A bridge is sketched in the coordinate plane as a parabola represented by the equation h=40-0.01x2, where h refers to the height, in feet, of the bridge at a location of x feet from the middle of the bridge. The bridge starts and ends at the x-intercepts of the parabola. What is the length of this bridge?

The length of the bridge is 126.492 feet.

Step-by-step explanation:

Let , where is the position from the middle of the bridge, measured in feet, and is the height of the bridge at a location of x feet, measured in feet. In this case, the length of the bridge is represented by the distance between the x-intercepts of the parabola, which we now find by factorization:

(Eq. 1)

Given that the parabola is symmetrical with respect to y-axis, then the length is two times the magnitude of the value found above, that is:

The length of the bridge is 126.492 feet.

how am i supposed to answer

step-by-step explanation:

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3