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Maksim231197 [3]
3 years ago
15

Simplify the expression and combine like terms.

Mathematics
1 answer:
Alenkinab [10]3 years ago
4 0

Answer:

5x + 16

Step-by-step explanation:

the first thing you do in this equation is to distribute the 2 into x + 6

you get

2x + 12 + 3x + 4 = ?

then you must put the 2x and the 3x together

5x + 12 + 4

and you can then add the 12 and 4

5x + 16

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1. What is the vertex form of the equation?
sergeinik [125]

1.vertex form is y=a(x-h)^2+k

to get into vertex form, complete the square

y=-x^2+12x-4

step 1: group x terms

y=(-x^2+12x)-4

step 2: factor coefient in front of x^2 term

y=-1(x^2-12x)-4

prep for next step: take 1/2 of linear (1st dgree term) and square it

\frac{-12}{2}=-6, (-6)^2=36

step 3: add positive and negative of that previous number inside the parenthasees

y=-1(x^2-12x+36-36)-4

factor perfect squaer trionmial

y=-1((x-6)^2-36)-4

take out that -36 by expansion

y=-1(x-6)^2+36-4

y=-1(x-6)^2+32



2. factor out the 2

2(x^2+8x+12)

what 2 numbers multiply to get 12 and add to get 8?

2 and 6

2(x+2)(x+6)


3.

for ax^2+bx+c=0

x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

in our case

x^2-7x-6=0

a=1, b=-7, c=-6

x=\frac{-(-7) \pm \sqrt{(-7)^2-4(1)(-6)}}{2(1)}

x=\frac{7 \pm \sqrt{73}}{2}

so x=\frac{7+\sqrt{73}}{2} and x=\frac{7-\sqrt{73}}{2}



4. remember that i=\sqrt{-1} so i^2=-1

treat i as a variable

(-2i)(8i)=

(-2)(i)(8)(i)=

(-2)(8)(i)(i)=

(-16)(i^2)=

(-16)(-1)=

[tex}16[/tex]

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3 years ago
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Answer:

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Step-by-step explanation:

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I also need help figuring this out - <br><br> 2x^2 -7x - 15
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x = ±√ 7.500 = ± 2.73861
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Which decimal is equivalent to<br> 5<br> - ?<br> 100<br> Math
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Answer:

Step-by-step explanation:

.05

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DBA

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