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PilotLPTM [1.2K]

3 years ago

9

Plz answer this question:

1 answer:

d1i1m1o1n [39]3 years ago

6 0

Yes, Lord Vader !

   2/3 x + 5   = 1/2

Multiply each side by 2 :    4/3 x + 10 = 1

Multiply each side by 3 :    4 x + 30 = 3 <== equivalent equation
      without fractions

Subtract 30 from each side: 4x   = -27

Divide each side by 4 : x      = -27/4 = -6.75

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N is an integer such that 3n + 4 < 19 and

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

3n+4<19

3n<19-4

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Whats the slope intercept form for the points [5,2] and [0,-1]

Advocard [28]

Answer:

$\displaystyle y=\frac{3}{5}x-1$

Step-by-step explanation:

<u>The Equation of a Line</u>

The equation of the line in slope-intercept form is:

$y=mx+b$

Where m is the slope and b the y-intercept.

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

$\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

We are given the points (5,2) and (0,-1), thus:

$\displaystyle y-2=\frac{-1-2}{0-5}(x-5)$

Operating:

$\displaystyle y-2=\frac{-3}{-5}(x-5)$

$\displaystyle y-2=\frac{3}{5}(x-5)$

To find the slope-intercept form, we continue to simplify the expression:

Removing the parentheses:

$\displaystyle y-2=\frac{3}{5}x-\frac{3}{5}\cdot 5$

$\displaystyle y-2=\frac{3}{5}x-3$

Adding 2:

$\displaystyle y=\frac{3}{5}x-3+2$

$\mathbf{\displaystyle y=\frac{3}{5}x-1}$

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Step-by-step explanation:

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