Answer:
4a^4·b^5
Step-by-step explanation:
The applicable rule of exponents is ...
(x^a)(x^b) = x^(a+b)
The commutative and associative properties of multiplication apply, so we can write the expression as ...
4·(a^3·a)·(b^2·b^3) = 4·a^(3+1)·b^(2+3) = 4·a^4·b^5
Answer: 2(7x + 3y + 4) [unsimplified] or 14x + 6y + 8 [simplified]
Step-by-step explanation: The perimeter of a parallelogram is 2 * (the two sides.)
Adding 5x + 4 and 2x + 3y, we get 7x + 3y + 4 by combining like terms in the x terms.
Now, we multiply by 2. This is 2(7x + 3y + 4) or 14x + 6y + 8
Answer:
D
Step-by-step explanation:
Associative property moves the parentheses, but the numbers stay in the same order.
Answer:
-3 < x ≤ 1
Step-by-step explanation:
To our left, we have an unshaded circle at -3. This means that -3 is included in the possible value of x. And as such, we can say -3 < x.
To our right, we have a shaded circle at 1. This means 1 is included in the possible values of x. And as such, we can say x ≤ 1.
Thus, we can represent the two statements as one, thus:
-3 < x ≤ 1