All categories

3 years ago

Add and/or Subtract the following, Simplify Completely

Mathematics

1 answer:

Margaret [11]3 years ago

3 0

First, we need to equalize the denominator. If the denominator multiplies by (x+1), so does the numerator. If the denominator multiplies by (x-1), so does the numerator.
Look into my attachment at the second row.

Second, because the first fraction and the second fraction have the same denominator, you can join them into one fraction.
Look into my attachment at the third row.

Third, simplify the numerator.
Look into my attachment at the fourth to the fifth row

Fourth, simplify the denominator.
Look into my attachment at the sixth to the seventh row.

You might be interested in

Rick traveled 23 of the way from his parents' house to his college dorm. He has driven 294 miles. What is the total distance bet

dimulka [17.4K]

Answer:

441 miles

Step-by-step explanation:

Rick traveled $\frac{2}{3}$ of the way from his parents' house to his college dorm. He has driven 294 miles.

This means that

$\dfrac{2}{3} \text{ of the way is } 294 \text{ miles}$

Then

$\dfrac{1}{3} \text{ of the way is } 294\div 2=147 \text{ miles}$

and

$\dfrac{3}{3} \text{ of the way is } 294+147=441 \text{ miles}$

6 0

3 years ago

Ms Bonilla is saving for a vacation she currently has 150 in her savings account and plans to add $25 to the account each week .

Alexandra [31]

Answer and Step-by-step explanation:

Alright, so when creating any type of math problem, it is important to identify the parts of the problem and where they go. First, we need to start by putting the problem together. We will use one of the most common forms of equations of math, also known as the linear equation of y=mx+b.

So we have: S(w)=__x + __. S(w) is also equal to f(x), which is also equal to y. So: y= __x + __.

Let's start filling this equation in. So, because it says that she will add 25 dollars each week, The problem is addition. Also, the 25 dollars each week will represent the mx in this situation. Here's why:

The x in this can stand for the amount of week she added this 25 dollars to her account. So:

y= 25x + __.

Now, we can add the 150 to the problem because that is what she started with for this one-time deal. So now we have:

y= 25x + 150.

You can now where everything is represented, but we are not done. Let's change y and x back into S(w) and w like the question asks us to have. So:

S(w)= 25w + 150.

If you want to solve this question, just replace the number of weeks in place of all w's in the equation, like this: S(2)= 25(2) + 150.

I hope that this helps.

8 0

2 years ago

PLEASE HELP ILL GIVE MEDALS AND MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!! NEEDS TO BE ALEGABRA 2 MEATHOD!!!!!!!!

svet-max [94.6K]

Solve (x+3) / 3x > 2 . [I guess 3x divides (x+3) and not 3], if so, then
(x+3) > 6x → 3 > 6x-x → OR x < 3/5 OR x<0.6

8 0

3 years ago

The FBI wants to determine the effectiveness of their 1010 Most Wanted list. To do so, they need to find out the fraction of peo

Murrr4er [49]

Answer:

The proportion of people who were caught after being on the 1010 Most Wanted list would be 40.81%.

Step-by-step explanation:

Since the FBI wants to determine the effectiveness of their 1010 Most Wanted list, and to do so, they need to find out the fraction of people who appear on the list that are actually caught, supposing a sample of 517517 suspected criminals is drawn, and of these people, 211211 were captured, to estimate the proportion of people who were caught after being on the 1010 Most Wanted list using this data, the following calculation must be performed:

517,517 = 100

211,211 = X

211,211 x 100 / 517,517 = X

21,121,100 / 517,517 = X

40.81 = X

Therefore, the proportion of people who were caught after being on the 1010 Most Wanted list would be 40.81%.

4 0

3 years ago

Determine the scale la C 10 in 5 in O A. 10 O B. 2 O c. NI O D. 5

Jobisdone [24]

Answer:

B.2

Step-by-step explanation:

To make ΔA'B'C' from ΔABC, we need to use t

he scale factor =|A'B'|/|AB|=10/5=2

3 0

3 years ago