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4 years ago

Simplify 4x2 + 8x - 11x + 6 - 5x2 + 2

Mathematics

1 answer:

Butoxors [25]4 years ago

3 0

Answer:

$\boxed{\bold{-5x+8}}$

Step-by-step explanation:

Combine Similar Elements: $\bold{8x-11x=-3x}$

$\bold{4\cdot \:2x-3x+6-5\cdot \:2x+2}$

Multiply: $\bold{4\cdot \:2=8}$

$\bold{8x-3x+6-10x+2}$

Group Like Terms

$\bold{8x-3x-10x+6+2}$

Combine Similar Elements: $\bold{8x-3x-10x=-5x}$

$\bold{-5x+6+2}$

Add Numbers: $\bold{6+2=8}$

$\bold{-5x+8}$

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PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!

aivan3 [116]

Hello and Good Morning/Afternoon

Let's take this problem step-by-step:

To find the solution to a system of equation

⇒ must set the equations equal to each other

⇒ and solve

Let's put that into action

$x^2-2x+3 = -2x + 12\\x^2-2x+2x+3-12=0\\x^2-9=0\\(x+3)(x-3)=0$

At this point, to make the whole thing equal zero

⇒ either 'x+3' or 'x-3' equals zero

⇒ must find 'x' that satisify either equation

$x-3=0\\x=3\\\\x+3=0\\x=-3$

Let's find the corresponding f(x) to each x-value

$f(3) = -2(3)+12=-6+12 = 6\\\\f(-3) = -2(-3) + 12=6+12=18$

Therefore the solutions are (3,6) and (-3,18)

Answer: (3,6), (-3,18)

Hope that helps!

#LearnwithBrainly

3 0

2 years ago

Write an equation in slope intercept form for a line that passed through the two points below (-4,7), (8,1)

vichka [17]

Y= -1/2x + 5
Good luck!!!!

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3 years ago

A line passes through the points (–3, –4) and (6, 2). What number is the x-intercept?

LuckyWell [14K]

Answer:

Step-by-step explanation:

$\bold{METHOD\ 1}$

$\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{x-intercept:}\ (x,\ 0).\\\\\text{Susbtitute the coordinates of the points to the formula of a slope}\\\\(-3,\ -4),\ (6,\ 2),\ (x,\ 0):\\\\m=\dfrac{2-(-4)}{6-(-3)}=\dfrac{2+4}{6+3}=\dfrac{6}{9}=\dfrac{6:3}{9:3}=\dfrac{2}{3}\\\\m=\dfrac{0-2}{x-6}=\dfrac{-2}{x-6}\\\\\text{Therefore we have the equation:}\\\\\dfrac{-2}{x-6}=\dfrac{2}{3}\qquad\text{cross multiply}\\\\2(x-6)=(-2)(3)\\\\2(x-6)=-6\qquad\text{divide both sides by 2}\\\\x-6=-3\qquad\text{add 6 to both sides}\\\\x=3$