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Novay_Z [31]
3 years ago
11

How to Factor -6x-18y

Mathematics
2 answers:
Sunny_sXe [5.5K]3 years ago
3 0

Answer: 108

Step-by-step explanation:

SOVA2 [1]3 years ago
3 0

Answer:

-6 (x + 3y)

Step-by-step explanation:

You can't factor out any variables in this case so you should look towards factoring out a number

To fully factor, you find the greatest common factor between terms and extract that, placing it on the outside of the parenthesis.

So you rewrite -18y as -6 times 3y and rewrite -6x as -6 times x.

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In one month you earned $100 delivering newspapers if you deposit the money in a savings account with a simple interest rate of
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In 6 months, Simple interest of $6 will be earned for investing $100.

<u>Step-by-step explanation:</u>

Step 1:

Given details are Principal (P) = $100, SI rate (R) = 12%, Time (T) = 6 months = 0.5 years

Step 2:

Calculate Simple Interest by the formula SI = PRT/100

⇒ SI = 100 × 12 × 0.5/100

⇒ SI = $6

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Which set of integers is listed from least to greatest.
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show that the sum of the x- and y- intercepts of any tangent line to the curve sqrt(x) sqrt(y) = sqrt(c) is equal to c.
expeople1 [14]
The answer is <span>√x + √y = √c </span>
<span>=> 1/(2√x) + 1/(2√y) dy/dx = 0 </span>
<span>=> dy/dx = - √y/√x </span>

<span>Let (x', y') be any point on the curve </span>
<span>=> equation of the tangent at that point is </span>
<span>y - y' = - (√y'/√x') (x - x') </span>

<span>x-intercept of this tangent is obtained by plugging y = 0 </span>
<span>=> 0 - y' = - (√y'/√x') (x - x') </span>
<span>=> x = √(x'y') + x' </span>

<span>y-intercept of the tangent is obtained by plugging x = 0 </span>
<span>=> y - y' = - (√y'/√x') (0 - x') </span>
<span>=> y = y' + √(x'y') </span>

<span>Sum of the x and y intercepts </span>
<span>= √(x'y') + x' + y' + √(x'y') </span>
<span>= (√x' + √y')^2 </span>
<span>= (√c)^2 (because (x', y') is on the curve => √x' + √y' = √c) </span>
<span>= c.  hope this helps :D</span>
5 0
3 years ago
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