3 years ago

Suppose that F(x) = x3 and G(x) = -4x3-5. Which statement best compares the graph of G(x) with the graph of F(x)?

Mathematics

1 answer:

lara31 [8.8K]3 years ago

5 0

Answer:

Answer is B

Step-by-step explanation:

F(x) is first stretched by factor 4 from '4x³';

It is then reflected in the x-axis, since it is '-4x³';

Lastly, it is shifted down 5 units, because of the '-5'.

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lyudmila [28]

Answer:

$h_g=-g^2+7g+1\\\\h_1=7\\\\h_2=11\\\\h_3=13\\\\h_4=13$

Step-by-step explanation:

Given the rate of filling is $5g^2+3g-2$ and the rate of emptying the pool is $6g^2-4g-3$ . The height of the pool at any time is:

$h_t=R_{in}-R_{out}, h_t- \ height \ at\ time\ t\\\\h_t=(5g^2+3g-2)-(6g^2-4g-3)\\\\h_t=-g^2+7g+1$

#Substitute the value of g in the height equation to find the height of the pool:

#g=1

$h_t=-g^2+7g+1, \ g=1\\\\h_t=-(1)^2+7(1)+1\\\\=7$

#g=2

$h_t=-g^2+7g+1, \ g=1\\\\h_t=-(2)^2+7(2)+1\\\\=11$

#g=3

$h_t=-g^2+7g+1, \ g=1\\\\h_t=-(3)^2+7(3)+1\\\\=13$

#g=4

$h_t=-g^2+7g+1, \ g=1\\\\h_t=-(4)^2+7(4)+1\\\\=13$

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