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3 years ago

What is the GCF of the expression a2b2c2 + a2bc2 - a2b2c

Mathematics

1 answer:

LenaWriter [7]3 years ago

5 0

Answer:

a^2bc

Step-by-step explanation:

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NO LINKS!! Use the method of substitution to solve the system. (If there's no solution, enter no solution). Part 11z

Roman55 [17]

Answer:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

Step-by-step explanation:

Given system of equations:

$\begin{cases}y=x^2-9\\y=4x-4\end{cases}$

To solve by the method of substitution, substitute the first equation into the second equation and rearrange so that the equation equals zero:

$\begin{aligned}x^2-9&=4x-4\\x^2-4x-9&=-4\\x^2-4x-5&=0\end{aligned}$

Factor the quadratic:

$\begin{aligned}x^2-4x-5&=0\\x^2-5x+x-5&=0\\x(x-5)+1(x-5)&=0\\(x+1)(x-5)&=0\end{aligned}$

Apply the zero-product property and solve for x:

$\implies x+1=0 \implies x=-1$

$\implies x-5=0 \implies x=5$

Substitute the found values of x into the second equation and solve for y:

$\begin{aligned}x=-1 \implies y&=4(-1)-4\\y&=-4-4\\y&=-8\end{aligned}$

$\begin{aligned}x=5 \implies y&=4(5)-4\\y&=20-4\\y&=16\end{aligned}$

Therefore, the solutions are:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

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Ganezh [65]

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If U-235 has a half-life of 713 million years and the age of the sample is 2.631 billion years old then how many half-lifes has

lutik1710 [3]

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The distribution of the heights of students in a large class is roughly Normal. Moreover, the mean height is 68 inches, and appr

Thepotemich [5.8K]

Answer:

Probably equal to 6 or 7.

Step-by-step explanation:

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3 years ago

Find an equation for the line through (-7,7) and parallel to y=2x-3

kaheart [24]

The answer would be B because a line is a parallel as long as the mx remains the same

Hope this helped.

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