Answer:
2h + 15
Step-by-step explanation:
-4h + 22 + 6h -7
2h + 22 - 7
2h + 15
There are 27 & 1/3 pencils in each box. Each student will get 3 pencils per year. There will be 16 pencils left over.
Answer:
1.049
Step-by-step explanation:
Divide 103 into 108
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:
y = (3/4)x + 2
Step-by-step explanation:
Slope-intercept form is y=mx+b where (x, y) is a point on the linear graph, m is the slope (rise/run), and b is the y-intercept (the y-value at which the graph passes through the y-axis).
Looking at the graph, we can see that the point at which the line crosses the y-axis is (0, 2) which makes it the y-intercept. Thus, the b in the slope-intercept form is 2.
Next, we are looking for the slope of the line. To do this, we can calculate the rise/run of the line by choosing to points on it. Since we already have the point (0, 2), we just need one more.
For example, the point (-4, -1) can be used. The slope can be found by ((y-y)/(x-x)) in which the first y and x values correspond with the first point and that of the second correspond with the second set. So in this case, m = (2-(-1))/(0-(-4)) = 3/4
Plugging in the calculated m and b value in the slope intercept equation, we get y = (3/4)x + 2