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4 years ago

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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Some types of algae have the potential to cause damage to river ecosystems. Suppose the accompanying data on algae colony densit

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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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

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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:

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4 years ago