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Andrej [43]
3 years ago
15

Factor 4x 2 + 12x + 5 . (2x + 5)(2x + 1)

Mathematics
1 answer:
Juliette [100K]3 years ago
8 0
Factor
in form
ax²+bx+c form
use the ac method
1. mulitply a and c
2. factor the result such that the 2 factors add to b
3. split b into those 2 factors
4. group the terms
5. undistribute common factors
6. undistribute again





first multiply ac
4 times 5=20
now
what 2 numbers multiply to 20 and add to 12
2 and 10
4x²+2x+10x+5
group
(4x²+2x)+(10x+5)
undistribute
2x(2x+1)+5(2x+1)
undistribute the (2x+1)
(2x+1)(2x+5) is factored form whih you have there, nice
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Answer:

the graph that goes through the points

(0,3), (-4,0)

Step-by-step explanation:

make y the subject

3x-4y=-12

4y=3x+12

y=(3x+12)/4

now when x=0

y=12/4=3

so coordinates (0,3)

now when y=0

0=(3x+12)/4

by multplying both sides by 4

0=3x+12

0=3 (x+4)

divide both sides by 3

0=x+4

x=-4

so coordinates (-4,0)

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3 years ago
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Which represents the inverse of the function f(x) = 4x? h(x) = x + 4 h(x) = x – 4 h(x) = three-quartersx h(x) = one-quarterx
aalyn [17]

Answer:

\large\boxed{f^{-1}(x)=h(x)=\dfrac{1}{4}x}

Step-by-step explanation:

f(x)=4x\to y=4x\\\\\text{exchange}\ x\ \text{to}\ y\to x=4y\\\\\text{solve for}\ y:\\\\4y=x\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{x}{4}\\\\y=\dfrac{1}{4}x

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A triangle has sides of lengths 13, 21, and 24. is it a right triangle? explain
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Answer:

Step-by-step explanation:

1) 5

2) -3, which becomes 3

3) it would land at either 3, or -3

4) 7 or -7

5) if it is to the left, that means it is negative. there fore, your answer is -4

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