What is the greatest common denominator

Please also provide details steps to this answer. PLEASE HELP ME!

Ivahew [28]

Answer:

C

Step-by-step explanation:

First, to make things simpler, let's create a common denominator for every term. We can do this by multiplying (x+4) and (x+3) when the denominator has a (x+3) or (x+4), respectively. In other words:

$(\frac{3}{x+3} -\frac{4}{x+4})\div (\frac{2x}{x+3}-\frac{x}{x+4})$

$(\frac{3(x+4)}{(x+3)(x+4)}-\frac{4(x+3)}{(x+4)(x+3)}) \div (\frac{2x(x+4)}{(x+3)(x+4)} -\frac{x(x+3)}{(x+4)(x+3)} )$

Now that they all have a common denominator, we can combine them:

$(\frac{3(x+4)-4(x+3)}{(x+3)(x+4)})\div (\frac{2x(x+4)-x(x+3)}{(x+3)(x+4)} )$

Now, divide them. Recall how to divide fractions. You "flip" the second term and change the division sign into a multiplication sign.

$=(\frac{3(x+4)-4(x+3)}{(x+3)(x+4)})\cdot (\frac{(x+3)(x+4)}{2x(x+4)-x(x+3)} )$

Notice the denominator of the first term and the numerator of the second; we can cancel them out.

$=\frac{3(x+4)-4(x+3)}{2x(x+4)-x(x+3)}$

Now, we just need to simplify.

$=\frac{(3x+12)+(-4x-12)}{(2x^2+8x)+(-x^2-3x)} =\frac{-x}{x^2+5x} =\frac{-1}{x+5}=-\frac{1}{x+5}$

8 0

3 years ago

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I’ll mark you brainliest!!!! Use the function to find f(-4).

lutik1710 [3]

Answer:1/16

Step-by-step explanation:

So I plugged in -4 for x

f(x)=2^-4= 1/16

hope that helps

3 0

3 years ago

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There are a total number of 38 possible equally likely outcomes on a roulette wheel. Out of the 38 outcomes, there are 18

Veseljchak [2.6K]

Answer:

9/19

Step-by-step explanation:

just put the total odd numbers, 18, over the total outcomes, 38, and divide them and simplify

7 0

3 years ago

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A political candidate collected $1,749 from a fund raising dinner. If each supporter contributed at least $50, what is the great

Irina-Kira [14]

Answer: C. 34

Step-by-step explanation: 1749 divided by 50 is 34.94 however those extra cents has to just be counted like a tip because it’s not big enough to count as someone. It has to be a full number. Sorry if I explain weird!

4 0

3 years ago

1. Petra works as a delivery person for a restaurant. The graph shows a linear model for her

Charra [1.4K]

Answer: The points are, the top left one, (21,3) and the one on the bottom is (6, 12)

Step-by-step explanation: For the slope, we label one of the points, with y or x. For example, (21, 3) we would label 21 either y1 or x1. Say we put y2, then 3 would be x2. Moving on, (6,12) this time we could label 6 as either y1 or x1. Same thing, but this time we are going to label 6 as y1 and 12 x1. Again, it’s DOES NOT matter what you label them as.

Now to solve it, remember y numbers always go on top! M which is slope. M = y2 - y 1 / x2 - x 1 or with the numbers M = 21 - 6 / 12 - 3 = 15/9 simplified = 5/3

4 0

3 years ago