<u>Answer</u>
y⁻¹ = ∛(4x+8)
<u>Explanation</u>
y=(1/4)x³ - 2.
To find the inverse of this equation, you first make x the subject of the formular.
y=(1/4)x³ - 2
Multiply both sides by 4;
4y = x³ - 8
Add 8 on both sides of the equation;
4y + 8 = x³
x³ = 4y + 8
Apply the cube root on both sides to get the value of x;
x = ∛(4y+8)
The inverse of y=(1/4)x³ - 2 is;
y⁻¹ = ∛(4x+8)
Answer:
The answer to your question is: ≈ 178 balls
Step-by-step explanation:
Data
rectangular prism = 8 in x 11 in x 5 in
golf balls = 1.68 in diameter
Formula
Volume rectangular prism = l x w x h = 8 x 11 x 5 = 440 in³
Volume of ball = (4/3) πr³ = (4/3) (3.1416) (0.84)³ = 2.48 in³
# of balls inside the compartment = volume rectangular prism / volume ball
# of balls = 440 / 2.48
= 177.4 ≈ 178 balls
Answer is 0.31. Hope this helps.
