Answer:
2m
Step-by-step explanation:
For m, I look for the greatest power of m that is in all of the expressions. Since the first has m^2, the second has m, and the third has m^4, the greatest power of m that is in all expressions is m.
For the number, I look for the greatest factor of 8, 4, and 10. A trick would be to look at the smallest number since the greatest common factor can only be less than or equal to the smallest number. So looking at 4, the factors are 1,2,4. 4 is not a common factor since it does not divide into 10, but 2 is so 2 is the greatest common numerical factor.
Combine 2 and m to get 2m.
Add like terms on the same side:
-10 + 8x = -56
Add ten to both sides
-10 + 8x + 10 = -56 +10
Simplify:
8x = -46
Divide both side by 8
8x/8 = -46/8
Simplify
x = - 5.75
The answer is x = -5.75
(The answer can also be written as -23/4 or -5 3/4)
To find the answer, subtract j(x) from g(x):
g(x) - j(x)
Plug in the expressions that each function is equal to:
(x^2 - 2x + 11) - (-x^3 - 4x^2 + 5)
Distribute the negative, get rid of parentheses:
x^2 - 2x + 11 + x^3 + 4x^2 - 5
Combine like terms:
x^3 + 5x^2 - 2x + 6
Answer:
2 < AB < 18
Step-by-step explanation:
