Answer:
(a)
Distance from player should be 13.82 feet or 36.2 feet
(b)
The ball will go over the net
Step-by-step explanation:
we are given
The ball follows a path given by the equation

where
x and y are measured in feet and the origin is on the court directly below where the player hits the ball
(a)
net height is 8 ft
so, we can set y=8
and then we can solve for x





we can use quadratic formula




So, distance from player should be 13.82 feet or 36.2 feet
(b)
we can plug x=30 and check whether y=8 ft


we know that
height of net is 8 ft
so, the ball will go over the net
5x-2y=3
-5x+4y=9
2y= 12
divide it by 2
y= 6
put y in any equation
5x-2 (6)=3
5x-12=3
5x= 3+12=15
divide by 5
x=3
y= 6
F(x) and g(x) were inverse functions, then if f(a) = b, then g(b) = a
f(x) = (5x+1) / x g(x) = x / (5x+1)
f(1) = 6, but g(6) = 6/31 ≠ 1
So, f(x) and g(x) are NOT inverse functions.
Let x = your number.
(x - 17) * -7 = -35. Divide each side by -7.
(x - 17) = 5. Add 17 to each side.
x = 22.
Your number is 22