1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SVETLANKA909090 [29]
3 years ago
13

Simplify into one fraction

Mathematics
2 answers:
ella [17]3 years ago
8 0

Answer and Explanation :

We have simplify the expressions into one fraction :

1) Expression \frac{7}{x-3}+ \frac{3}{x-5}

Taking LCM in the denominator,

=\frac{7(x-5)+3(x-3)}{(x-3)(x-5)}

=\frac{7x-35+3x-9}{x^2-5x-3x+15}

=\frac{10x-44}{x^2-8x+15}

The required form is \frac{7}{x-3}+ \frac{3}{x-5}=\frac{10x-44}{x^2-8x+15}

2) Expression \frac{-5}{x-3}-(-4\cdot(x+2))

Taking LCM in the denominator,

\frac{-5}{x-3}+(4x+8)

=\frac{-5+(4x+8)(x-3))}{x-3}

=\frac{-5+4x^2-12x+8x-24}{x-3}

=\frac{4x^2-4x-29}{x-3}

The required form is \frac{-5}{x-3}-(-4\cdot(x+2))=\frac{4x^2-4x-29}{x-3}

3) Expression \frac{6}{x+7}- \frac{3}{x-2}

Taking LCM in the denominator,

=\frac{6(x-2)-3(x+7)}{(x+7)(x-2)}

=\frac{6x-12-3x-21}{x^2-2x+7x-14}

=\frac{3x-33}{x^2+6x-14}

The required form is \frac{6}{x+7}- \frac{3}{x-2}=\frac{3x-33}{x^2+6x-14}

artcher [175]3 years ago
3 0
1. 10x-44/x(squared)-8x+15
2. X+22/x(squared) -x-6
3.3x-33/x(squared)+5x-14
You might be interested in
A box contains 95 pink rubber bands and 90 brown rubber bands. You select a rubber band at random from the box. Find each probab
vivado [14]

Answer:A. The theoretical probability for pink is 95/185 or about 51.35%

B. The theoretical probability for brown is 90/185 or about 47.82%.

C. To find the experimental probability, we will make another fraction. The number of outcomes will be the numerator and the total will be the denominator.

Pink  36/69 = 52.17%

Brown  33/69 = 47.82%

Step-by-step explanation:

4 0
2 years ago
Circle has rad of 1.5m what angle subtended at center of circle by arc of 1m
Mumz [18]
120 degrees or 0.67 radians
5 0
3 years ago
A bank's monthly charge for maintaining an account is $.45 for each check written plus a service charge of $12.50. If x represen
Maksim231197 [3]
The function would be 12.50+.45x
5 0
3 years ago
Read 2 more answers
How do you find fh if ️fgh ~ ️kjh​
Lostsunrise [7]
What is that ? are you joking ?
5 0
2 years ago
Please answer this correctly
atroni [7]

Answer:

1/7

Step-by-step explanation:

The probability of picking an even number is 3/7.

Without putting the first card back, the probability of picking an even number again is 2/6.

3/7 \times 2/6

= 6/42

=1/7

7 0
3 years ago
Other questions:
  • A board 14 1/4 inches long is cut from a board that is 2 feet long. If the width of the saw cut is 1/8 inch, what is the length
    5·1 answer
  • A marble is selected at random from a jar containing 3 red marbles, 6 yellow marbles and 2 green marbles. Find the probability t
    11·1 answer
  • What is 79.35 divided by 5
    12·1 answer
  • 2 Points
    5·1 answer
  • Pls help I need to find x
    15·1 answer
  • Rewrite the expression in distributive property 8(2m+1)
    6·2 answers
  • A 156-inch board is cut into two pieces. One piece is three times the length of the other. Find the
    6·1 answer
  • Elena’s dad buys another type of cell phone that also usually sells for $250. He pays 75% of the usual price. How much did he pa
    9·1 answer
  • Devon had 3/5 of a candy bar. Gina ate ½ of it. How much of it remains?​
    5·2 answers
  • write a word problem that must be solved with division that includes two seven as the dividend and 4 as a divisor
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!