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Mrac [35]
3 years ago
5

Factor. -9nm^2-90n^2+81n^3

Mathematics
1 answer:
cluponka [151]3 years ago
4 0
Find GCF:-

GCF of the  numbers = -9 

of terms in n GCF = n
 
GCF is -9n so factors are

-9n(m^2 + 10n - 9n^2)

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What are the solutions to the nonlinear system of equations below y=3x x^2+y^210
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Yanka [14]

Answer:

-33 and -21

Step-by-step explanation:

-36, <u>-33</u>, -30, -27, -24, <u>-21</u>, -18

-36

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Answer:

\large\boxed{f(x)=(x+1)^2-4}

Step-by-step explanation:

\text{The vertex form of a quadratic equation}\ f(x)=ax^2+bx+c:\\\\f(x)=a(x-h)^2+k\\\\(h,\ k)-\text{vertex}\\=====================================

\bold{METHOD\ 1:}\\\\\text{convert to the perfect square}\ (a+b)^2=a^2+2ab+b^2\qquad(*)\\\\f(x)=x^2+2x-3=\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-3\\\\f(x)=(x+1)^2-4\\==============================

\bold{METHOD\ 2:}\\\\\text{Use the formulas:}\ h=\dfrac{-b}{2a},\ k=f(k)\\\\f(x)=x^2+2x-3\to a=1,\ b=2,\ c=-3\\\\h=\dfrac{-2}{2(1)}=\dfrac{-2}{2}=-1\\\\k=f(-1)=(-1)^2+2(-1)-3=1-2-3=-4\\\\f(x)=(x-(-1))^2-4=(x+1)^2-4

4 0
3 years ago
2y-3[3-4(y-5)+2(1-3y)]
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Answer:

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Step-by-step explanation:

2y-3[3-4(y-5)+2(1-3y)]

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= 2y - 75 - 30y

= - 75 - 32y

Brainliest???

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3 years ago
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