Mathematics, 05.10.2019 22:00 boofpack9775

(5ab - 10b ^2 + 15bc) ÷ 5b

a + 2b - 3c
a - 2b + 3c
a - 2b - 3c

Answers: 1

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Answers

The correct answer is: [B]: " a - 2b + 3c " .

We have a "numerator"; which is: " (5ab - 10b ^2 + 15bc)" ; and
               a "denominator" ; which is: "5b" ;

Note: The denominator cannot equal "0" (zero) ; since one cannot divide by "0"; as such, "5b ≠ 0" ; and as such: "b ≠ 0" ;

We can factor a "5b" out of the numerator, and then "cancel out" that "5b" in the numerator" with that "5b" in the "denominator"; to "1" ; since "5b" divided by "5b" = 1; (since anything divided by that same value equals "1"; and then eliminate the denominator, which is "1"; since the numerator, divided by "1", is: "the numerator" (since anything divided by "1" equals that same value.

So, given the numerator: "(5ab - 10b² + 15bc)" ;

→ Factor out a "5b" ;

→ 5b (a - 2b + 3c) ; and rewrite the expression as:

→ {5b (a - 2b + 3c) } / {5b} ; Then cancel out the "5b" in both the numerator and the denominator;

→ and we are left with: " a - 2b + 3c " ; which is: Answer choice: [B].

Answer from: Quest

2x^2 -2x -12 = 02(x -3)(x +2) = 0see below for explanation

step-by-step explanation:

equation

you are asked to write the equation

expression = 0

using the given expression. when you do that, you have

2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

(x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

-6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

x - 3 = 0

x = 3 . . . add 3 to both sides of the equation

x +2 = 0

x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

Answer from: Quest

do you mean add both of the equations together

because if you do the answer is 10x-5

step-by-step explanation:

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(5ab - 10b ^2 + 15bc) ÷ 5b

a + 2b - 3c
a - 2b + 3c
a - 2b - 3c...

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