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4 years ago

Factor the expression: 12x^2-16x

Mathematics

2 answers:

Helen [10]4 years ago

8 0

Answer:

4x(3x-4)

To check and see if you are right you would factor over and see if you got back the equation.

4x(3x)=12x^2 because the ^2 comes from the 2 x's.

4x(-4)=-16x

so you get your equation

Darya [45]4 years ago

3 0

Answer:

4x(3x-4)

Step-by-step explanation:

Basically, to factor something, you must take the GCF of both terms

In this case, you can factor out a number and a variable!

The greatest common factor between -16x and 12x^2 is 4x

So you extract that and put it outside the parenthesis.

it should look like this once its fully factored!

4x(3x-4)

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Answer: $\textsf{y = 5/7x + 51/7}$

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Given: $\textsf{Goes through (1, 8) and is parallel to y = 5/7x + 7}$

Find: $\textsf{Write an equation that follows that criteria}$

Solution: We know that our equation is going to parallel to the line that was given therefore the slope would stay the same at 5/7. We also have a point so we can plug in the values into the point-slope form, distribute, and solve for y.

Plug in the values

$\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}$

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Add 8 to both sides

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$\textsf{y = 5/7x - 5/7 + 8}$

$\textsf{y = 5/7x + 51/7}$

Therefore, the final equation that follows the description that was provided in the problem statement is y = 5/7x + 51/7.

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