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podryga [215]
3 years ago
5

Solving Rational equations. LCD method. Show work. Image attached.

Mathematics
1 answer:
kenny6666 [7]3 years ago
6 0

Answer:

m=-\frac{3}{2}

Step-by-step explanation:

The given equation is

\frac{m}{m+1}+\frac{5}{m-1}=1

The Least Common Denominator is (m-1)(m+1).

We multiply through by the LCD to get;

(m-1)(m+1)\times \frac{m}{m+1}+(m-1)(m+1)\times\frac{5}{m-1}=(m-1)(m+1)\times1

Simplify

(m-1)\times \frac{m}{1}+(1)(m+1)\times\frac{5}{1}=(m-1)(m+1)\times1

m(m-1)+5(m+1)=(m-1)(m+1)

Expand;(Use difference of two squares on the right hand side)

m^2-m+5m+5=m^2-1

Group similar terms;

m^2-m^2-m+5m=-1-5

Simplify;

4m=-6

Divide through by 4.

m=\frac{-6}{4}

m=-\frac{3}{2}

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Ten pieces of paper numbered consecutively from 1 to 10 are put into a hat. if three pieces of paper are drawn at random from th
DaniilM [7]

There are 5 even numbers from 1 to 10.


The number of ways to draw all even numbers is 5!/(2!*3!) = 10


The number of ways to draw from the hat is 10!/(7!*3!) = 128


Therefore the probability is 10/128 = 5/64 or roughly 7.81%

7 0
3 years ago
Lee is staying at a hotel. The cost of the first night is $240. The cost for each night after that is $210. Let y represent the
GenaCL600 [577]

A) The situation represents an arithmetic sequence because the successive y-values have a common difference of 210.

F(1) = 240 +210

F(2) = 240 +2(210)

F(3) = 240+3(210)

.

.

.

.

F(x)= 240 +210x.

Learn more about Sequence:

brainly.com/question/12246947

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3 0
1 year ago
If you answer all 4 i will give you brainliest please answer ASAP
marshall27 [118]

Answer:

9. The graph will shift down 2 units

10. The graph will be moved right by 4 units

11.  The graph will be vertically stretched by 2 units

Step-by-step explanation:

<em><u>PLEASE MARK AS BRAINLIEST! HOPE THIS HELPS! :) </u></em>

6 0
2 years ago
Kyle Charges $75 plus $65 per hour for tractor work. How many hours does he work to earn at least $335?
strojnjashka [21]

Answer:

Hi there!

Your answer is

Kyle must work at LEAST 4 hours to earn 335$

Step-by-step explanation:

kyles charge:

75+65H>=335

-75

65H>=260

/65

H>=4

Plug back in!

75+65(4) >= 335?

335>=335 YES!

Hope this helps

7 0
2 years ago
Write a matrix to represent the system of equations.
ioda

Answer:

7   -1   6  |  -8

7  -5   7   |  1

0    1    -4 | -5

Step-by-step explanation:

Note that there are four columns in this system, representing the variables x, y and z and constants.  So the given matrix pattern is appropriate:  It has three columns for the coefficients of x, y and z and one column for the constants.

We need only identify the coefficients and transfer them into the appropriate boxes of the matrix pattern.

We get:

7   -1   6   -8

7  -5   7     1

0    1    -4  -5

7 0
2 years ago
Read 2 more answers
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