Answer:
Step-by-step explanation:
Quadratic equation: ax² + bx + c = 0, where a ≠ 0
x² + 9x - 22
Factors of c (-22):
1 × -22 or -1 × 22
2 × -11 or -2 × 11
Sum of factors:
1 + (-22) = -21 or -1 + 22 = 21
2 + (-11) = -9 or -2 + 11 = 9
Table:
Hope this helps!
Answer: 9 1/3 - 2/3 = 8 2/3 .
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Note: If the answer were "8 1/3" ;
then: "8 1/3 + 2/3 =? 9 1/3 ? "
→ "8 1/3 + 2/3 = 8 3/3 = 8 + 1 = 9 = only "9" ;
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So the answer has to be MORE than "8 1/3"
Try "8 2/3" → "8 2/3 + 2/3 =? 9 1/3?" ?? ;
→ "8 2/3 + 2/3 = 8 4/3 = 8 + 1 1/3 = 9 1/3 " → Yes!
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So, the answer is: "8 2/3" .
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Another method:
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Given the problem: "<span>9 1/3 - 2/3 " ;
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Note that: "2/3 = 1/3 + 1/3"
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So, "</span><span>9 1/3 - 2/3 = 9 1/3 - (1/3 + 1/3) = 9 1/3 - 1/3 - 1/3 = ?
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Start with: "</span>9 1/3 - 2/3" = 9. Then 9 - 1/3 = 8 3/3 - 1/3 = 8 2/3.
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</span>Another method:
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Given the problem:
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"9 1/3 - 2/3 = ?? " ;
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Convert "9 1/3" into "28/3" ; ("3*9 = 27"); ("27+1=28");
(The "3" comes from the "3" in the: "1/3" portion.)
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So, we rewrite as:
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28/3 - 2/3 = (28 - 2) / 3 = 26/3 ; or, 8 2/3 .
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Answer:
Tamara incorrectly factored the whole expression.
Step-by-step explanation:
Note that
- 21x=3·7·x;
- 56xy=2·2·2·7·x·y.
Mark in bold all common factors, then GCF(21x,56xy)=7·x=7x.
Thus,
21x+56xy=7x(3+8y).
Hence, Tamara correctly found the GCF of numbers 21 and 56, but incorrectly factored the whole expression.
B. four times the value of y = the value of y+9
