Hi I am here to help the answer is 46-90
Sophie has factored the term completely while Carlos has not factored the term completely.
Step-by-step explanation:
We need to factor the trinomial:

Factoring:

So, the factored form of
is 
So, Sophie has factored the term completely. The terms are factored when we cannot further simplify it. Since Carlos factored (x+3)(-4x+2) 2 can be taken common from the term (-4x+2) so, it is not factored completely.
Keywords: Factoring the terms
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Answer:
g(x) has a greater average rate of change
Step-by-step explanation:
From the given information, the table is:
<u>x | g(x)</u>
-1 7
0 5
1 7
2 13
From this table, we have g(0)=5 and g(2)=13
The average rate of change over [a,b] of g(x) is given by: 
This implies that on the [0,2]. the average rate of change is:

Also, we have that: f(0)=-4 and f(2)=-1.
This means that the average rate of change of f(x) on [0,2] is

Hence g(x) has a greater average rate of change on [0,2]
Answer:
14 inches
Step-by-step explanation:
The volume of a rectangular prism is V=l*w*h
Given the info in the problem, we have:
840=l*10*6
840=60l
14=l
The length of the prism is therefore 14 inches because volume is length*width*height and since we already have the volume, height, and width, we need to get the variable for length by itself.
Answer: True
Step-by-step explanation: 5,708,100,000 in scientific notation is 5.7081 × 10^9
Hope this is right and makes sense.... I'm really sorry if it is wrong