The function g(x) is a transformation of the cube root parent function,
f(x) = y. What function is g(x)?
5
g(x)
f(x)
5
-5
A. g(x) = 1 va
B. g(x) = a + 2
C. g(x) = 27

The Function G(x) Is A Transformation Of The Cube Root Parent Function,f(x) = Y. What Function Is G(x)?5g(x)f(x)5-5A.

Answers

Answer 1

Answer:

g(x) = [tex]2(\sqrt[3]{x})[/tex]

Step-by-step explanation:

Parent function given in the graph attached is,

f(x) = [tex]\sqrt[3]{x}[/tex]

Function 'f' passes through a point (1, 1).

If the parent function is stretched vertically by 'k' unit,

Transformed function will be,

g(x) = k.f(x)

Therefore, the image of the parent function will be,

g(x) = [tex]k(\sqrt[3]{x})[/tex]

Since, the given function passes through (1, 2)

g(1) = [tex]k(\sqrt[3]{1})[/tex] = 2

⇒ k = 2

Therefore, image of the function 'f' will be,

g(x) = [tex]2(\sqrt[3]{x})[/tex]


Related Questions

Which point on the graph best represents the location of left parenthesis minus 4.5 comma space minus 7 right parenthesis ?

Answers

Answer:

The answer would be A which is L

Answer:

so its A?

Step-by-step explanation:

Three dressers are placed side by side. One dresser is 3 feet 9 inches wide, another is 3 feet 3 inches wide, and the third is feet inches wide. How wide are they combined? Write your answer in feet and inches. Use a number less than for inches

Answers

This question is incomplete

Complete Question

Three dressers are placed side by side. One dresser is 3 feet 9 inches wide, another is 3 feet 3 inches wide, and the third is 5 feet 11 inches wide. How wide are they combined? Write your answer in feet and inches. Use a number less than for inches

Answer:

12 feet 11 inches

Step-by-step explanation:

To solve the above question, we would have to add up all the width of thee dressers together.

Hence:

3 feet 9 inches + 3 feet 3 inches + 5 feet 11 inches

= (3 feet + 3 feet + 5 feet) + (9 inches + 3 inches + 11 inches)

= 11 feet +( 23 inches)

Note that

12 inches = 1 feet

Hence:

11 feet (23 inches/12 inches)

11 feet (1 feet + 11 inches)

= 12 feet 11 inches.

Therefore, the width of the 3 dressers combined = 12 feet 11 inches

Write the equation of a line
that passes through: (0, 2) and (-1, 1)

Answers

Answer:

y = x + 2

Step-by-step explanation:

slope = Δy / Δx = (1-2) / (-1 - 0) = 1

pass (0,2): y intercept = 2    b=2

y = mx + b

equation: y = x + 2

What is the simplified expression for (screenshot)
A. 3/4
B. 4/3
C. 4²/3
D. 3³/4

Answers

Answer:

B. 4/3

Step-by-step explanation:

[tex] \frac{ {4}^{ - 3} . {3}^{4} . {4}^{2} }{ {3}^{5} . {4}^{ - 2} } \\ \\ = \frac{ {4}^{ - 3} . {4}^{2 + 2} }{ {3}^{5 - 4}} \\ \\ = \frac{ {4}^{ - 3} . {4}^{4} }{ {3}^{1}} \\ \\ = \frac{ {4}^{4 - 3} }{ {3}^{1}} \\ \\ = \frac{ {4}^{1} }{ {3}^{1}} \\ \\ = \frac{4}{3} [/tex]

Answer:

B. 4/3

Step-by-step explanation:

(4^-3 . 3^4 . 4^2)/(3^5 . 4^-2)

4^-3 . 4^2/ 4^-2 . 3^4/ 3^5

4^(-3+2-(-2)) . 3^(4-5)

4^1 . 3^-1

4 . 1/3 = 4/3

H = -16t^2 + 84t + 100 what is maxium height

Answers

Answer:

[tex]H=210.25\ \text{units}[/tex]

Step-by-step explanation:

Given that,

[tex]H = -16t^2 + 84t + 100[/tex] ...(1)

We need to find the maximum height

For maximum height, put dH/dt = 0

[tex]\dfrac{d(-16t^2 + 84t + 100)}{dt}=0\\\\-32t+84=0\\\\t=\dfrac{84}{32}\\\\t=2.625\ s[/tex]

Put t = 2.625 in equation (1)

[tex]H = -16(2.625)^2 + 84(2.625) + 100\\\\=210.25\ \text{units}[/tex]

Hence, the maximum height [tex]=210.25\ \text{units}[/tex]

can someone help me?!!

