Slope intercept equation

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Answer 1

Answer: Sorry I’m confused! Maybe....

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The area of a rectangle is 6x^3 – 30x^2. What is the length of the rectangle if the width is 2x(x – 5)?

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x^2 + 8x +15 is the area

x+5 is the length

x+3 is the width

(x+5)(x+3)=

x^2 + 3x +5x +15

x^2 +8x + 15

Hope this helped!!!!

So since the area of a rectangle is A=bh, we just need to form our equation off of that. Our equation will look like this: $l*2x(x-5)=6x^3-30x^2$

Firstly, divide both sides by 2x(x-5): $l=(6x^3-30x^2)/(2x(x-5))$

Next, factor 6x^3-30x^2: $l=(6x^2(x-5))/(2x(x-5))$

Next, cancel out (x-5): $l=(6x^2)/(2x)$

Next, expand 6x^2: $l=(3*2*x^2)/(2x)$

Next, divide and your answer will be: $l=3x$

Help i need help with this question.

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Umm where’s the question cause that’s just a picture

$297.89 with a 9.5% tax

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The exact answer is 326.18955. So about $316.19

How do you factor this polynomial expression?

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$9{ x }^( 2 )-25\n \n ={ 3 }^( 2 ){ x }^( 2 )-{ 5 }^( 2 )\n \n ={ \left( 3x \right) }^( 2 )-{ 5 }^( 2 )\n \n =\left( 3x+5 \right) \left( 3x-5 \right)$

Here's a rule that I learned from my algebra teacher almost 60 years ago.
It's so handy, and I use it so often, that it's still fresh in my mind, and even
though it's so old, it still works !

In fact, it's so useful that it would be a great item for you to memorize
and keep in your math tool-box.

==> To factor the difference of two squares, write

(the sum of their square roots) times (the difference of their square roots) .

That's exactly what you need to solve this problem.
I'll show you how it works:

9x² - 25

You look at this for a few seconds, and you realize that
9x² is the square of 3x , and 25 is the square of 5 .
So this expression is the difference of two squares,
and you can use the shiny new tool I just handed you.

The square roots are 3x and 5 .

So the factored form of the polynomial is (3x + 5) (3x - 5) .

That's all there is to it. If you FOIL these factors out, you'll see
that you wind up with the original polynomial in the question.

Mikkel pays a 4 percent state income tax on his earnings. If he earns $1,867, how much state income tax can he expect to pay? $46.68 $74.68 $466.75 $746.80