13
2. Use the bar diagram to solve the following equation:
4d + 5 = 13
d
d d d
5

Answer:

Step-by-step explanation:1) Find the domain of the given function. f(x) = square root of quantity x plus three divided by quantity x plus eight times quantity x minus two.

using a graphical tool    see the attachment  

the answer is C) x ≥ -3, x ≠ 2  

2. Identify intervals on which the function is increasing, decreasing, or constant.

g(x) = 2 - (x - 7)2

using a graphical tool    

see the attachment

the answer is  C) Increasing: x < 7; decreasing: x > 7

3. Perform the requested operation or operations.

f(x) = 4x + 7, g(x) = 3x2

Find (f + g)(x).

(f + g)(x) = f(x) + g(x)

(f + g)(x) = 4x + 7 + 3x^2

(f + g)(x) = 3x^2 + 4x + 7

The answer is  C) 4x + 7 + 3x2

4. Perform the requested operation or operations.

f(x) = x minus five divided by eight. ; g(x) = 8x + 5, find g(f(x)).

f(x)=(x-5)/8    g(x)=8x+5

g(f(x))=8((x-5)/8)+5=x-5+5=x

the answer is  B) g(f(x)) = x  

5. Find f(x) and g(x) so that the function can be described as y = f(g(x)).y = nine divided by square root of quantity five x plus five.

y=f(g(x))=9/((5x+5) ^1/2)

let do

g(x)=5x+5...........so

f(x)= 9/( x^1/2)

the answer is  A) f(x) = nine divided by square root of x. , g(x) = 5x + 5

6. A satellite camera takes a rectangular-shaped picture. The smallest region that can be photographed is a 4-km by 4-km rectangle. As the camera zooms out, the length l and width w of the rectangle increase at a rate of 3 km/sec. How long does it take for the area A to be at least 4 times its original size?

Original size- >4km*4km=16 km2

4 times its original size---------------4*(16km2)-----64 Km2----------- > 8 km by 8 Km

Therefore

3km----------------------------- 1 sec

(8km-4km)---------------------x

X=4/3=1.33 sec

The answer is D) 1.33 sec

7. Find the inverse of the function.

f(x) = the cube root of quantity x divided by seven. - 9

to solve, replace f(x) with y , switch x and y, solve for y and replace y with f⁻¹(x)

f(x)=((x/7)-9) ^(1/3)

replace f(x) with y

y=((x/7)-9) ^(1/3)

switch x and y

x=((y/7)-9) ^(1/3)

solve for y

x^3=((y/7)-9)

x^3+9=y/7

y=7(x^3+9)

the answer is C) f-1(x) = 7(x3 + 9)  

8. Describe how the graph of y= x2 can be transformed to the graph of the given equation.y = (x - 14)2 – 9

using a graphical tool     see the attachment  the answer is C) Shift the graph of y = x2 right 14 units and then down 9 units  

9. Describe how to transform the graph of f into the graph of g. f(x) = alt='square root of quantity x minus nine.' and g(x) = alt='square root of quantity x plus five. '

f(x)=(x-9) ^1/2  g(x)=(x+5) ^1/2

using a graphical tool     see the attachment

the answer is C) Shift the graph of f left 14 units

10. If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.

f(x) = -16x5 - 7x4 – 6

The answer is B) Degree: 5; leading coefficient: -16

11. Write the quadratic function in vertex form.y = x2 + 4x + 7

Complete the square on the right side of the equation

Use the form ax2+bx+cax2+bx+c, to find the values of a, b, and c.

a=1,b=4,c=7

Consider the vertex form of a parabola.

a(x+d)2+e

Find the value of dd using the formula d=b/2a

d=4/(2*1)=2

Find the value of e using the formula e=c−b2/4a

e=7−4=3

Substitute the values of a, d, and e into the vertex form a(x+d)2+e

(x+2)2+3

The answer is A) y = (x + 2)2+ 3

12. Find the zeros of the function.

f(x) = 3x3 - 12x2 - 15x

using a graphical tool   (see the attachment)x1=-1

x2=0

x3=5

The answer is C) 0, -1, and 5

13. Find a cubic function with the given zeros.7, -3, 2

X1=7

X2=-3

X3=2

f(x)=(x-7)(x+3)(x-2)=(x2-4x-21)(x-2)=x3-6x2-13x+42

the answer is C) f(x) = x3 - 6x2 - 13x + 42  

14. Find the remainder when f(x) is divided by (x - k).f(x) = 7x4 + 12x3 + 6x2 - 5x + 16; k = 3

f(x)=7(3)4+12(3)3+6(3)2-5(3)+16=946

 The answer is the B) 946

15.  Use the Rational Zeros Theorem to write a list of all potential rational zerosf(x) = x3 - 10x2 + 4x - 24

The constant term of () is -24

The leading coefficient is 1.

