3}{2} x-6 \end{array}$
Click to select points on the graph.

Find the product. $\begin{array}{l} \left(6 x-\frac{1}{4}\right)\left(6 x+\frac{1}{4}\right) \\ \left(6 x-\frac{1}{4}\right)\left(6 x+\frac{1}{4}\right)= \end{array}$

Simplify. $-\left(-3+\frac{i}{5}\right)+\frac{i}{15}-\frac{3+3 i}{5}$
Write your answer in the form a + bi. Simplify all fractions. $\square$

Divide. $\begin{array}{l} \frac{30 y^{7}-6 y^{2}+12 y}{6 y^{2}} \\ \frac{30 y^{7}-6 y^{2}+12 y}{6 y^{2}}= \end{array}$

Factor out the greatest com polynomial. $8 z-4$

Solve. $\begin{array}{l} y^{3}-8 y^{2}-9 y=0 \\ y=\square \end{array}$ $\square$ (Use a comma to separate answers as needed.)

$5 x^{2}(x-2)-x(4 x+2)-9 x^{2}(-3 x)$

In the equation $\log _{3}(7 x-1)=\log _{3}(5 x+17)$ , what is the value of $x$ a) 7 b) 9 c) 11 d) 13 a b C d

Quadratic Formula
Solve for x . $\begin{array}{c} x^{2}-5 x-24=0 \\ x=[?] \end{array}$
Remember the quadratic formula: $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

atic by factoring. $2 x^{2}+9 x-1=2 x-7$

5. Which of the following values of $x$ does not lie in the domain of $y=-2 \sqrt{5-2 x}$ ? (1) -3 (3) 2.5 (2) 2 (4) 4
COMMON CORE Algebra II, Final ASSESSMENTS (1)

Write $(-5+10 i)^{2}$ in simplest $a+b i$ form.

$\frac{5 \sqrt{6}}{-\sqrt{3}}$

5
Stacy graphed the line $y-5=2(x-4)$ on a coordinate grid. What is the slope and $y$ -intercept of this line? (A) Slope: 2, y-intercept: -3 (B) Slope: 2,y-intercept: 3 (C) Slope: $1 / 2, y$ -intercept: 3 (D) Slope: $1 / 2, y$ -intercept: -3

b. Is the relation a function? Explain.
The relation is not a function because $\square$ there is an input that is assigned more than $\square$ Question
2 of 12 Back Next Review Progress Sign out Dec 16 9:22 INTL

If the range of a quadratic function is $5 \leq y<\infty$ , which of the following could be true? None of these are correct. The parabola has a maximum at $(2,5)$ . The parabola has a minimum at $(2,1)$ . The parabola has a maximum at $(5,1)$ .

a) Factorise $x^{2}+9 x+14$ . b) By sketching a graph, solve the inequality $x^{2}+9 x+14 \leq 0$ .

Factoring the following polynomial completely using the greatest common factor. If the expression cannot be factored enter the expression as is. $81 x^{5}-99 x^{4}+9 x^{2}$

Work out the lowest integer value that $k$ can take if $7+4 k>k+40$

6 vans transported a total of $f \mathrm{~kg}$ of food to a wedding venue. Each van transported the same amount of food, which was at least 30 kg .
Write and solve an inequality for $f$ .

$\begin{array}{r}3 x-4=8 \\ x=\end{array}$

quations below? $5 x-2=18$

Subtract the polynomials. See Example
49. $\left(3 a^{2}-2 a+4\right)-\left(a^{2}-3 a+7\right)$

$\log (3 x-7)+\log (3 x+1)=1+\log 2$

How many zeros does $f(x)=a(x-5)^{2}$ have if $a<0$ ? 1) It is impossible to determine. 2) 1 3) 0 4) 2

Emetry Liam Peview Part? 2 of 16 Next >
Write an equation that is parallel to $y=2 *-5$ and goes through the point $(7,-2)$ $y=$

What are the solutions to $100 x^{2}-1=0$ ? Use the keypad to enter your answers in the boxes. Find more symbols by using the drop-down arrow at the top of the keypad.
The solutions to the quadratic equation are $x=$ $\square$ and $x=$ $\square$

Write the equation of the line that passes through the points $(-6,7)$ and $(4,-1)$ . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
Answer Attempt 2 out of 2 $\qquad$ Submit Answer

1. Solve each equation. a) $(2 x-5)(3 x+8)=0$

Solve using the quadratic formula. $k^{2}-k-4=0$
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. $k=$ $\square$ or $k=$ $\square$ Submit