V-3/-10= -4 please answer step by step

A volleyball player serves the ball from a height of 6.5 feet above the ground with an initial vertical velocity of 21 feet per

Vaselesa [24]

Answer:

Option D. $H(t) = 6.5+21t-16t^2$

Step-by-step explanation:

we know that

If air resistance is ignored, the height h (in feet) of the ball t seconds after it is served is given by

$H(t) = - \frac{1}{2}g t^2 + V_0t + H_0$

where

g is the acceleration due to gravity which on earth is approximately equal to 32 feet / sec^2

V_0 is the initial velocity (when t = 0 )

H_0 is the initial height (when t = 0)

In this problem we have

$V_0=21\ ft/sec\\H_0=6.5\ ft$

substitute the given values

$H(t) = - \frac{1}{2}(32) t^2 + (21)t + 6.5$

$H(t) = -16t^2 + 21t + 6.5$

Rewrite

$H(t) = 6.5+21t-16t^2$

3 0

3 years ago

The table shows three values of x and their corresponding values of f (x) for a linear function f, such that f (r) = 0 and f (0)

Rus_ich [418]

Using a linear function, it is found that the product rs is rs = 81.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, when x changes by 68(from -64 to 68), y changes by -16(from 12 to -4), hence the slope is given by:

m = -16/64 = -0.25.

Hence:

y = -0.25x + b.

When x = 34, y = -4, hence this is used to find b.

-4 = -0.25(34) + b

b = 4.5.

Hence the function is:

y = -0.25x + 4.5.

f(r) = 0, hence:

-0.25x + 4.5 = 0

x = 4.5/0.25

x = 18

r = 18.

f (0) = s, hence s = 4.5.

Then the value of the product is:

rs = 18 x 4.5 = 81.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

7 0

1 year ago

A(3-x)=-2x+B if x=2 How do I find A and B what are the answers

irina1246 [14]

Answer:

$A=5,B=9\\\\or\ A=-9,B=-5$

Step-by-step explanation:

$A(3-x)=-2x+B\\\\Given\ x=2\\\\Substitute\ the\ value\ of\ x\\\\A(3-2)=-2\times 2+B\\\\A=-4+B\\\\A=B-4\\\\So\ the\ value\ of\ A\ is\ 4\ less\ than\ the\ value\ of\ B.\\\\When\ B=9\Rightarrow A=9-4=5\\\\When\ B=-5\Rightarrow B=-5-4=-9\\\\Hence\ A=5,B=9\\\\or\ A=-9,B=-5$