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frutty [35]
2 years ago
9

Is the function in this table linear or nonlinear and why?

Mathematics
1 answer:
In-s [12.5K]2 years ago
8 0
The function in the table is nonlinear because they plugged the same number into the equation twice.
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Complementary angles add up to 90 degrees.
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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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Answer:

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