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Mrac [35]
4 years ago
6

Determine the quadratic function of 2,-3/5

Mathematics
1 answer:
Tanzania [10]4 years ago
6 0

I guess you mean that the zeroes are 2 and -3/5.

In factor form the function  could be

f(x) = (x - 2)(3x + 5)

expanding we get

f(x) = 3x^2 -x - 10  

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kondor19780726 [428]

Answer:

The equation of the regression line is:

y~=~234.56158 ~-~ 2.95835 \cdot x

Step-by-step explanation:

The Least Squares Regression Line is the line that makes the vertical distance from the data points to the regression line as small as possible. It’s called a “least squares” because the best line of fit is one that minimizes the variance.

We have the following data:

\begin{array}{c|ccccccccc}X&50&55&50&79&44&37&70&45&49\\Y&152&48&22&35&43&171&13&185&25\end{array}

To find the line of best fit for the points:

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

Step 2: Find the sum of every column:

\sum{X} = 479 ~,~ \sum{Y} = 694 ~,~ \sum{X \cdot Y} = 32784 ~,~ \sum{X^2} = 26897

Step 3: Use the following equations to find a and 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{ 694 \cdot 26897 - 479 \cdot 32784}{ 9 \cdot 26897 - 479^2} \approx 234.56158 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 9 \cdot 32784 - 479 \cdot 694 }{ 9 \cdot 26897 - \left( 479 \right)^2} \approx -2.95835\end{aligned}

Step 4: Assemble the equation of a line

\begin{aligned} y~&=~a ~+~ b \cdot x \\y~=~234.56158 ~-~ 2.95835\cdot x\end{aligned}

The graph of the regression line is:

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4 years ago
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Harlamova29_29 [7]

Answer:

17: Slope = -5

18: = 1/3

19: = -1/5

20: = Does not exist

21: = 1/4

22: =-2/3

Step-by-step explanation:

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3 years ago
What is 4X + 7y =14 in y=form
nydimaria [60]

Answer: y=2

Step-by-step explanation:

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4 years ago
If I had 10 1/4. cups of flour I only have 4 1/2 cups of flour no
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3 years ago
a football team had 50 players at the start of the season, but then some players left the team. After that, the team had 42 play
wel

Answer:

50 = p + 42

Step-by-step explanation:

The unknown part of this equation is the variable p, the number of people that left. So you want to add p to 42 and that will give you the total number of football players, which is 50. In order to get p, you need to get it by itself and make it equal something. Subtract 42 from both sides and you are stuck with 50-42 = p

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