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anastassius [24]
3 years ago
12

5 - 3 x = 2 - 6 (X + 2)​

Mathematics
1 answer:
STatiana [176]3 years ago
3 0

Answer:

X = -5

Step-by-step explanation:

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angle ABC is a parallel to angle DEF

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Please help will mark brainlyist and 10 points if right
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7y-y=30 show work for it!
Anarel [89]

Answer:

y=5

Step-by-step explanation:

7y-y=6y

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Solve each equation, if possible. Write irrational numbers in simplest radical form. Describe the strategy you used to get your
damaskus [11]
1)
x^2 + 4 = 0      Subtract 4 from each side
x^2 = -4           
You cannot square a number to get a negative number. No real solution. (If you have learned about imaginary numbers, answer is 2i)

2)
<span>x^2+x-6=0        Factor. 3 and -2 add up to 1, and multiply to -6
(x+3)(x-2) = 0   
Zero Product Property: Which numbers would put a zero in one of the parentheses?
x = -3 or x=2

3) </span><span>x^2-6x+7=0         
Completing the Square:
Take half of b (-6), square it, and add/subtract that coefficient
x^2 - 6x + 9 - 9 + 7 = 0
(x -3)^2 - 2 = 0         Add 2 to both sides
(x-3)^2</span> = 2               Take the square root of both sides
<span>(x-3) = </span>√2 or -√2       Add 3 to both sides
<span>x = 3 + </span>√2 or 3 - √2<span>

</span>
6 0
3 years ago
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The data below represent the number of days​ absent, x, and the final​ grade, y, for a sample of college students at a large uni
Zina [86]

Answer:

The equation of the regression line is: y~=~88.518 ~-~ 3.068 \cdot x

Step-by-step explanation:

Linear regression is a linear approach to modelling the relationship between a dependent variable and one or more independent variables.

Let X be the independent variable and Y be the dependent variable. We will define a linear relationship between these two variables as follows:

Y=bX+a

We have the the following data:

\begin{array}{c|cccccccccc}No. \:of \:absences,\:x&0&1&2&3&4&5&6&7&8&9\\Final \:grade, y&88.5&85.7&82.8&80.3&77.4&73.1&63.6&68.1&65.2&62.4\end{array}

To find the line of best fit for the points, follow these steps:

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

Step 2: Find the sum of every column:

\sum{X} = 45 ~,~ \sum{Y} = 747.1 ~,~ \sum{X \cdot Y} = 3108.8 ~,~ \sum{X^2} = 285

Step 3: Use the following equations to find intercept a and slope b:

\begin{aligned}        a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 747.1 \cdot 285 - 45 \cdot 3108.8}{ 10 \cdot 285 - 45^2} \approx 88.518 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 10 \cdot 3108.8 - 45 \cdot 747.1 }{ 10 \cdot 285 - \left( 45 \right)^2} \approx -3.068\end{aligned}

Step 4: Assemble the equation of a line

\begin{aligned} y~&=~a ~+~ b \cdot x \\y~&=~88.518 ~-~ 3.068 \cdot x\end{aligned}

The graph of the regression line is:

4 0
3 years ago
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