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ruslelena [56]
3 years ago
11

Through: (-4,-3), slope = 1 Standard form from a point and a slope

Mathematics
1 answer:
morpeh [17]3 years ago
8 0

Answer:

y=-4/-3x+1

Step-by-step explanation:

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The area of a rectangle is 256.5m2. if the length is 18m, what is the perimeter of the rectangle
Vlad [161]
256.5/18= 14.25

(14.25x2)+(18x2)= 64.5m
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3 years ago
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The population of Detroit, Michigan, decreased from 1,027,974 in 1990 to 688,701 in 2013 (Source: U.S. Census Bureau). Find the
AleksandrR [38]

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

to get the slope of any straight line, we simply need two points off of it, so let's use the ones provided in that

\begin{array}{|cc|ll} \cline{1-2} \stackrel{years}{x}&\stackrel{population}{y}\\ \cline{1-2} 1990&1027974\\ 2013&688701\\ \cline{1-2} \end{array}\hspace{5em} (\stackrel{x_1}{1990}~,~\stackrel{y_1}{1027974})\qquad (\stackrel{x_2}{2013}~,~\stackrel{y_2}{688701}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{688701}-\stackrel{y1}{1027974}}}{\underset{run} {\underset{x_2}{2013}-\underset{x_1}{1990}}} \implies \cfrac{-339273}{23}\implies -14751\qquad \stackrel{rate~of}{change}

let's notice, is negative since the population decreased.

5 0
2 years ago
PLEASE HELP URGENT 10 POINTS
snow_tiger [21]
All are correct

Explanation:since in none of the answers share the same the same X value and since the graph passes the vertical line test it is a function
8 0
2 years ago
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A simple linear regression analysis was conducted to predict the Exam 3 score of students in STA 2023 based on their Exam 1 scor
Katena32 [7]

Answer:

Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

Step-by-step explanation:

We are given the following in the equation:

A simple linear regression analysis was conducted to predict the Exam 3 score of students in STA 2023 based on their Exam 1 score.

Thus, Exam 3 score becomes the dependent variable and exam 1 score is the independent variable.

The regression equation is given by:

\hat{y} = 50.57+0.4845x

Comparing the equation to a linear equation:

y = mx + c

m = 0.4845

c = 50.57

Where m is the slope and tells the rate of change and c is the y intercept that is the value of y when x is 0.

When, there is a increase in x, we can write:

\hat{y}(x) = 50.57+0.4845x\\\hat{y}(x+1) = 50.57+0.4845(x+1)\\\hat{y}(x+1) - \hat{y}(x) = 50.57+0.4845(x+1)-(50.57+0.4845x)\\\hat{y}(x+1) - \hat{y}(x) = 0.4845

Thus, the slope of equation can be interpreted as:

Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

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3 years ago
If the correlation between variable a and variable b is .20, then variable a explains _____ of the variance in variable
timofeeve [1]

The answer would be b. I think.

4 0
3 years ago
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