Question

PLEASE ANSWER + BRAINLIEST !!!

The arch of the bridge is modeled by the equation y = -0.00092x^3 + 434, where y is the height above the water’s surface, in feet, and x is the distance from the middle of the bridge, in feet.

What is represented by an x-intercept in this situation?

A. the middle of the arch

B. the maximum height of the arch

C. the point where the arch of the bridge touches the ground

D. the maximum height of a sailboat that passes under the bridge

Answer 1

Answer: c

Step-by-step explanation:

step 1  look at the graph and find all three points of the bridge

step 2combine both x-intercepts

690+(-690)=o

step 3 plug points in for the varibles  y=-0.00092 x 0^3 +434

step 4 do the pemdas rule to simplafi the equation  y=-0.00092 x 0 + 434

step 5 solve for y y=434

step 6 check your answer by pluging the answer for y. (attachment below has the steps you take to check your answer)

Answer 2

Answer:

C.  the point where the arch of the bridge touches the ground

Step-by-step explanation:

Notice the x-intercept is by definition a point in the graph where y=0. Since in this model y represents the height of the arch of the bridge above the water's surface. Then if y=0 it means that the height of the arch of the bridge is 0 at those very points. In other words the arch is touching the ground (height 0) at those very points.