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2 years ago

The function f(x) = −16x2 + 112 models the height, in feet, of an

Mathematics

1 answer:

natima [27]2 years ago

3 0

For this, just plug in 1.5 into the x variable of this function and solve as such:

$f(1.5)=-16*1.5^2+112\\f(1.5)=-16*2.25+112\\f(1.5)=-36+112\\f(1.5)=76$

The height of the object was at 76 ft.

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Simplify the radical expression.

tresset_1 [31]

To simplify this fraction, multiply the entire fraction by the conjugate of the denominator. The conjugate of a square root and a number being added to it would be the number subtracted from the square root. In other words, the conjugate of $\sqrt{a} + b$ would be $\sqrt{a} - b$ .

Applying that information to our fraction shown here, the conjugate of the denominator would be $\sqrt{3} - 4$ . We will multiply both the numerator and denominator of our original fraction by this expression to obtain our answer, as shown below.

$\Big(\dfrac{1}{\sqrt{3} + 4}\Big)\Big(\dfrac{\sqrt{3} - 4}{\sqrt{3} - 4}\Big)$

$\dfrac{\sqrt{3} - 4}{3 - 16}$

$\dfrac{4 - \sqrt{3}}{13}$

Our answer is $\boxed{\dfrac{4 - \sqrt{3}}{13}}$ .

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2 years ago

Aaron and noah wanted to have a contest to see which of their paper airplanes could fly the longest distance. Aaron's plane flew

Marina CMI [18]

Aaron's plane flew 3.21 meters further than Noah's plane.

Explanation

Aaron's plane flew 4 meters and Noah's plane flew 79 centimeters.

So, first we need to convert 79 centimeters into meters.

We know that, 1 centimeter = 0.01 meter

So, 79 centimeters = $(0.01*79)meter= 0.79 meter$

Now, the difference of distance between Aaron's plane and Noah's plane is $(4-0.79) meters = 3.21 meters$

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3 years ago

if <img src="https://tex.z-dn.net/?f=h%28x%29%3D4x%5E%7B2%7D%20-16" id="TexFormula1" title="h(x)=4x^{2} -16" alt="h(x)=4x^{2} -1

Elan Coil [88]

Answer: h(x) = (2x - 14)^2 - 19

This will take the vertex from (0,-16), the original equation, to (7,-19), the new equation. This demonstrates the x-value increasing by 7, moving right on the coordinate plane, as well as the y-value decreasing by -3, going down on the coordinate plane.

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2 years ago

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IrinaVladis [17]

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2 years ago

Help number 3 plz !!!!!!!!!!!!!!!!

gregori [183]

D I hope this will help

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2 years ago

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