Graph the equation y = -x2 + 5x + 24. How do the values of x = 8 and x = -3 on the graph relate to this situation? Find the width of the archway.

The values of x = 8 and x = -3 are the x-intercepts of this equation. The width of the archway is 11 units.

Step-by-step explanation:

Let be , which is now graphed with the help of a graphing tool, the outcome is included below as attachment. The values of x = 8 and x = -3 are the x-intercepts of this equation, that is, values of x such that y is equal to zero. Algebraically speaking, both are roots of the second-order polynomial.

The width of the archway () is the distance between both intercepts, which is obtained by the following calculation:

, where .

If and , then:

The width of the archway is 11 units.

6 1/4 cubic inches

Step-by-step explanation:

Remember V=l*w*h

So you would multiply 1/2 3 times into itself you would get 1/8

Next you would multiply 50*1/8 which is 6.25

Which would convert into 6 1/4 cubic inches

So therefore 6 1/4 is your answer