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Anuta_ua [19.1K]
3 years ago
7

Simplify the expression. x2 - 9 x2 + 4x + 3

Mathematics
1 answer:
anyanavicka [17]3 years ago
7 0

Answer:

x=23 mnjhbgftdswesdbnkmklnjhgcdtvybuinhvrdfuh

Step-by-step explanation:

c-op-outdcbh

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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]

8 0
3 years ago
Read 2 more answers
What are two fractions in between 3/5 and 4/5
lesya [120]
It seems there are not fractions between 3/5 and 4/5, but there are so many

for example, if you make denominator to 10 for both fractions, you will get 6/10 and 8/10
you can say 7/10 is in between 3/5 and 4/5

also, if you make denominator to 100 for both fractions, you will get 60/100 and 80/100
you can get 20 fractions between 3/5 and 4/5
8 0
4 years ago
(5 over 3 + 4 over 3) ×3 =​
Jet001 [13]

Answer:

3 is my answer

Step-by-step explanation:

dont have much bal to explain

7 0
3 years ago
If these two shapes are similar, what is the measure of the missing length w 20 in 15 in 12 in
Alexandra [31]

Answer:

Step-by-step explanation:

7 0
2 years ago
I need to know what is the circumference
Monica [59]

Answer:

94.2

Step-by-step explanation:

Circumference=2pir

2*3.14=6.28

6.28*15=94.2

7 0
3 years ago
Read 2 more answers
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