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ludmilkaskok [199]
4 years ago
15

(4ab - 8a 2 + 12ac) ÷ 4a Find the quotient. a) b - 2a2 + 3c b) b - 2a + 3c c) abc

Mathematics
2 answers:
Svetllana [295]4 years ago
6 0

Answer:

b) b - 2a + 3c

Step-by-step explanation:

The given expression is \frac{4ab - 8a^2 +12ac}{4a}

Let's factor out the numerator expression 4ab -8a^2 +12ab

Here 4a is a greatest common factor. So we can take it out and write the remaining terms in the parenthesis.

4ab -8a^2 +12ac = 4a(b -2a + 3c)

The given expression can be written as

\frac{(4a)(b-2a +3c) }{4a}

We can cancel out 4a both in the numerator and in the denominator, we get

b - 2a + 3c

frozen [14]4 years ago
3 0
The correct answer would be B
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20

Step-by-step explanation:

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Complete the square x​^2​​+2x+1
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(x+1)^2

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8 0
3 years ago
Brainliest to first correct Answer!
zhannawk [14.2K]
First you need to find the slope, which is (y2-y1)/(x2-x1)
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Plug in the slope (m) and the first point
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To get standard form (ax+by=c), you can use point slope form

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4 0
4 years ago
Find the zeros of y = x2 – 6x – 4 by completing the square.
katrin [286]

Answer:

The solutions to the quadratic equations are:

x=\sqrt{13}+3,\:x=-\sqrt{13}+3

Step-by-step explanation:

Given the function

y\:=\:x^2\:-\:6x\:-\:4

substitute y = 0 in the equation to determine the zeros

0\:=\:x^2\:-\:6x\:-\:4

Switch sides

x^2-6x-4=0

Add 4 to both sides

x^2-6x-4+4=0+4

Simplify

x^2-6x=4

Rewrite in the form (x+a)² = b

But, in order to rewrite in the form x²+2ax+a²

Solve for 'a'

2ax = -6x

a = -3

so add a² = (-3)² to both sides

x^2-6x+\left(-3\right)^2=4+\left(-3\right)^2

x^2-6x+\left(-3\right)^2=13

Apply perfect square formula:  (a-b)² = a²-2ab+b²

\left(x-3\right)^2=13

\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}

solve

x-3=\sqrt{13}

Add 3 to both sides

x-3+3=\sqrt{13}+3

Simplify

x=\sqrt{13}+3

now solving

x-3=-\sqrt{13}

Add 3 to both sides

x-3+3=-\sqrt{13}+3

Simplify

x=-\sqrt{13}+3

Thus, the solutions to the quadratic equations are:

x=\sqrt{13}+3,\:x=-\sqrt{13}+3

4 0
3 years ago
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