When there is a negative exponent, you switch the side of the fraction it's on. If the negative exponent is the numerator or a whole number, like 
or 
, you move the exponent and its coefficient to the bottom so that it's part of the denominator, and remove the negative.
= 
= 
If the exponent is on the bottom, or part of the denominator, like 
, we move it to the top and take out the negative.
= 
In our case, the expression is 
.
So, using our new knowledge of negative exponents, we can take the exponent and put it as a denominator.
= 
The answer would be the last answer.
hope this helps!
<span>100-6r=160-10r
Add 10r to both sides
100+4r=160
Subtract 100 from 160
4r=60
Divide 60 by 4
Final Answer: 15</span>
Answer:
c,d,f
Step-by-step explanation:
I hope these r the answers.
The height at t seconds after launch is
s(t) = - 16t² + V₀t
where V₀ = initial launch velocity.
Part a:
When s = 192 ft, and V₀ = 112 ft/s, then
-16t² + 112t = 192
16t² - 112t + 192 = 0
t² - 7t + 12 = 0
(t - 3)(t - 4) = 0
t = 3 s, or t = 4 s
The projectile reaches a height of 192 ft at 3 s on the way up, and at 4 s on the way down.
Part b:
When the projectile reaches the ground, s = 0.
Therefore
-16t² + 112t = 0
-16t(t - 7) = 0
t = 0 or t = 7 s
When t=0, the projectile is launched.
When t = 7 s, the projectile returns to the ground.
Answer: 7 s
