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3 years ago

What is the correct answer for this equation: -7(6+8v)=6-8v

Mathematics

2 answers:

lara31 [8.8K]3 years ago

7 0

Let's solve your equation step-by-step

-7(6+8v)=6-8v

Step 1 :Simplify both sides of the equation

-7(6+8v)=6-8v

(-7)(6)+(-7)(8v) =6+-8v(distribute)

-42+-56v=6+-8v

-56v-42=-8v+6

Step 2 : Add 8v to both sides

-56v-42+8v=-8v+6+8v

-48v-42=6

Step 3: Add 42 to both sides

-48v-42+42=6+42

-48v=48

Step 4: Divide both sides by -48

-48v/-48 =48/-48

Answer: V=-1

Anuta_ua [19.1K]3 years ago

5 0

The answer would be v = -1

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Given the data points, (x, y) of a linear function: (2, 11), (4, 10), (6, 9), (12, 6), what is the function? What is the slope?

NeX [460]

Answer:

The function is $y~=~12 ~-~ 0.5 \cdot x$ .

The slope is $m=-0.5$ .

The y-intercept is $b=12$ .

Step-by-step explanation:

Our aim is to calculate the values m (slope) and b (y-intercept) in the equation of a line :

$y=mx+b$

We have the following data:

$\begin{array}{c|cccc}x&2&4&6&12\\y&11&10&9&6\end{array}$

To find the line of best fit for the points given, you must:

Step 1: Find $X\cdot Y$ and $X\cdot X$ as it was done in the table below.

Step 2: Find the sum of every column:

$\sum{X} = 24 ~,~ \sum{Y} = 36 ~,~ \sum{X \cdot Y} = 188 ~,~ \sum{X^2} = 200$

Step 3: Use the following equations to find b and m:

$\begin{aligned} b &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 36 \cdot 200 - 24 \cdot 188}{ 4 \cdot 200 - 24^2} \approx 12 \\ \\m &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 4 \cdot 188 - 24 \cdot 36 }{ 4 \cdot 200 - \left( 24 \right)^2} \approx -0.5\end{aligned}$