Answer:
please give more information!
Step-by-step explanation:
Answer:
A. 1/4
Step-by-step explanation:
We know that before the 1st bounce, the height of the ball is 512 inches.
Say the fraction is x.
Then, after the first bounce, the height of the ball is 512 * x = 512x.
After the second bounce, the height is now x * 512x = 512x².
By similar reasoning, the height after the third bounce is 512x³ and after the fourth bounce, it is
.
We also know that after the fourth bounce, the height is 2 inches. So, set 2 equal to
:
2 = 
Divide both sides by 512:


Take the fourth root of both sides:
![x=\sqrt[4]{1/256} =1/4](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B4%5D%7B1%2F256%7D%20%3D1%2F4)
Hence, the answer is A.
<em>~ an aesthetics lover</em>
Answer:
So the top right answer choice (x - 10)² = 80 has the same solution as x² - 20x + 20 = 0
Step-by-step explanation:
Let's solve your equation step-by-step.
x² − 20x + 20 = 0
For this equation: a = 1, b = -20, c = 20
1x² + −20x + 20 = 0
Step 1: Use quadratic formula with a = 1, b = -20, c = 20.
x = −b ± √b² − 4ac / 2a
x = −(−20) ± √(−20)² − 4(1)(20) / 2(1)
x = 20 ± √320 / 2
x = 10 + 4√5 or x = 10 − 4√5
Let's try the top right answer choice
(x−10)² = 80
Step 1: Simplify both sides of the equation.
x² − 20x + 100 = 80
Step 2: Subtract 80 from both sides.
x² − 20x + 100 − 80 = 80 − 80
x² − 20x + 20 = 0
For this equation: a = 1, b = -20, c = 20
1x² + −20x + 20 = 0
Step 3: Use quadratic formula with a = 1, b = -20, c = 20.
x = −b ± √b² − 4ac / 2a
x = −(−20) ± √(−20)² − 4(1)(20) / 2(1)
x = 20 ± √320 / 2
x = 10 + 4√5 or x = 10 − 4√5