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raketka [301]
3 years ago
15

Simplify : a–(b–c)+(m+n) x+a + (m – 2) m + (a–k–b) x + (a–b) – (c–d)

Mathematics
1 answer:
Masja [62]3 years ago
6 0

Answer:

The simplified expressions are

1) a - b + c + m + n

2) x + a + m - 2

3) m + a - k - b

4) x + a - b - c + d

Step-by-step explanation:

1) a - (b - c) + (m + n)

To simplify the above expression, we have;

a - (b - c) + (m + n)  = a - b - (-c) + m + n = a - b + c + m + n

2) x + a + (m - 2)

To simplify the above expression, we have;

x + a + (m - 2) = x + a + m - 2

3) m + (a - k - b)

To simplify the above expression, we have;

m + (a - k - b) =  m + a - k - b

4) x + (a - b) - (c - d) = x + a - b - c -(- d)) = x + a - b - c + d

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Step-by-step explanation:

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3 years ago
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Airida [17]

Answer:

4

Step-by-step explanation:

-2 + 6 = 4

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3 years ago
What is the effect on the graph of f(x) if it is changed to f(x) + 2 and f(x + 2)?
liraira [26]

Answer:

For f(x)+2, it goes along the y axis, 2 units.

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Step-by-step explanation:

6 0
3 years ago
You are carpeting a room in a house for your job. You have a boss that likes to play jokes, so instead of just giving you the di
forsale [732]

Answer:

x^2-4x+3

63\ \text{sq. units}

Step-by-step explanation:

l = Length = \dfrac{x^2-x-6}{x-5}

w = Width = \dfrac{x^2-6x+5}{x+2}

Area is given by

A=lw\\\Rightarrow A=\dfrac{x^2-x-6}{x-5}\times\dfrac{x^2-6x+5}{x+2}\\\Rightarrow A=\dfrac{x^2-3x+2x-6}{x-5}\times\dfrac{x^2-5x-1x+5}{x+2}\\\Rightarrow A=\dfrac{(x-3)(x+2)}{x-5}\times\dfrac{(x-5)(x-1)}{x+2}\\\Rightarrow A=(x-3)(x-1)\\\Rightarrow A=x^2-4x+3

Area of the room is x^2-4x+3.

If x=10

Area of the room

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4 0
2 years ago
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Elena L [17]
I would use the quadratic formula for this:

  x = -b ± √b² - 4ac over 2a
  x = 8 ± √64 - 4(1)(0) over 2(1)
  x = 8 ± √64 over 2
  x = 8 <span>± 8 over 2 [simplify]
  x = 4 </span><span>± 4
     x1 = 4 + 4    x2 = 4 - 4
     x1 = 8          x2 = 0


Thus, the solutions for x would be 0 and 8.</span>
5 0
2 years ago
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