Answer:
3
- 48
Step-by-step explanation:
Given
(a + 2)(3a² + 12)(a - 2)
= (a + 2)(a - 2)(3a² + 12) ← expand the first pair of parenthesis using FOIL
=(a² - 4)(3a² + 12) ← expand using FOIL
= 3 + 12a² - 12a² - 48 ← collect like terms
= 3 - 48
Answer:
a < 16
Step-by-step explanation:
Your picture shows the first step: use the distributive property to eliminate parentheses.
5*7 -5*x = 2*x -3
Now, you have an equation with a constant and an x-term on each side. I like to pick the x-term with the smallest (most-negative) coefficient and add its opposite to the equation.
Adding 5x, we have
35 = 7x -3
Adding 3 will get the x-term on one side and the constant on the other
38 = 7x
Now, we divide by the coefficient of x
38/7 = x = 5 3/7
This is the correct answer, even though it is not an integer.
_____
Check
5(7 -(5 3/7)) = 2(5 3/7) -3 . . . . substitute for x in the original equation
5(1 4/7) = 10 6/7 -3 . . . . . . . . . evaluate the parentheses on the left, do the multiplication on the right
5 20/7 = 7 6/7 . . . . . . . . . . . . do the multiplicaton on the left, the subtraction on the right
5 +2 6/7 = 7 6/7 . . . . . . . . . . . rewrite 20/7, realize 5+2=7. true
Under the Blended Retirement System (BRS) and the Legal Retirement System or also known as the High 3 retirement system, a service member who completed at least 20 years of active military service are entitled to receive monthly retired pay.
Triangles are congruent if any pair of corresponding sides and their included angles are equal in bothtriangles. There are five ways to test that two triangles are congruent. This is one of them
