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Molodets [167]
2 years ago
15

Which table represents a function?

Mathematics
1 answer:
alina1380 [7]2 years ago
4 0
Table B is the answer because each x value has only 1 y value
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What is x if n≠m? Please help!
lorasvet [3.4K]

Answer: x = \frac{mn(q - p)}{n-m}\\\\

================================================

Work Shown:

Part 1

\frac{x-m}{m} + p = \frac{x-n}{n} + q\\\\\frac{x-m}{m} - \frac{x-n}{n} = q - p\\\\\frac{n(x-m)}{mn} - \frac{m(x-n)}{mn} = q - p\\\\\frac{xn-mn}{mn} - \frac{xm-mn}{mn} = q - p\\\\\frac{xn-mn-(xm-mn)}{mn} = q - p\\\\

Part 2

\frac{xn-mn-xm+mn}{mn} = q - p\\\\\frac{xn-xm}{mn} = q - p\\\\\frac{x(n-m)}{mn} = q - p\\\\x(n-m) = mn(q - p)\\\\x = \frac{mn(q - p)}{n-m}  \\\\

-------------------------------

Explanations:

  • There are quite a bit of steps. I decided to break things into two parts.
  • The goal is to get x all by itself on its own side, which is why I subtracted (x-n)/n from both sides in part 1, step 2. I also subtracted p from both sides.
  • Afterward, I gave each fraction the LCD mn. I multiplied top and bottom of the first fraction by n/n. I did a similar operation to the second fraction, but with m instead.
  • From there, we distribute and simplify. The mn terms cancel on the left side numerator (second step of part 2).
  • The n≠m is there to prevent the denominator (n-m) from being zero. We cannot divide by zero.
  • If the formulas don't properly display, then you might have to refresh the page.
7 0
2 years ago
Which of the following is a quotient of the rational expressions shown here?
yuradex [85]

Answer:

x^2+x

--------

x-1

Step-by-step explanation:

x            1

------ ÷ --------

x-1        x+1

Copy dot flip

x          x+  1

------ * --------

x-1        1

x(x+1)

-------

x-1

x^2+x

--------

x-1

3 0
2 years ago
Read 2 more answers
Please help me I would really appreciate it this really affects my grade need the answer the ASAP
Drupady [299]

Answer:

27/6, 4 3/6, or simplified version 4 1/2

Step-by-step explanation:

Always convert the mixed numbers into an improper fraction before you solve, this makes it easier to solve.

2 4/6 = 16/6

1 5/6 = 11/6

3 4/6 = 22/6

Now we solve. Remember, you do NOT add the denominator, leave it as 6 not 12. You only add the numerator.

16/6 + 11/6 = 27/6, 4 3/6 or simplified as 4 1/2

22/6 + 5/6 = The same as above.

6 0
3 years ago
Need help please show ur work
boyakko [2]
Use distributive property
5(4x + 3) - 2x
20x + 15 - 2x
Simplify by liked terms
18x + 15
The solution is A
3 0
2 years ago
A 12 foot ladder is placed against the side of the building. The base of the ladder is placed at an angle of 68° with the ground
3241004551 [841]

Answer:

Step-by-step explanation:

A

3 0
3 years ago
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