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jenyasd209 [6]
2 years ago
5

What is the equation of y=x^3 with the given transformations? Vertical stretch by a factor of 3, horizontal shift 4 units to the

right, vertical shift 3 units down
Mathematics
2 answers:
Arte-miy333 [17]2 years ago
8 0
Y=3x^3(x-4)-3
y=a......(x-k)-c
GuDViN [60]2 years ago
8 0

Answer:

y=(1/3)(x^3+4)+3

Step-by-step explanation:

y=x^3

Anything vertical affects the y, anything horizontal affects the x.

Vertical stretch:

3y=x^3

Horizontal shift 4 to the right:

3y=x^3+4

Vertical shift 3 down:

3y-3=x^3+4

Get y isolated.

3y=(x^3+4)+3

y=(1/3)(x^3+4)+3

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schepotkina [342]

Answer:

3.7 hours

Step-by-step explanation:

Pat could do the job alone in 8 hours.

Patti could do the job alone in 7 hours

Output = Rate * time

Let the rate at which pat does the work = Rp

Let the rate at which Patti does the work = Rt

Let X be the total output

Rp * 8 = X

Rp = X/8

Rt * 7 = X

Rt = X/7

If both pat and Patti pick apples, we have

(Rp+Rt)T = X

(X/8 + X/7)T = X

[(7X + 8X)/56]T = X

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Divide both sides by X

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T = 56/15

T = 3.7 hours

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3 years ago
Alex wants to put a fence around a square garden. The garden has an area of 784 ft2.
Irina18 [472]
P = 4s
P = 4(28)
P = 112 ft

The perimeter of the garden is 112 feet.
7 0
3 years ago
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Answer:

Step-by-step explanation:

2(x-5)+2-3(5-2x)=16​

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6 0
3 years ago
What is the value of the expression below after it has been simplified completely? (2)(3)-(6)(4) A. –24 B. –18 C. 18 D. 24
AlexFokin [52]

Answer:

B

Step-by-step explanation:

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4 0
3 years ago
What is the volume of a rectangular prism with a length of 2 inches, a width of an inch &amp; is a quarter of an inch in height?
JulijaS [17]

Answer:

= 1/2 inches ^3

Step-by-step explanation:

The volume of a prism

V = l*w*h

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4 0
3 years ago
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