Answer:
how many numbers have absolute value 3? zero is your answer
how many numbers have absolute value a, if a>0? your answer is also zero
Step-by-step explanation:
A "roster" here is essentially a version of the set with all of elements listed out. Here, those elements are all of the odd numbers between 20 and 30, so our list would be
{21, 23, 25, 27, 29}
Answer:
or 
Step-by-step explanation:
step 1
Find the volume of the rectangular prism
we know that
The volume of a rectangular prism is

In this problem we have



substitute in the formula

step 2
Find the difference between the volume of the prism and the volume of the storage container


Q1. The answer is 4(2x - 3)(2x + 1)
16x² – 16x – 12 = 4 * 4x² - 4 * 4x - 4 * 3 =
= 4(4x² - 4x - 3) =
= 4(4x² + 2x - 6x - 3) =
= 4(2x * 2x + 2x - (2x * 3 + 3)) =
= 4(2x(2x + 1) - (3(2x + 1))) =
= 4((2x + 1)(2x - 3)) =
= 4(2x - 3)(2x + 1)
Q2. The answer is 3(x + 8)(x - 1)
3x² + 21x – 24 = 3 * x² + 3 * 7x - 3 * 8 =
= 3(x² + 7x - 8) =
= 3(x *x - x + 8x - 8) =
= 3((x(x - 1) + 8(x - 1)) =
= 3(x + 8)(x - 1)
Answer:
B
Step-by-step explanation:
Given inequality is open at - 3 and closed at 4. Therefore the required inequality would be:

Thus, option B is the correct answer.