Answers

couldn't be me

Step-by-step explanation:

What is the equation of a line that passes through the points (–3, 4) and (2, 8)?

Answers

Answer:

=5

Step-by-step explanation:

4-9= -5

2-3 = -1

=5

.....

Answer:

y = \frac{4}{5}x + \frac{32}{5}

Step-by-step explanation:

(x₁ , y₁) = (-3, 4)  & (x₂ , y₂) = (2 , 8)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

         [tex]= \frac{8-4}{2-[-3]}\\\\= \frac{8-4}{2+3}\\\\= \frac{4}{5}[/tex]

m = 4/5 ;

Equation of the line: y - y₁ = m(x - x₁)

[tex]y - 4 = \frac{4}{5}(x - [-3])\\\\y - 4 = \frac{4}{5}(x +3)\\\\y - 4 = \frac{4}{5}x + \frac{4}{5}*3\\\\ y = \frac{4}{5}x + \frac{12}{5}+4\\\\ y = \frac{4}{5}x + \frac{12}{5} + \frac{4*5}{1*5}\\\\ y =\frac{4}{5}x + \frac{12}{5} +\frac{20}{5}\\\\ y = \frac{4}{5}x + \frac{32}{5}[/tex]

P L E A S E H E L L P P P P P P P P !! WILL MARK BRAINLIEST

Answers

Answer:

D or the last one

Step-by-step explanation:

Answer: its the last one

Step-by-step explanation:

its the last one

i hope i helped

if i did pls mark BRAINLIEST!!

k

Transform the quadratic function defined by y=ax2+bx+c into the form y=a(x-h)2+k 1.Y=x2-6x-3 2.Y=5x2-20x-5

Answers

Answer:

1) y = (x-3)²-12

2) y = 5(x-2)²-9

Step-by-step explanation:

Given the quadratic expressions

y=x²-6x-3

We are to transform it in the form y=ax²+bx+c

y=(x²-6x)-3

Complete the square of the expression in parenthesis

y = (x²-6x + (6/2)² - (6/2)²)-3

y = (x²-6x+3²-3²)-3

y = (x²-6x+9-9)-3

y = (x²-6x+9)-12

y = (x²-3x-3x+9)-12

y = x(x-3)-3(x-3)-12

y = (x-3)(x-3)-12

y = (x-3)²-12

Hence the transformation is y = (x-3)²-12 where a = 1 and k = -12

For the quadratic equation

y=(5x²-20x)-5

y = 5(x²-4x)- 5

Complete the square of the expression in parenthesis

y = 5(x²-4x+4-4)- 5

y = 5(x²-4x+4)-9

y = 5(x-2)²-9

Hence the transformation is y = 5(x-2)²-9 where a = 5 and k = -9

If a factory can produce 250 desks in 5 days, how many desks will it produce in 15 days?

Answers

Answer:

750 would be ur answer

Step-by-step explanation:

happy new year!

Answer:750 desks

Step-by-step explanation: I would start by setting up an equation. 5d=250 (d means days). Then, to isolate the d, I would divide both sides of the equation by 5. I would get d=50. So there are 50 desks made daily. To find out the number of desks made in 15 days, I would just multiply both sides of the equation d=50 by 15 and I would get 15d=750. That means, there are 750 desks produced in 15 days. I hope this helps you out a bit!

Easy answer for people good at right triangles.

Answers

I think the answer should be 60

what is the volume of the cone to the nearest cubic centimeter?

Answers

Answer:

301.44

Step-by-step explanation:

Which of these is not an equation?
A
3b = 5

B
43(4x + 7y)

C
78 = 3p - 37

D
a - 17 = 1,825,026

Answers

Option B is not an equation since it doesn't have the "=" sign. [It's an expression]

Hope it helps!

B, theres no equal sign

Which of the following lists is in order from smallest to largest?

a) ½, ⁷/11, ⅝, ⅔
b) ½, ⅔, ⅝, ⁷/11
c) ½, ⅝, ⁷/11, ⅔
d) ⁷/11, ½, ⅝, ⅔​

Answers

Answer:

C)

Step-by-step explanation:

1/2 = 0.5

5/8 = 0.625

7/11 = 0.63

2/3 = 0.66

Help please it’s urgent!

