Y=−0.04x2+0.32x+2.5
y
=
-
0
.
04
x
2
+
0
.
32
x
+
2
.
5
represents the path of an Olympic swimmer as he enters the pool. x
x
represents the distance, in feet, from the side of the pool and y
y
represents the height of the swimmer, in feet, above the pool. The side of the pool is represented by x=0

The swimmer enters the water about 12.86 feet from the side of the pool.

Step-by-step explanation:

The correct question is

The function y=−0.04x2+0.32x+2.5 represents the path of an Olympic swimmer as he enters the pool. x represents the distance, in feet, from the side of the pool and y represents the height of the swimmer, in feet, above the pool. The side of the pool is represented by x=0

Use the quadratic formula to determine how far from the side of the pool the swimmer enters the water.

we have

we know that

The formula to solve a quadratic equation of the form

is equal to

in this problem we have

Equate the quadratic equation to zero

so

substitute in the formula

therefore

The solution is x=12.86 ft

the least common denominator is 40

pooopoopopoopop

step-by-step explanati∵∵∴∴on: