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barxatty [35]
3 years ago
10

Evaluate the expression when x = 2, y = 3, and z = -4 3X-2

Mathematics
1 answer:
leva [86]3 years ago
4 0

Answer:4

Step-by-step explanation:

X= 2

3x= 3×2

3×2=6

6-2=4

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The division property of equality could be used to solve which of the following equations? 5 x = 30 x + 3 = 7 ( x + 2) ( x - 2)
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5x=30

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A direct variation exist between x and y. When x=4, y=3. What is the value of y when x=10
scoray [572]

Answer:

y = 7.5

Step-by-step explanation:

Given

Direct variation implies that:

y = kx

Where k is the constant of variation.

x=4; y=3

Required

Find y when x = 10

y = kx

Make k the subject

k = \frac{y}{x}

For: x=4; y=3

k = \frac{3}{4}

For: x = 10

k = \frac{y}{x} becomes

k = \frac{y}{10}

Substitute k = \frac{3}{4}

\frac{3}{4} = \frac{y}{10}

Make y the subject

y = \frac{3}{4} * 10

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7 0
3 years ago
Manuela solved the equation 3−2|0.5x+1.5|=2 for one solution. Her work is shown below. 3−2|0.5x+1.5|=2 −2|0.5x+1.5|=−1 |0.5x+1.5
forsale [732]

Answer:

x=-4

Step-by-step explanation:

The given equation is

3-2|0.5x+1.5|=2

Subtract 3 from both sides.

3-2|0.5x+1.5|-3=2-3

-2|0.5x+1.5|=-1

Divide both sides by -2.

\dfrac{-2|0.5x+1.5|}{-2}=\dfrac{-1}{-2}

|0.5x+1.5|=0.5

If |x|=a, then x=a or x=-a.

0.5x+1.5=\pm 0.5

Case 1: 0.5x+1.5=0.5

Subtract 1.5 from both sides.

0.5x=0.5-1.5

0.5x=-1

Divide both sides by 0.5.

x=-2

Case 2: 0.5x+1.5=-0.5

Subtract 1.5 from both sides.

0.5x=-0.5-1.5

0.5x=-2

Divide both sides by 0.5.

x=-4

Therefore, one solution is x=-2 and other solution is x=-4.

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4 years ago
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