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Firdavs [7]
4 years ago
11

Can someone please solve this for me and explain the steps? Thank you.

Mathematics
1 answer:
Lesechka [4]4 years ago
8 0
Answer:

-22

Steps:

Substitute 3 in for x in f(x);

f(3) = 3 - 1

f(3) = 2

Substitute 3 in for x in g(x);

g(3) = 3^2 - 5 * 3

g(3) = 9 - 15

g(3) = -6

Then multiply this by 4;

4g(3) = 4 * -6

4g(3) = -24

Then add these together;

2 + (-24) = -22
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The function y=−16x2+36 represents the height y (in feet) of an apple x seconds after falling from a tree. Find and interpret th
Lapatulllka [165]

Answer:

A. x-intercept=x=1.5 , y-intercept=y=36

B.the apple will hit the ground after x=1.5 seconds.

Step-by-step explanation:

A. X-intercept and Y-intercept:

X-intercept:

  • the point where the line passes through X-axis i.e. point where y=0

Y-intercept:

  • the point where the line passes through Y-axis i.e. point where x=0

Given Equation:

  • y=-16x^2+36

Finding X-intercept:

to find x-intercept, put y=0 in the given equation as

0=-16x^2+36\\

adding -16x^2 to both sides of the equation, we get

16x^2=36

dividing both sides by 16, we get

x^2=\frac{36}{16}\\x^2=2.25

taking√ on both sides of the equation, we get

x=\sqrt{2.25}\\ x=1.5

Finding Y-intercept:

to find y-intercept, put x=0 in the given equation

y=-16(0)^2+36\\y=36

thus x-intercept=x=1.5

and y-intercept=y=36

B.when will the apple hit the ground after x seconds?

In the given equation if x represent the time in seconds then y represents the height of the tree from which the apple is fallen down

so if the apple hits the ground, at this stage the height is zero so y=0, thus we get x as

0=-16x^2+36\\

dividing both sides by 16, we get

x^2=\frac{36}{16}\\x^2=2.25

taking√ on both sides of the equation, we get

x=\sqrt{2.25}\\ x=1.5

the apple will hit the ground after x=1.5 seconds.

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It’s operations on functions
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Answer:

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Step-by-step explanation:

because my uncle helped and hes pretty smart

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If you mean the difference it'd be 35
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Answer:

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Step-by-step explanation:

Circumference=πd=π·40≈125.66371 mm

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If the lengths of the two legs of a right triangle are 12 and 16, what's the length of the hypotenuse?
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