All categories

3 years ago

Which expression is equivalent to the following complex fraction?

Mathematics

2 answers:

Sedbober [7]3 years ago

7 0

Answer: the second option is the correct answer

Step-by-step explanation:

The given expression is

[3/(x - 1) - 4]/[2 - 2/(x - 1)

We would simplify the numerator first. The LCM of the numerator is

x - 1. Taking the LCM of the numerator, it becomes

[3 - 4(x - 1)]/(x - 1)

= [3 - 4x + 4]/(x - 1)

= (- 4x + 7)/(x - 1)

We would simplify the denominator. The LCM of the denominator is

x - 1. Taking the LCM of the numerator, it becomes

[2(x - 1) - 2]/(x - 1)

= [2x - 2 - 2]/(x - 1)

= (2x - 4)/(x - 1)

= 2(x - 2)/(x - 1)

The expression becomes

[(- 4x + 7)/(x - 1)]/[ 2(x - 2)/(x - 1)]

= (- 4x + 7)/(x - 1) × (x - 1)/2(x - 2)

(x - 1) cancels out. It becomes

(- 4x + 7) / 2(x - 2)

SpyIntel [72]3 years ago

4 0

Answer:

-4x+7/2(x-2)

Step-by-step explanation:

On edgen Option B is correct.

You might be interested in

The population of Canyon Edge is 210,000, and the rate of population growth is 12.5%.

sergejj [24]

For this case we have a function of the form:
$y = A * (b) ^ x
$
Where,
A: initial population
b: growth rate
x: number of years.
We then have the following function:
$y = 210000 * (1,125) ^ x
$
For x = 4 years we have:
$y = 210000 * (1,125) ^ 4

 y = 336379$
Answer:
the formula for exponential growth is:
y = 210000 * (1,125) ^ x
The population of Canyon Edge after 4 years is:
y = 336379

3 0

4 years ago

PLEASE HELP ME !!! 5. Jack is choosing between two pest control companies, Mouse Arrest and Hugs, not Bugs. The amount that the

GalinKa [24]

The solution to the equation is (5, 250) which is the point of intersection.

<h3>Linear equation</h3>

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the total cost for renting pest company for x months.

Given the equation y = 25x + 125 and y = 50x. Graphing the equations.

The solution to the equation is (5, 250) which is the point of intersection.

Find out more on Linear equation at: brainly.com/question/14323743

8 0

3 years ago

Write the expression: 3 divided by the sum of x and 9. A) 3 + 9 x B) x 3 + 9 C) x + 9 3 D) 3 x + 9

yuradex [85]

Yes that is the answer

8 0

3 years ago

Read 2 more answers

4x^3 - 5x^2 + 10x + 6/4x+3

mario62 [17]

Answer:

4x³-5x²+11 2/4x +3

Step-by-step explanation\

you cant combine like terms that are not the same

5 0

3 years ago

Solve the following system of equations graphically on the set of axes below.

Elza [17]

The 1st line slopes up with y intercept = 5
the 2nd line slopes down with y intercept =-5

they intersect in quadrant II at (-6,4)

Here’s an example to go along with your problem, plug in your numbers!

3 0

3 years ago