We have to only consider the factors of the constant (leading coefficient = 1)

The factors are 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24

The answer is A) ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24

Answer:

4

Step-by-step explanation:

2% of 100 is 2 then you do 2x2 for 4

Answer:

$104

Step-by-step explanation:

Compound interest is an interest on an interest. By that I mean you have $8 and 50% interest. 50% of 8 is 4, so 8+4=12. Then add on another 50%, half of 12 is 6. So 12+6 is 18, and so on.

Andrea has $100. 2% interest not compunded.

2% of 100 is 2.

So, 100+2 is 102.

Since it's not compounded, we just add another $2.

100+2+2=$104

Answer:

i got y = 3x + 4

Step-by-step explanation:

i graphed it

Answer:

slope = -1/4, y-intercept = 50

Step-by-step explanation:

x=0 y=50

x=100 y= 25

y= mx+b

b= 50

25= 100 m +50

100m = - 25

m= -1/4

where m is the slope and b is the y intercept

Answer:

A

Step-by-step explanation:

So it is 5+15<75 is the anwer

Answer: 1 1/12 feet

Step-by-step explanation:

Answer:

475 × 1.48^9 or 16182

Step-by-step explanation:

We start with 475. Then to find the number of students after 1 year we mult 475 by 1.48 (48% + 1 because we're increasing in students). But, to get it after 9 years, we raise that 1.48 to the power of 9 which is equal to 1.48 * 1.48 * 1.48 and so on 9 times. This leads us to our final equation of 475 * 1.48^9 or roughly 16,182

Answer:

Step-by-step explanation:

475 4.8

First, we determine the speed of the ferry by dividing the distance by the time it took to cover that certain distance.

speed = (1/6) / (3/7)

speed = 7/18

Then, the distance it will travel for an hour is calculated through the procedure below.

distance = (7/18hour) x (1 hour)

distance = 7/18

Therefore, after an hour, the ferry will be able to travel 7/18 of the distance between two ports.

Answer:

q=-3.4

Step-by-step explanation:

Answer:

A lot

Step-by-step explanation:

Answer:

385

Step-by-step explanation:

Answer:

that is a cone

Step-by-step explanation:

hope this helps and have a blessed day

Answer:

12.1 feet

Step-by-step explanation:

24.2/2 because H= 2 of the shortest leg

Answer:

A E F

Step-by-step explanation:

I just did it on a calculator and saw if was a recurring

Answer:

$87.50

Step-by-step explanation:

you do 12.50(hourly wage) times 7 (the number of hours worked)

This is the same as saying x < 0.5 since 1/2 = 0.5

====================================================

Work Shown:

2(1-x) > 2x

2*1 + 2*(-x) > 2x ..... distribute

2 - 2x > 2x

2 > 2x+2x .... adding 2x to both sides

2 > 4x

4x < 2 ..... flip both sides; flip the inequality sign

x < 2/4 ..... dividing both sides by 4; see note below

x < 1/2

Note: We do not flip the inequality sign here because we are dividing both sides by a positive value. The inequality sign would only flip if you divide both sides by a negative number.

Answer: Is D

Step-by-step explanation:

I hope I am right if I'm not please correct me

Answer:

B.The rate of change of function A is 2.

The rate of change of function B is 2.

Rate of function A: 2 (coefficient for x)

Rate of function B: 2, because an increment of 1 in x (e.g. 3 to 4) yields an increment of 2 in y (3 to 5)

Have a beautiful day!

10x^2 - x - 2

10x^2 - 5x + 4x - 2

10x^2 + (-5x + 4x) - 2

10x^2 - x - 2

Answer:

B.

Step-by-step explanation:

4*s = 4s

4*3 = 12

Use the property of distribution

hope this helps :)

Answer: 4 (s + 3)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The amount of money they get is 9n so it will be a multiple of 9, and it cannot be negative because there cannot be negative customers

Answer:

D

Step-by-step explanation:

a clockwise rotation 90 degrees results in a transformation like this:

[tex](x,y)[/tex]⇒[tex](y,-x)[/tex]

plz mark me brainliest. :)

Answer:

-5 and -5

Step-by-step explanation:

I believe, and know you can multiply -5 by -5 to get 25 and you can add -5 by -5 to get -10.

Answer:

46

Step-by-step explanation:

46% of 100 is 46