Mathematics
12.10.2020 01:27
165
263
4
Solved by an expert

3a + 2b + c/ d The expression gives the average number of points a team earns in

3a + 2b + c/ d The expression gives the average number of points a team earns in d
games by winning a games in regulation, b games in overtime and losing c games in
overtime. What is the average number of points earned for a team that wins 10 games in
regulation wins 8 in overtime, loses 6 in overtime, and loses 4 in regulation?
Show Answers
mvtthewisdead
mvtthewisdead
4,7(28 marks)
(x - 1)( x - 2) (x + 2) = x³ -x² -4x + 4.

Explanation:

1) Given equation:

    3             5x            x + 2
- +  = 
 x + 2        x - 1       x² - 3x + 2

2) So, the denominators are x + 2, x - 1, and x² - 3x + 2

3) The LCD is the product of the common and non common factors raised to the greatest power.

4) x + 2, and x - 1 are already prime factors

5) Factor x² - 3x + 2

x² - 3x + 2 = (x - 2)(x - 1)

6) Then, the factors are x + 2, x - 1, and x - 2, and the LCD is the product of them:
(x - 1)( x - 2) (x + 2)

7) If you expand the products (distributive property) you get:
x³ -x² -4x + 4.

Popular Questions about the subject: Mathematics

In triangle ABC, m∠A=35°, m∠B=60°, and the length of side AB is 6 cm. Find the...
Mathematics
22.11.2020 13:30
here is a histogram of the yearly number of unprovoked attacks by alligators....
Mathematics
13.02.2023 10:24
What is the reciprocal of 5?...
Mathematics
23.03.2023 13:44
If a point is the midpoint of a segment, then it divides the segment into two...
Mathematics
19.01.2021 06:24
Which represents the solution(s) of the equation x2 = 324? A) x = 18 B) x = ±...
Mathematics
06.05.2023 13:50
For each of the following questions, solve for the unknown quantity by rearranging...
Mathematics
22.05.2023 15:55
What is the slope of the equation y – 3 = –4(x – 5)?e of the equation y – 3 =...
Mathematics
19.10.2020 08:28
Draw the graph of y- for values of from-4 t0 4. Use the scale of 1 cm to 10 unit...
Mathematics
13.03.2022 02:10
Donna claims: “To get from A to B, I can move over 3 and up 4. To get from C...
Mathematics
23.07.2021 03:11
What are the measures of mBC, mCD, mAD, mAB, and mABC?...
Mathematics
30.12.2020 08:41

New questions by subject

Hi please help i’ll give brainliest...
Biology
31.03.2022 00:29
Justin buys ice cream and apples at the store. He pays a total of $25.24. He...
Mathematics
31.05.2020 12:12
Triangle MNO i similar to triangle RST as shown, what is the value of x...
Mathematics
07.11.2022 21:56
If it was against the law to read books, i would break the law and read anyway...
English
09.10.2020 05:23
Select all correct conversions. 0.6 km = 6,000 m 46 m = 4,600 cm 457 mm = 4.57...
Mathematics
12.08.2022 08:56
The body is made up of systems that work together so that an organism can survive...
Biology
20.09.2022 16:19
PLEASE DO NOT ANSWER IF YOU DONT KNOW, I really need help on this will give brainiest...
English
22.11.2022 08:49
Find the value of x - this is circle segments....
Mathematics
15.01.2023 02:14
Goodmorning, can someone help me with this question plz?...
History
20.11.2021 08:24
Zhang recorded the low temperature for 4 days. Day Monday Tuesday Wednesday Thursday...
Mathematics
22.01.2023 21:17
#
#
#
#
# #

We expand our knowledge with many expert answers