Answer:
x^3-6x^2-10x+100
Step-by-step explanation:
Step 1: Distribute x to (x²-6x+20).
x(x²-6x+20)=x^3-6x^2+20x
Step 2: Distribute 5 to (x²-6x+20).
5(x² − 6x + 20)=5x²-30x+100
Step 3: Combine x^3-6x^2+20x and 5x²-30x+100.
x^3-6x^2-10x+100
hope it helps you <3
Answer:
=
10
−
2
7
-
3
Step-by-step explanation:
Answer: The average rate of change is 6.First, plug in each value of <em>t</em> into the function, v(t) to find there coordinate pairs.
v(2) = (2)^2 - (2) + 10
v(2) = 4 + 8
v(2) = 12
v(5) = (5)^2 - (5) + 10
v(5) = 25 + 5
v(5) = 30
You can write these values as coordinate pairs, like so: (2, 12) and (5, 30).
The formula for the average rate of change is

. When you plug in the values from this particular case, the average rate of change formula becomes

, or

.
Looking at the equation, you can solve for the average rate of change between t = 2 and t = 5, which equals
6.
The total number of kids:
8+24 = 32
the ratio is 24:32
it simplifies into 3:4