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
notsponge [240]
3 years ago
8

I need help with this math problem

Mathematics
1 answer:
den301095 [7]3 years ago
8 0

Answer:

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

2). \frac{1}{x^{2}-16 }=\frac{1}{(x-4)(x+4)}

Step-by-step explanation:

In this question we have to write the fractions in the factored form.

Rational expressions are \frac{2}{x^{2}-x-12 } and \frac{1}{x^{2}-16 }.

1). \frac{2}{x^{2}-x-12 }

Factored form of the denominator (x² - x - 12) = x² - 4x + 3x - 12

                                                                           = x(x - 4) + 3(x - 4)

                                                                           = (x + 3)(x - 4)

Therefore. \frac{2}{x^{2}-x-12 }=\frac{2}{(x+3)(x-4)}

2). \frac{1}{x^{2}-16 }

Factored form of the denominator (x² - 16) = (x - 4)(x + 4)

[Since (a²- b²) = (a - b)(a + b)]

Therefore, \frac{1}{x^{2}-16 }=\frac{1}{(x-4)(x+4)}

You might be interested in
A construction elevator can carry at most 2,320 pounds. If the elevator operator weighs 195 pounds and each palette of roofing m
zvonat [6]
The maximum number of palettes that the elevator can carry in one trip is 5.

425 times 5= 2,125+ 195= 2,320


Hope this helps!! :-)
6 0
3 years ago
The troposphere extends from the earths surface to a height of 6-12 miles depending on the location and the season. If a plane i
Vika [28.1K]

Answer:

2.8

Step-by-step explanation:

8.6 - 5.8

6 0
3 years ago
Quiz 3
erica [24]

Complete question :

The data below represents the number of customers at each Slurpee Sam's Spaghetti Shop. 24, 25, 29, 30, 31, 31, 32, 34, 34. Which box plot correctly summarizes the data?

Answer:

B

Step-by-step explanation:

BOX plots provide information about :

Minimum, Lower quartile, Median, Upper quartile and maximum value of a dataset.

Given the dataset :

24, 25, 29, 30, 31, 31, 32, 34, 34

Minimum value = 24 (Lowest value in the dataset)

First quartile (Q1) = 1/4(n+1)th term

Q1 = 1/4 * 10 = 10/4 = 2.5th term = (25+29)/2 = 27

Second quartile ; median (Q2) = 1/2(n+1)th term

Q2 = 1/2(n+1)th term = 1/2(10) = 5th = 31

Third quartile (Q3) = 3/4(n+1)th term

Q3 = 3/4(n+1)th term = 3/4(10) = 30/4 = 7.5th term = (7th +8th) term = (32 + 34) / 2 = 66/2 = 33

Maximum value = 34 (Highest value in the dataset)

First dot = minimum value

Last dot = maximum value

First line of box = QI

mid line = median

End line of box = Q3

4 0
2 years ago
Help asap please does the graph represent a function
Anni [7]
Yes it represents a function.
4 0
3 years ago
Read 2 more answers
A rectangular whiteboard has an area of x^2-12x-45. Which expression could
Firdavs [7]

Answer: I Think it is b

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • The perimeter of a rectangle is 86cm Twice the width exceeds the length by 2cm find the dimensions of the rectangle
    7·1 answer
  • What is 3.14 times 20 time 1/2
    12·1 answer
  • Find the value of the expression where x=-1, y = 3, and z=-4.<br><br> 4x-z <br> ——-<br> 2y
    5·1 answer
  • Can anyone help me with this??
    8·1 answer
  • Which of the following explains the role of Pi (1) in finding the circumference of a circle?
    12·1 answer
  • While walking in his neighborhood, Donnie found 2 dimes and 2 pennies on the ground . What percent of a dollar did Donnie find ?
    15·2 answers
  • What is the slope intercept of the equation of each line given the slope and y intercept slope = 8/3 y intercept =-4
    7·1 answer
  • * plz hurry it is on a test
    13·1 answer
  • Help which is the right one? <br><br> A) SSS<br> B) ASA<br> C) SAS<br> D) SSA
    11·1 answer
  • Find cos (330°). Your answer MUST be in radical form.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!