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3 years ago

Explain why this relationship is not proportional

Mathematics

1 answer:

murzikaleks [220]3 years ago

6 0

Bc its not equal it needs to be equal

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Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a f

Dima020 [189]

Answer:

The maximum height the ball reaches is 64 feet

Step-by-step explanation:

The given function is f(x) = -16·(x - 2)² + 64

From the equation, the path described by the ball is an inverted n-shaped parabola

The maximum height is therefore, the tip of the parabola

At the maximum height, the slope = 0 because the tip is momentarily flat

Since the slope (y₂ - y₁)/(x₂ - x₁) = The derivative Δy/Δx, we find the derivative of the function and equate it to zero to find the coordinates at the maximum height

Δy/Δx = dy/dx = d(-16·(x - 2)² + 64)/dx = -32·(x - 2) = -32·x + 64

To check if it is a maximum, we have;

d²y/dx² = d(-32·x + 64)/dx = -32 which is negative, indicating that the slope is reducing and we at the maximum point of the slope

Therefore for the maximum height Δy/Δx = dy/dx = -32·x + 64 = 0

64 = 32·x

x = 64/32 = 2 seconds

We now have the x-value at the slope, the f(x) value, is therefore;

f(2) = -16·(2 - 2)² + 64 = 64 feet

Therefore, the maximum height the ball reaches is 64 feet.

3 0

3 years ago

On a separate sheet of paper, graph the function. In the answer box, describe the function.

Mumz [18]

Answer:

Step-by-step explanation:

Given piecewise function is,

f(x) = -5x + 2 If x < 2

2x - 2 If x ≥ 2

For f(x) = -5x + 2 If x < 2,

Graph of this piece will be a straight line with slope = -5 and y-intercept = 2

For f(x) = 2x - 2 If x ≥ 2,

Similarly, Graph of the second piece of the function will be a straight line with slope = 2 and y-intercept = -2.

By using the graphing tool we can draw the graph of the piecewise function given.

5 0

2 years ago

Kai has $315 in her bank account. She withdraws $65 for a new jacket and another $13 for lunch with her friends. She deposits $2

MissTica

Answer:

263

Step-by-step explanation:

take the start amount 315 and subtract 78 then add 26 which would amount to 263

5 0

3 years ago

Read 2 more answers

Subtract 2x 2 - 6x - 4<br> from 4x 2 - 4x + 3.

mafiozo [28]

X subtracted from y means y-x
(4x^2-4x+3)-(2x^2-6x-4)
4x^2-4x+3-2x^2+6x+4
4x^2-2x^2-4x+6x+3+4=
2x^2+2x+7

6 0

2 years ago

Find the value of T……

mezya [45]

The correct answer to that question is T = 12

3 0

2 years ago