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
erica [24]
2 years ago
9

HELP HELP HELP HELP HELP HELP (STEP BY STEP)

Mathematics
1 answer:
Marizza181 [45]2 years ago
3 0

With some simple rearrangement, we can rewrite the numerator as

2x^3 - 3x^2 - x + 4 = 2(x^3 - x) - 3x^2 + x + 4 \\\\ ~~~~~~~~ = 2x(x^2-1) - 3(x^2 - 1) + x + 1 \\\\ ~~~~~~~~ = (2x-3)(x^2-1) + x+1

Then factorizing the difference of squares, x^2-1=(x-1)(x+1), we end up with

\dfrac{2x^3 - 3x^2 - x + 4}{x^2 - 1} = \dfrac{(2x-3)(x-1)(x+1) + x+1}{(x-1)(x+1)} \\\\ ~~~~~~~~ = \boxed{2x-3 + \dfrac1{x-1}}

You might be interested in
A bag has 4 green marbles and 8 red marbles. Half of the red marbles are made of plastic. A marble is selected at random from th
cupoosta [38]
I believe it is 4/12 since you have a total of 12 marbles and only 4 are red plastic ones
4 0
3 years ago
A bag contains 7 red marbles, 3 blue marbles and 5 green marbles. If three marbles
worty [1.4K]

Answer:

3.7%

Step-by-step explanation:

We know that from this situation, the probability of drawing a single green marble is 1/3. However, to find the probability of drawing 3 green marbles, we will need to do:

P= \frac{1}{3}* \frac{1}{3}*\frac{1}{3}

We get a probability of:

P= \frac{1}{27}

This converts to a percentage of:

\frac{1}{27}= 0.037 \\ 0.037*100= 3.7%

We get a percentage of 3.7%

8 0
3 years ago
Point T is at (-3, 8). What are the coordinates of T' after R(y-axis) o R(x-axis)?
Whitepunk [10]

Given:

Point is T(-3,8).

To find:

The coordinates of T' after R(y-axis)\circ R(x-axis).

Solution:

We know that, R(y-axis)\circ R(x-axis) means the figure reflected across the x-axis then reflected across y-axis.

If a figure reflected across x-axis, then

(x,y)\to (x,-y)

T(-3,8)\to T_1(-3,-8)

If a figure reflected across y-axis, then

(x,y)\to (-x,y)

T_1(-3,-8)\to T'(-(-3),-8)

T_1(-3,-8)\to T'(3,-8)

Therefore, the required point is T'(3,-8).

4 0
3 years ago
Please tell me what to multiply by like the equations (finding the surface area)
cupoosta [38]
Length time weith time highth
3 0
3 years ago
Read 2 more answers
What is the explicit formula for the arithmetic sequence 4/5, 29/30, 17/15, 13/10?
svetoff [14.1K]

Answer:

The answer is D,

a(n) = 4/5 + 1/6(n- 1)

just took the test :)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • How to solve this using trigonometry?
    10·1 answer
  • Timmy flipped a coin one hundred times. He got 62 heads and 38 tails. Which statement best discibes this situation
    13·1 answer
  • I need help trying to add 10 to each x-coordinate and 5 to each y-coordinate
    9·1 answer
  • Y=2x-1<br><br> y=-3x+14<br><br> Solve for y
    14·1 answer
  • A small auditorium has 12 rows of seats. There are 10 seats in the first row and 15 seats in the second row. The number of seats
    15·1 answer
  • Tom drove 290 miles from his college to hone and used 23.2 gallons of gasoline. His sister, Ann, drove 225 miles from her colleg
    14·1 answer
  • Maya’s school held an aluminum collection program in which they collected aluminum and brought it to be recycled. In the first w
    12·2 answers
  • The number of miles driven varies directly with the number of gallons of gas used. If 8 gallons of gas are used to drive 204 mil
    11·1 answer
  • What is the solution to these equations y= 2x +1 and x +2y= 27
    14·1 answer
  • Identify the area of the kite
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!