Answer:
It is 8n, because there is no greater term that is the factor of both 32n2 and 56n.
Step-by-step explanation:
The greatest common factor of the two expression is the term 8n.
It is the highest factor of both expressions that will divide them.
Given:
32n² 56n
Factor them:
2n(16n 28)
4n(8n 14)
8n(4n 7n) - Beyond this, no common factor can divide them both.
Therefore 8n is the greatest common factor of the two.
Answer:
4/10 or 2/5
Step-by-step explanation:
9/10-1/2 = 9/10-5/10 = 4/10 = 2/5
Answer:
Step-by-step explanation:
Answer: f(x) = 4 if -1 ≤x ≤ 1
f(x) = x - 1 if 3≤ x ≤ 5
Step-by-step explanation:
if -1 ≤x ≤ 1
We can see that in this range the function is constant, f(x) = 4
if 3≤ x ≤ 5
In this region we can see a linear relationship, with the points (3, 2) and (5, 4)
as the extremes, we can find the slope of this linear equation as:
s = (4 - 2)/(5 - 3) = 2/2 = 1
So our equation is
f(x) = 1*x + b
to find the value of b we can evaluate our function in the first point, we know that when x = 3, y = 2, so we have:
2 = 1*3 + b
b = 2- 3 = -1
then f(x) = 1*x - 1
Then we have:
f(x) = 4 if -1 ≤x ≤ 1
f(x) = x - 1 if 3≤ x ≤ 5
This is what is called a literal equation. Solve it for m just like you would solve any equation for x. Isolate the term with the variable you're looking for. Do this by subtracting 4cm from both sides to give you g - 4cm = -3m. Now we need to divide by -3 to get m alone:
. Or we could lose the negative on the 3 in the denominator like this:
and
. There you go! Any one of those last three would work. It just depends upon how your teacher wants you to express your answer.
