David drove 20 miles in 5 mins. Sean drove 45 miles in 9 mins. Who drove at a faster rate? Explain.

1 answer:

6 0

Sean drove at a faster rate because if you divide each miles/minutes then it gives you how many miles per minute they drive. 20/5 is 4, and 45/9 is 5, and 5 is greater than 4.

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A ball is dropped from a height of 64 feet. Its height, in feet, can be modeled by the function h(t) = -167 + 64, where t is the

Oliga [24]

Answer:

Step-by-step explanation:

Known facts:

the ball dropped from a height of 64 feet
function $h(t) = -16t^{2} + 64$

First question:

the ball hits the ground when h(t) = 0, thus we get the equation

$-16t^{2} +64 = 0\\16t^{2} = 64\\t^{2} =4\\t = 2$

So the ball hits the ground in 2s

Second question

to find how long it takes the ball to fall 36 feet, we must set h(t) = 64 - 36 = 28

$-16t^{2} +64 = 28\\16t^{2} = 36\\t = \frac{6}{4} =1.5s$

So the ball hits the ground in 1.5s

Hope that helps!

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2 years ago

39/360 in simplest form

Sergeeva-Olga [200]

Answer:

$= \frac{13}{120}$

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2 years ago

53 pts!! The function f(x)= 7^x+1 is transformed to function g through a horizontal compression by a factor of 3. What is the eq

e-lub [12.9K]

The value of k will be 3 if the function is transformed by compression factor of 3

Step-by-step explanation:

The horizontal stretch or compression for a function f(x) is given by g = f(bx) where b is a constant. If b> 0 then the graph of function is compressed.

As it is given in the question that he function is transformed by a compression factor of 3.

Given function

$f(x) = 7^x+1\\To\ transform\\g = f(bx)\\g = 7^{3x}+1$