Answer:
x³ + 7x² - 6x - 72
Step-by-step explanation:
Given
(x + 6)(x + 4)(x - 3) ← expand the second and third factor, that is
(x + 4)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 3) + 4(x - 3) ← distribute both parenthesis
= x² - 3x + 4x - 12 ← collect like terms
= x² + x - 12
Now multiply this by (x + 6) in the same way
(x + 6)(x² + x - 12)
= x(x² + x - 12) + 6(x² + x - 12) ← distribute both parenthesis
= x³ + x² - 12x + 6x² + 6x - 72 ← collect like terms
= x³ + 7x² - 6x - 72
Simplified answer would be 60k^2+k
and you get that answer by combining like terms, Good Luck!
Answer:
B and D
Step-by-step explanation:
Take a look at all the options x=4, 3, 1, 2 > 0
So, we just care about the domain where x>0, which is
.
Then plug in x we will have the right answer.
Answer:
D. 15 by 10.5
Step-by-step explanation:
If the original painting has dimensions of 5 by 3.5, and has a scale factor of 1, then if we are trying to find the dimensions of the same thing but with a scale factor of 3, then we need to multiply the dimensions by 3.
5*3 = 15
3.5*3 = 10.5
The new dimensions are 15 by 10.5.
Hope this helps. Have a nice day.