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miskamm [114]
3 years ago
12

Solve the inequality. 1/2 (8x − 2) − 2/3 (9x + 3) ≤ 8

Mathematics
1 answer:
Kryger [21]3 years ago
6 0

Answer:

x ≥ -11/2

Step-by-step explanation:

Step 1: Write inequality

1/2(8x - 2) - 2/3(9x + 3) ≤ 8

Step 2: Solve for <em>x</em>

  1. Distribute: 4x - 1 - 6x - 2 ≤ 8
  2. Combine like terms: -2x - 3 ≤ 8
  3. Add 3 to both sides: -2x ≤ 11
  4. Divide both sides by -2: x ≥ -11/2
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Please hurry and show steps :0
ch4aika [34]

1. nth term=3n-1

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2. nth term=-2n-4

   20th term=-2(20)-4=-40-4=-44

3. nth term=\frac{2}{3}n-\frac{2}{3}

   20th term=\frac{2}{3}(20)-\frac{2}{3}=\frac{40}{3}-\frac{2}{3}=\frac{38}{3}

4. nth term=-\frac{1}{3}n+\frac{11}{15}

   20th term=-\frac{1}{3}(20)+\frac{11}{15}=-\frac{20}{3}+\frac{11}{15}=-\frac{89}{15}

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Answer:

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Step-by-step explanation:

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Solve the following system of equations <br> Y= -2x – 3<br> 4y + x =16
Aleksandr-060686 [28]

Answer:

(-4,5)

*View attached graph*

Step-by-step explanation:

y = -2x - 3

4y + x = 16

4y + x = 16

4(-2x - 3) + x = 16

-8x - 12 + x = 16

-7x - 12 = 16

     +12   + 12

-7x = 28

/-7    /-7

x = -4

4y + x = 16

4y + (-4) = 16

4y - 4 = 16

   + 4   + 4

4y = 20

/4     /4

y = 5

(x,y) -> (-4,5)

Hope this helps!

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