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MAXImum [283]
3 years ago
8

Given f(x) =x-7 and g(x) =x2 find g(f(4))

Mathematics
1 answer:
8090 [49]3 years ago
5 0

Answer: g(f(4))=9

Step-by-step explanation:

To find g(f(4)), you first find f(4). Then, you plug it into g(x).

f(4)=4-7            [subtract]

f(4)=-3

Now, we know f(4) into g(x).

g(f(4))=(-3)²      [exponent]

g(f(4))=9

Now, we know that g(f(4))=9.

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Phil baked two kinds of pies. Each pie pan was the same size. He served 1/2 of the blueberry pie. He served 1/4 of the apple pie
s344n2d4d5 [400]
Phil served 2/8 of an apple pie because in order to have a common denominator, you need to multiply 1/4 by 2/2. 
Phil served 2 more pieces of blueberry than apple pie because 1/2(4/4) = 4/8, and 4/8 - 2/8 = 2/8.
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3 years ago
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A cylinder has a height of 4 inches greater than the radius of its base. Find the radius and the height to the nearest inch if t
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Answer:

h=5in, r=1in

Step-by-step explanation:

The volume of a cylinder is:

V=\pi*r^2*h

where r is the radius and h is the height.

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h=r+4in

Substituting this in the formula for volume:

V=\pi*r^2*(r+4)

the volume is V=5\pi in^3

thus:

5\pi in^3=\pi*r^2*(r+4in)

Dividing everything between pi:

5in^3=r^2*(r+4in)

5in^3=r^3*+4r^2

We can see that the solution for this is r=1in

since (1)^3*+4(1)^2=1+4=5

We have the radius, now we find the height:

h=r+4in=1in + 4in = 5in

h=5in, r=1in

7 0
3 years ago
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The height of a football during a punt is modeled by h=-16t^2+60t+3. If the football hits the ground, how long did it stay in th
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   a=-16   b=60  c=3

t = \frac{-b +/- \sqrt{b^{2}-4ac } }{2a}

t = \frac{-60 +/- \sqrt{60^{2}-4(-16)(3) } }{2(-16)}

t = \frac{-60 +/- \sqrt{3600 + 192} }{-32}

t = \frac{-60 +/- \sqrt{3792} }{-32}

t = \frac{-60 +/- 61.6}{-32}

t = \frac{-60 + 61.6}{-32}   or   t = \frac{-60 - 61.6}{-32}

t = \frac{1.6}{-32}        or     t = \frac{-121.6}{-32}

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Answer: 3.8 seconds


     

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3 years ago
At Emily's summer camp, there are
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Answer:

15

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