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ExtremeBDS [4]
3 years ago
11

2/ 3 (6 − 9x) = 16. Can someone pls help me

Mathematics
1 answer:
lidiya [134]3 years ago
8 0

Answer:

-2 is your answer

Step-by-step explanation:

First, you get 2/3 and distribute it into the parentheses that gives you

4-6x=16

now you subtract 4 on both sides leaving you with

-6/-6 which cancels out you have

12/-6 whigh is -2 and that is your answer

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Answer:   \bold{y=-\dfrac{1}{3}x-1}

<u>Step-by-step explanation:</u>

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\

Next, find the midpoint of (4, 1) and (2, -5):

Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\


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at a concert 25% of the audience members were teenagers. if the number of teenagers at the concert was 120, what was the total n
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How do you write out exponential growth of <br> 4=314(1.15)^x
NikAS [45]

Answer:

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Step-by-step explanation:

Let's solve your equation step-by-step.

4=314(1.5x)

Step 1: Flip the equation.

314(1.5x)=4

Step 2: Divide both sides by 314.

314(1.5x)/314

=

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Step 3: Solve Exponent.

1.5x=2/157

log(1.5x)=log(2/157)(Take log of both sides)

x*(log(1.5))=log(2/157)

x=

log(2/157)

log(1.5)

x=−10.760725

Answer:

x=−10.760725

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Step-by-step explanation:

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