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olga55 [171]
3 years ago
5

Determine the cubic function that is obtained from the parent function y = x^3 under a vertical stretch by a factor of ​5, a ref

lection across the​ x-axis, a vertical translation 1 unit down​, and a horizontal translation 7 units right .
Mathematics
2 answers:
djyliett [7]3 years ago
5 0

Answer:

y = -5(x - 7)^3 - 1

Step-by-step explanation:

You kind of just plug in the numbers.

a vertical stretch by a factor of ​5: y = 5x^3

a reflection across the​ x-axis: y = -5x^3

a vertical translation 1 unit down: -5x^3 - 1

a horizontal translation 7 units right: -5(x - 7)^3 -1

MatroZZZ [7]3 years ago
3 0

Answer:

y=-5/3(x-3)³-4

Step-by-step explanation:

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E(t) =\int 12000(t + 9)^{\frac{-3}{2}}dt

E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+c

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\lim_{t \to \infty} E(t)=-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000

\lim_{t \to \infty} E(t)=10,000

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