Factor by grouping. Group up the terms into pairs, factor each pair, then factor out the overall GCF.
x^3 + 2x^2 - 16x - 32
(x^3 + 2x^2) + (-16x-32) ... pair up terms
x^2(x + 2) + (-16x - 32) ... factor x^2 from the first group
x^2(x + 2) - 16(x + 2) ... factor -16 from the second group
(x^2 - 16)(x + 2) .... factor out (x+2)
(x - 4)(x + 4)(x + 2) .... Use the difference of squares to factor x^2-16
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The original expression completely factors to (x - 4)(x + 4)(x + 2)
The three factors are x - 4 and x + 4 and x + 2
The change in x between the two is 3 and the change in y is -9.
Divide -9 by 3 to get -3 using the rise over run slope formula.
The equation is y = -8 + -3x because the -8 in the second set of coordinates is the y-intercept of the equation.
Hope this helps!
Answer:
22 and 7
Step-by-step explanation:
Let x and y be the two numbers we are looking for:
The statement “their sum is 29” means x + y = 29
The statement “their difference is 15” means x - y = 15
we get this system:
x + y = 29 (1)
x - y = 15 (2)
Let’s solve it :
(1) + (2) ⇒ x + y + x - y = 29 + 15 ⇒ 2x = 44 ⇒ x = 44/2 = 22
Now we replace x by 22 in equation (1) :
22 + y = 29 ⇒ y = 29 - 22 = 7
The cost of safely disposing of the toxic chemicals is approximately five times what the company paid to purchase it.(Option D)
<h3>What is sentence correction?</h3>
Sentence correction or sentence improvement is a type of grammatical practice where a sentence is given with a word or a phrase that requires grammatical changes or improvement.
Now,
- Here, we are talking about "toxic chemicals", that is "plural" but in the Part D of the sentence, "it" refers to the singular chemical.
Hence, the correction needs to be made at Option D; the correction would be: "paid to purchase them."
To learn more about sentence correction, refer to the link: brainly.com/question/14632568
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