Reba kicks a soccer ball off the ground and in the air, with an initial velocity of 25 feet per second. Using formula H(t) = - 1612 + vt + s, what is the maximum height the soccer ball reaches?. Using the formula HC -1662 + vt +s, what is the maximum height the soccer ball reaches? ​

The maximum height the soccer ball reaches is 9.77 feet.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

It's vertex is the point

In which

Where

If a<0, the vertex is a maximum point, that is, the maximum value happens at , and it's value is .

Reba kicks a soccer ball off the ground and in the air, with an initial velocity of 25 feet per second.

The formula for the height is:

In which v(0) is the initial velocity and s(0) is the initial height.

Initial velocity of 25 feet per second means that

Kicked off the ground means that . So

Which is a quadratic equation with .

The maximum value is:

In which

The maximum height the soccer ball reaches is 9.77 feet.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

555.99.

step-by-step explanation:

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