This is a timed quiz. Pls, help. 50 points. 6th-grade math.
2 answers:
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Answer:
Factoring the expression completely we get
Step-by-step explanation:
We need to factor the expression completely
We need to find common terms in the expression.
Looking at the expression, we get is common in both terms, so we can write:
So, taking out the common expression we get:
Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:
So, we get:
Therefor factoring the expression completely we get
<h3>Answer: Choice C</h3>
{x | x < -12 or x > -6}
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Explanation:
Let's solve the first inequality for x.
(-2/3)x > 8
-2x > 8*3
-2x > 24
x < 24/(-2)
x < -12
The inequality sign flips when we divide both sides by a negative value.
Let's do the same for the second inequality.
(-2/3)x < 4
-2x < 4*3
-2x < 12
x > 12/(-2)
x > -6
The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.
Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.