Answers

the correct answer is a, hope this helps

Find the equation of the line specified.
The line passes through the points (-2, 3) and (-4,7)
a. y = -2x-1
y = -4x-1
b. y = -2x +3
d. y = -2x + 7
C.
Please select the best answer from the choices provided

Answers

Find the slope

7-3 divided by -4--2

Slope is -2

substitute point in y=mx+b

7= -2(-4)+b

7=8+b

Move 8 to the other side as a negative number

b is equal to -1

Putting it all together we have y= -2x-1

Therefore, the answer is option a

Answer:

A……

Step-by-step explanation:

During second period, Kiera completed a grammar worksheet. Of the 90 questions, she got 70% right. How many questions did Kiera get right?

Answers

Answer:

we conclude that Kiera got the right 63 questions.

Step-by-step explanation:

Total questions = 90

The percentage of correct question = 70%

Using the formula

The number of correct questions = 70% of 90

                                                         = [70/100] × 90

                                                          = 0.7 × 90

                                                           = 63

Therefore, we conclude that Kiera got the right 63 questions.

What Is the solution to the system of equations? Y=-3x-2
5x+2y=15

Answers

Answer:

x,y=-19,55

Step-by-step explanation:

plug in y.

5x+2(-3x-2)=15

5x-6x-4=15

-x=19

x=-19.

Plug in.

y=-3(-19)-2

y=55

correct is B.

Hope this helps :D

Algebra...George bought 2 identical couches and 3 identical chairs. A couch cost twice as much as a chair. He spent $270 more on th ecouches than on the chairs. How much did he spend altogether

Answers

Answer:

$1890

Step-by-step explanation:

x= couches

y=chair.

x=2y

2x=3y+270

2(2y) or 4y=3y+270

y=270

x=540

2(540)+3(270)=1890.

Hope this helps :D

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The total spending is $1890

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

George bought 2 identical couches and 3 identical chairs.

A couch costs twice as much as a chair.

Let the cost of one couch = 2x

Let the cost of one chair = x

Now,

He spent $270 more on the couches than on the chairs.

This means that,

2(2x) = 270 + 3x

4x = 270 + 3x

Subtract x on both sides.

x = 270

The total spending.

= 4x + 3x

= 4 x 270 + 3 x 270

= 1080 + 810

= $1890

Thus,

The total spending is $1890

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

divide 3/4 divided ny 2/5​

Answers

Answer:

1.875

Step-by-step explanation:

I used a calculator

Answer:

1.36

Step-by-step explanation:

A volunteer group is planting trees at 6 different parks. They planted 70 trees at each park.
How many trees did the group plant in all?

Answers

Answer:

420 trees

Step-by-step explanation:

6 volunteers × 70 trees planted by each = 420 trees planted in total.

A rectangular block of metal is 25cm long, 11cm wide and 9cm high. The metal block is melted down and all of the metal is used to make a cube. Work out the length of each side of the new cube formed

Answers

Answer:

29.03 cm

Step-by-step explanation:

Step one:

given

A rectangular block of metal is

25cm long

11cm wide and

9cm high.

The volume of the block is

= 25*11*9

= 2475cm^3

Required

The dimension of an equivalent cube

we know that volume of cube

v=l^3

24475=l^3

cube root both sides

l= ∛24475

l= 29.03 cm

Answer:

13.5cm

Step-by-step explanation:

Tried the other answer and got it wrong and saw the right one.

Guys please help me with this question

Answers

Answer:

Colin will have to wait for 2 hours for the pond to completely empty

Step-by-step explanation:

Volume of a Prism

The volume of a prism of base area Ab and height H is computed with the formula:

V=Ab.H

We are given a pond in the shape of a prism with a trapezoidal base (front view).

