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3 years ago

13

What's the answer to 4x + 6 = 2 ( 3x - 4 )

2 answers:

Tcecarenko [31]3 years ago

8 0

<span><span><span>4x</span>+6</span>=<span>2<span>(<span><span>3x</span>−4</span>)
</span></span></span>
<span><span><span /></span></span>Step 1: Simplify both sides of the equation.
<span><span><span>4x</span>+6</span>=<span>2<span>(<span><span>3x</span>−4</span>)
</span></span></span>
<span><span><span /></span></span><span><span><span>4x</span>+6</span>=<span><span><span>(2)</span><span>(<span>3x</span>)</span></span>+<span><span>(2)</span><span>(<span>−4</span>)</span></span></span></span>(Distribute)
<span><span><span>4x</span>+6</span>=<span><span><span>6x</span>+</span>−8
</span></span>
<span><span /></span><span><span><span>4x</span>+6</span>=<span><span>6x</span>−8
</span></span>
<span><span /></span>Step 2: Subtract 6x from both sides.
<span><span><span><span>4x</span>+6</span>−<span>6x</span></span>=<span><span><span>6x</span>−8</span>−<span>6x
</span></span></span>
<span><span><span /></span></span><span><span><span>−<span>2x</span></span>+6</span>=<span>−8
</span></span>
<span><span /></span>Step 3: Subtract 6 from both sides.
<span><span><span><span>−<span>2x</span></span>+6</span>−6</span>=<span><span>−8</span>−6
</span></span>
<span><span /></span><span><span>−<span>2x</span></span>=<span>−14
</span></span>
<span><span /></span>Step 4: Divide both sides by -2.
<span><span><span>−<span>2x</span></span><span>−2</span></span>=<span><span>−14</span><span>−2
</span></span></span>
<span><span><span /></span></span><span>x=7
</span>
<span />

Nina [5.8K]3 years ago

6 0

4x+6=2(3x-4) (simplify to the right)

4x+6=6x-8 (move all terms not containing x to the right of the equation)

-2x=6=-8

-2x=-14 (divide each term by -2)

x=7

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Answer:

The 98% of the confidence interval for the true average salary of Knirhsdaeh employees as a psychology counselor

(75.4206, 86.5794)

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that the mean of the sample = $81 k</em>

<em>Given that the size of the sample 'n' = 23</em>

<em>Given that the standard deviation for the salaries is $13 k</em>

<u><em>Step(ii):-</em></u>

<u><em>98% of the confidence interval for the true average salary of Knirhsdaeh employees is determined by</em></u>

<u><em /></u> $(x^{-} - t_{0.02} \frac{S.D}{\sqrt{n} } , x^{-} + t_{0.02} \frac{S.D}{\sqrt{n} })$ <u><em /></u>

<u><em>Degrees of freedom = n-1 = 23-1 =22</em></u>

<u><em /></u> $t_{0.02} = 2.5083$ <u><em /></u>

$(81 - 2.0583 \frac{13}{\sqrt{23} } , 81 + 2.0583 \frac{13}{\sqrt{23} } )$

( 81 - 5.57940 , 81 + 5.57940)

(75.4206, 86.5794)

<u><em>Final answer:-</em></u>

The 98% of the confidence interval for the true average salary of Knirhsdaeh employees as a psychology counselor

(75.4206, 86.5794)

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2 years ago

What is the y intercept for y=1.5x

Novay_Z [31]

0
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