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3 years ago

Solve the following equation for x. Show each step. 5x + 2 = 3x + 4(2x - 1)

2 answers:

7 0

ANSWER: x = 1

1. Distribute the 4 into (2x-1). 5x + 2 = 3x + 8x - 4.
2. Add the like terms. 5x + 2 = 11x - 4.
3. Subtract 5x on both sides. 2 = 6x - 4.
4. Add 4 on both sides. 6 = 6x
5. Divide 6 on both sides. x = 1

Reptile [31]3 years ago

6 0

Answer:

$x=1$

Step-by-step explanation:

Start with:

$5x+2=3x+4(2x-1)$

Distribute the $4$ into $(2x-1)$ :

$5x+2=3x+8x-4$

Combine like terms:

$5x+2=11x-4$

Add $4$ to both sides of the equation:

$5x+6=11x$

Subtract $5x$ from both sides of the equation:

$6=6x$

Divide both sides of the equation by the coefficient of $x$ , which is $6$ :

$1=x$

$x=1$

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2 years ago

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3 years ago

Determine the slope between the following two points? (2,-9) and (-1,0)

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3 years ago

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Answers:

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2 years ago

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Answer:

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Step-by-step explanation:

Mean

$a)\bar{x}=\frac{1.9+ 2.3+ 5.7+ 5.2+ 1.9+ 8.8+ 3.9+ 7.3}{8} =\frac{37}{8}=4.625=\approx 4.63$

For the Median, we have to order the entries. So, ordering it goes:

1.9 1.9 2.3 3.9 5.2 5.7 7.3 8.8

Since we have even entries $\frac{\frac{n}{2}+\frac{n}{2} +1}{2}=\frac{4th+5th}{2}=\frac{3.9+5.2}{2}=4.55$

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The mode for this data 1.9 1.9 2.3 3.9 5.2 5.7 7.3 8.8 is 1.9

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Here it is the formula to calculate it:

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Coefficient of Variation

CV is the quocient between sample Standard deviation over Mean and it is used to make comparisons.

$CV=\frac{S_x}{\bar{x}}*100%=\frac{2.58}{4.63} \approx 55.72%$

Range

The difference between the highest and the lowest value of this sample

8.8-1.9=6.9

4 0

3 years ago