Answer:
- Answer 2) 3a(16a^2-25)
- Answer 4) 3a(4a+5)(4a-5)
- Answer 5) -3a(25-16a^2)
- Answer 6) -3a(5-4a)(5+4a)
Step-by-step explanation:
The factors of each term are ...
So, the greatest common factor is 3a. Factoring that out gives ...
3a(16a^2 -25) . . . . . . matches answer 2
The factor in parentheses is the difference of squares, so it can be factored. You have memorized the form for the difference of squares ...
p^2 -q^2 = (p -q)(p +q)
so you know the factoring of this with p=4a and q=5 will be ...
3a(4a -5)(4a +5) . . . . . . matches answer 4
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Any <em>pair</em> of factors can be multiplied by -1 without changing the value of the expression. So, two more answers are equivalent:
(-3a)(-(16a^2 -25) = -3a(25 -16a^2) . . . . . . matches answer 5
(-3a)(-(4a -5)(4a +5) = -3a(5 -4a)(5 +4a) . . . . . . matches answer 6
Answer:
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Step-by-step explanation:
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Answer: b = 7.5, c = 5.5.
Step-by-step explanation:Write the absolute value equations in the form |x - b|=c (where b is a number and c can be either number or an expression)
that have the following solution sets:
Two solutions: x=2, x=13.
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Answer. b = 7.5, c = 5.5.
Answer:
C = (18, 6)
Step-by-step explanation:
You have ...
AB : BC = 1 : 1/3 = 3 : 1
(B -A) / (C -B) = 3/1 . . . . . another way to write the distance relation
B -A = 3(C -B) . . . . . . . . . multiply by (C-B)
4B -A = 3C . . . . . . . . . . . add 3B
C = (4B -A)/3 . . . . . . . . . divide by 3 to get an expression for C
C = (4(14, 4) -(2, -2))/3 = (54, 18)/3
C = (18, 6)
A) piece rate: compensation based on a worker's quantitativeoutput or production, usually an agreed sum perarticle of work turned out.
