Answer:
x^2 -x -2 = (x -2)(x +1)
Step-by-step explanation:
To factor x^2 -x -2, you look for factors of -2 that have a sum of -1:
-2 = (-1)(2) = (1)(-2) . . . . . the latter pair has a sum of -1
Then these are the constants in the binomial factors:
x^2 -x -2 = (x +1)(x -2)
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<em>Comment on the question</em>
The fact that x^2 +3x -4 is modeled with algebra tiles seems to be irrelevant to the question that is actually asked.
Answer:
1/3 / 1/6 272 Part A: Create a story or context for this number sentence.
Step-by-step explanation:
Answer:

Step-by-step explanation:
1) Convert
to improper fraction. Use this rule:
.

2) Simplify 4 * 3 to 12.

3) Simplify 12 + 1 to 13.

4) Convert
to improper fraction. Use this rule:
.

5) Simplify 1 * 3 to 3.

6) Simplify 3 + 2 to 5.

7) Join the denominators.

8) Simplify.

9) Convert to mixed fraction.

(Decimal Form: 2.666667)
Thank you,
Eddie
The answer is: " 128 oz. " .
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There are: " 128 oz. " (in " 8 lbs." ) .
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Explanation:
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Set up a proportion; as a fraction; as follows:
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400/ 25 = x / 8 ;
in which: "x" = the number of "ounces [oz.] there are in "8 lbs." ;
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We shall solve for "x" , the answer to the problem:
Cross-factor multiply:
25x = (400) * 8 ;
→ 25x = 3200 ;
Divide each side of the equation by "25" ; to isolate "x" on one side of the equation; & to solve for "x" ;
→ 25x / 25 = 3200 / 25 ;
→ x = 128 .
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Answer: " 128 oz. " .
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There are: " 128 oz. " (in " 8 lbs." ) .
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Note of interest: " 16 oz. = 1 lb. " (exact conversion).
So; "8 lbs. <span>= ?</span> oz. " ;
→ " 8 lbs. * (16 oz/ 1 lb) = ( 8 * 16) oz. = 128 oz. ; → which is our answer!
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<span>Break down every term into prime factors. ...Look for factors that appear in every single term to determine the GCF. ...Factor the GCF out from every term in front of parentheses, and leave the remnants inside the parentheses. ...<span>Multiply out to simplify each term. </span></span>