3 years ago

Add and simplify

Mathematics

1 answer:

Tanya [424]3 years ago

6 0

Answer:

Your 1st answer is correct

Step-by-step explanation:

$\frac{1}{(x - 1)} - \frac{3}{(1 - x)} + 2$

$\frac{1}{(x - 1)} - \frac{3}{ - (x - 1)} + 2$

$\frac{1}{(x - 1)} + \frac{3}{(x - 1)} + 2$

$\frac{4}{(x - 1)} + 2$

$\frac{4 + 2(x - 1)}{x - 1}$

$\frac{4 + 2x - 2}{x - 1}$

$= \frac{2x + 2}{x - 1}$

$= \frac{2(x + 1)}{x - 1}$

You might be interested in

Which functions graph has a period of 8 and reaches a maximum height of 1 if at least one full period is graphed

faltersainse [42]

Answer: y= -4cos (pi/4x)-3

Step-by-step explanation:

3 0

3 years ago

If mce =40 and m cde =30 what is mab

deff fn [24]

The measure of arc AB is 100°.

3 0

3 years ago

Find the value of kk for which the constant function x(t)=kx(t)=k is a solution of the differential equation 5t3dxdt+2x−2=05t3dx

uranmaximum [27]

Given the differential equation

$5t^3 \frac{dx}{dt} +2x-2=0$

The solution is as follows:

$5t^3 \frac{dx}{dt} +2x-2=0 \\ \\ \Rightarrow5t^3 \frac{dx}{dt} =2-2x \\ \\ \Rightarrow \frac{5}{2-2x} dx= \frac{1}{t^3} dt \\ \\ \Rightarrow \int {\frac{5}{2-2x} } \, dx = \int {\frac{1}{t^3}} \, dt \\ \\ \Rightarrow- \frac{5}{2} \ln(2-2x)=- \frac{1}{2t^2} +A \\ \\ \Rightarrow\ln(2-2x)= \frac{1}{5t^2} +B\\ \\ \Rightarrow2-2x=Ce^{\frac{1}{5t^2}} \\ \\ \Rightarrow 2x=Ce^{\frac{1}{5t^2}}+2 \\ \\ \Rightarrow x=De^{\frac{1}{5t^2}}+1$

3 0

3 years ago

Ms. Robinson modern novel at a bookstore on sale for 20% off its regular price $29.99 Mr. Chang thought the same novel as a diff

lord [1]

Mr. chang paid the least because 10% off 25 is more than 20%off 30

4 0

3 years ago

South School has a circular pattern on the playground that has a radius of 6 feet. Find a. the circumference of the pattern and

katrin [286]

Answer:

Circumference: 37.68

Area: 113.04

Step-by-step explanation:

the formula to find the circumference is 2 x 3.14 x r

r is the radius so you plug in 6 for that

2 x 3.14 x 6 = 37.68

the formula to find the area of a circle is 3.14 x r ²

r is still the radius so you plug in 6 for that

3.14 x 6² = 113.04

6 0

3 years ago