Answer:
-16p³ + 48p² - 16p
Explanation:
In order to simplify the given expression, we need to multiplied 8p with (-2p²+6p-2)
8p*(-2p²+6p-2)
we need to distribute 8p over the brackets or parenthesis.
=8p*(-2p²) + 8p*(6p) + 8p*(-2)
= 8*(-2)*p*p² + 8*6p*p + 8*(-2)* p
= -16p³ + 48p² - 16p
We can't simplify it more, so that's the final answer.
I hope it's help.
Hey there!
Let's first find an easier situation.
If we're saying:
How many fives are in ten?
We're doing 10 divided by 5, because we're seeing how many 5's go into 10.
It's no different here.
We will be doing 6 divided by 3/4, just as we did with our simpler situation.
Using our "keep, switch, flip" rule (keep first term, change to multiplication, take reciprocal of second term)
we get:
6 divided by 3/4
=
6 * 4/3
= 24/3
= 8 3/4's in 6.
Hope this helps!
Answer: a) H = h( 0.5 )^n
b) H = 1.125inches
Step-by-step explanation:
Let H = height of the ball
n = number of time the ball bounces
h = initial height.
The exponential function to model the height of the ball will be:
H = h( 1 - 0.5)^n
H = h( 0.5 )^n
It's minus because the height of the ball is decreasing.
h = 36 inches
n = 5
H = 36( 1 - 0.5 ) ^5
H = 36( 0.5 )^5
H = 36 × 0.03125
H = 1.125inches
Answer:
x= -8
Step-by-step explanation:
2x+3x-12=8x+12
5x-12=8x+12
5x-8x=12+12
-3x=24
24/-3
x= -8
