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2 years ago

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Evaluate the function over the domain {-2, -1, 0, 1, 2, 3}. As the values of the domain increase, do the values of the range inc

rease or decrease?
y= 3.5^x
when x= -2, y=_

1 answer:

coldgirl [10]2 years ago

8 0

Answer:

hhhhhhhjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

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Five million divided by fivethousand

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A teenager who is 5 feet tall throws an object into the air. The quadratic function LaTeX: f\left(x\right)=-16x^2+64x+5f ( x ) =

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Answer:

At approximately x = 0.08 and x = 3.92.

Step-by-step explanation:

The height of the ball is modeled by the function:

$f(x)=-16x^2+64x+5$

Where f(x) is the height after x seconds.

We want to determine the time(s) when the ball is 10 feet in the air.

Therefore, we will set the function equal to 10 and solve for x:

$10=-16x^2+64x+5$

Subtracting 10 from both sides:

$-16x^2+64x-5=0$

For simplicity, divide both sides by -1:

$16x^2-64x+5=0$

We will use the quadratic formula. In this case a = 16, b = -64, and c = 5. Therefore:

$\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Substitute:

$\displaystyle x=\frac{-(-64)\pm\sqrt{(-64)^2-4(16)(5)}}{2(16)}$

Evaluate:

$\displaystyle x=\frac{64\pm\sqrt{3776}}{32}$

Simplify the square root:

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Therefore:

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$\displaystyle x=\frac{8\pm\sqrt{59}}{4}$

Approximate:

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Therefore, the ball will reach a height of 10 feet at approximately x = 0.08 and x = 3.92.

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<span>6x^2 + 4x = 2x(3x + 2)

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