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2 years ago

Determine the equation of a Linear Function with a negative slope, goes through the point (0,5), and has a hole at x = -1

Mathematics

1 answer:

lesya692 [45]2 years ago

3 0

Answer:

$y=\frac{-x(x+1)}{x+1} +5$

Step-by-step explanation:

This function has a slope of -1, a hole at x = -1, and a y-intercept of 5

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In a video game, a bird is flung on a sling shot and follows a parabolic path. The path of the bird can be modeled by the equati

Novay_Z [31]

Answer:

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

Step-by-step explanation:

we have

$h=-16t^2+55t+4$

This is a vertical parabola open downward

The vertex represent a maximum

where

h is the height of the bird

t is the amount of time, in seconds, the bird had been in the air

For h=40 ft

substitute in the quadratic equation

$40=-16t^2+55t+4$

$-16t^2+55t+4-40=0$

$-16t^2+55t-36=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

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

in this problem we have

$-16t^2+55t-36=0$

$a=-16\\b=55\\c=-36$

substitute in the formula

$x=\frac{-55\pm\sqrt{55^{2}-4(-16)(-36)}} {2(-16)}$

$x=\frac{-55\pm\sqrt{721}} {-32}$

$x=\frac{-55+\sqrt{721}} {-32}=0.88\ sec$

$x=\frac{-55-\sqrt{721}} {-32}=2.56\ sec$

therefore

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

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3 years ago

. Kelton made punch for a school dance. He used 2 gallons of apple juice and 3 bottles of ginger ale to make enough to fill two

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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The answer would be 6

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