The area of a trapezoid of bases b1 and b2, and height a, is given by:

[tex]\displaystyle A_b=\frac{b_1+b_2}{2}.a[/tex]

The parallel bases of the trapezoid have measures of b1=0.6 m and b2=1.4 m, and the height is a=2 m, thus the area is:

[tex]\displaystyle A_b=\frac{0.6+1.4}{2}*2[/tex]

[tex]A_b=2\ m^2[/tex]

The height of the prism is H=1m, thus the volume of the pond is:

[tex]V=2\ m^2*1\ m[/tex]

[tex]V=2\ m^3[/tex]

It's also known the level of the pond goes down by 20 cm (0.2 m) in the first 30 minutes. Note at this moment the level is still at the rectangular prism zone of the pond, thus the volume of water is calculated as the area of the face of water by the height it went down:

[tex]V_w=1\ m*2\ m*0.2\ m = 0.4\ m^3[/tex]

The pond still has this volume of water:

[tex]V_p=2\ m^3-0.4\ m^3=1.6\ m^3[/tex]

The pond was drained [tex]0.4\ m^3[/tex] in 30 minutes, thus the rest of the water will be taken out in

[tex]\frac{1.6}{0.4}*30 =120\ min[/tex]

Thus, Colin will have to wait for 2 hours for the pond to completely empty

Read and write each number in expanded form
6,203,103

Answers

Answer:

6,000,000+200,000+3,000+100+3

Step-by-step explanation:

what is the value of f(5) in f(x)=-2(x+1)

Answers

Answer:

-12

Step-by-step explanation:

Third time posting. Explain it too

Answers

Answer:

D. x-5 / x+4

Step-by-step explanation:

(-3x³ +9x² +30x) / (-3x³ -18x² - 24x)

=-3x (x²-3x-10) / -3x(x²+6x+8)

=-3x(x+2)(x-5) / -3x(x+2)(x+4)

=x-5 / x+4

Answer:

oooooooof

Step-by-step explanation:

Please please please help

Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $275. Write an equation in the standard form to represent the total rent (y) that Marguerite has to pay for renting the truck for x days. (4 points) Part B: Write the equation obtained in Part A using function notation. (2 points) Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)

(10 points)

Answers

Answer:

:)

Step-by-step explanation:

Part A: To get an equation into standard form to represent the total amount  rented (y) that Marguerite has to pay for renting the truck for x amount of days, we use the formula for the equation of a straight line.

Remember that the equation of a straight line passing through points is ( x_{1} , y_{1} ) and the points ( x_{2} , y_{2} ) is given by

y - y_{1} / x - x_{1} = y - y_{2} / x - x_{2}

Knowing that Marguerite rented a truck at $125 for 2 days, we know if she rents the exact same truck for 5 days, she has to pay a total of $275 for the rent.

This means that the line modeling this situation crosses points at (2, 125) and (5, 275).

The equation modeling the total rent (y) that Marguerite has to pay for renting the truck for x days is given by

y - 125 / x - 2 = 275 - 125 / 5 - 2 = 150 / 3 = 50

But if you are writing the equation in standard form it would be  

50x - y = -25

Part B:

When writing the function using function notation it means you are making y the subject of the formula and then replacing the y with f(x).

If you remember that from part A, we have that the equation for the total rent which is y that Marguerite has to pay for renting the truck for x amount of days is given by

y = 50x + 25.

Writing the equation using the function notation would give us this

f(x) = 50x + 25

Part C:

To graph the function, we name the x-axis the number of days and name the y-axis total rent. The x-axis is numbered using the intervals of 1 while the y-axis is numbered using the intervals of 50.

The points of (2,125) and of (5,275) are marked on the coordinate axis and a straight line is drawn to pass through these two points.

What is the answer to (8y -6

Answers

Answer:

Step-by-step explanation:

Incomplete presentation of question.  Did you want to factor out the greatest common factor (which is 2), obtaining 2(4y - 3)?  Or something else?  Also:  please note that if you use the left parenthesis ) , you MUST also use the right parenthesis ( .

please help! will mark brainliest

Answers

Answer:

I think b sorry if im wrong

Two stores sell the same refrigerator for the same original price. Store A advertises that the refrigerator is on sale for 15% off the original price. Store B advertises that it is reducing the refrigerator’s price by $150. When Stephanie compares the sale prices of the refrigerator in both stores, she concludes that the sale prices are equal. Let p represent the refrigerator’s original price. Which equation models this situation?

Answers

The correct answer is option A. Since store A is giving a discount of 15% on the original price i.e.$ p. Then, the price after discount will be equal to $ 0.85p . And, the second store B offers $150 less than the original price p i.e the price after reduction is $p-$150. Since both the proces after reduction are equal. Thus, $ 0.85p = $p-$150
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