2 years ago

Which pair shows equivalent expressions?

Mathematics

1 answer:

maria [59]2 years ago

7 0

The equivalent expression is A

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2(a -3) + 4b - 2(a -b -3) + 5 A. 6b+5 B. 8b-2 C. 6b-5 D. No simplified answer

Bond [772]

Your answer is A. 6b+5

8 0

3 years ago

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Find S8 for the geometric series 3 + -6 + 12 + -24 +…

kirill115 [55]

I guess you are asking to find the sum of the first 8 terms. If so, then:
Sum = a₁(1-rⁿ)/(1-r), where a₁ is the 1st term, r=common ratio and n=number of terms:
the 1st term a₁ =3
common ratio r = - 2 (since -6/3 = - 2, and 12/-6 = - 2, etc.)

Sum = 3[(1- (-2)⁸]/(1-2) = 3(1- 256)/(1/2)
Sum = -1530

6 0

3 years ago

The product of two consecutive positive integers is 18 more than eight times the smaller number. Find the two numbers.

olga2289 [7]

Let , smallest integer is x.

So , other one is x + 1.

By , given conditions :

$x( x + 1 ) = 8x + 18\\\\x^2+x=8x+18\\\\x^2-7x-18=0\\\\x^2-9x+2x-18=0\\\\x(x-9)+2(x-9)=0\\\\x=-2 \ ,\ x = 9$