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lina2011 [118]
2 years ago
11

What is the slope of a line that goes through the points (-3, 4) and (2, 8) ?

Mathematics
1 answer:
skad [1K]2 years ago
3 0

Step-by-step explanation:

Slope = y2-y1 / X2-x1

= 8-4/2-(-3)

=4/5

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A bivariate data set has x = 21, sx = 13, y = 55, sy = 27, and r = .88. What is the equation for the regression line of y on x?
earnstyle [38]

Answer:

c) y=16.57+1.83x

Step-by-step explanation:

Equation for regression line of y on x is given as

\hat{y}=mx+b --- (1)

where

\hat{y} = predicted value

m = slope of line

b = intercept

m and b are found as

m=r\frac{S_{y}}{S_{x}}---(2)\\\\b=\bar{y}-m\bar{x}---(3)

r = correlation coefficient = 0.88

Sx = standard deviation for independent variable x = 13

Sy = standard deviation for dependent variable y = 27

\bar{x} = mean value of independent variable x = 21

\bar{x} = mean value of dependent variable y = 55

Substituting these values in (2) and (3)

m=r\frac{S_{y}}{S_{x}}\\\\m=(0.88)\frac{27}{13}\\\\m=1.83

b=\bar{y}-m\bar{x}\\\\b=55-(1.827)(21)\\\\b=16.57

Putting these values of m and b in (1)

y=1.83x+16.57

5 0
3 years ago
I have a super hard question and i need help<br><br> what is <img src="https://tex.z-dn.net/?f=5%5E%7B2%7D" id="TexFormula1" tit
Nastasia [14]

Answer:

5^{2} = 25 :) hope this helps

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Can someone help me please
ANTONII [103]
B.) 85

They are alternate interior angles so they are the same degree.
3 0
3 years ago
I need help please and thank you!!
ASHA 777 [7]

Answer:

its D

Step-by-step explanation:

8 0
3 years ago
Based on the graph given for f (x) construct the graph of f¹ (x). for f (x) find E, F and the formula of f (x) when it is known
Lostsunrise [7]

Answer:

To find an inverse function, reflect a graph of a function across the line y=x (and find the resulting equation)

To reflect a linear function in the line y=x, find points on f(x) and then swap their x and y coordinates.

Points on f(x):  (0, -4)  (2, 0)  (5, 6)

Points reflected in line y=x:  (-4, 0)  (0, 2)  (6, 5)

Plot points (-4, 0)  (0, 2)  (6, 5) and connect to form a straight line - this is the inverse of the function:  f^{-1}(x)

To determine the equation of f(x):

Choose 2 points on f(x):  (5, 6) and (0, -4)

Calculate the slope (gradient) by using:

m=\dfrac{\triangle y}{\triangle x}=\dfrac{y_2-y_1}{x_2-x_1}=\frac{6--4}{5-0}=2

Using the slope-intercept form:  y = mx + b

(where m is the slope and b is in the y-intercept)

From inspection of the graph, we can see the line crosses the y-axis at -4,

⇒ f(x) = 2x - 4

As the line is actually a line segment (with endpoints (0, -4) and (5, 6), then

f(x) = 2x - 4,   0 ≤ x ≤ 5

To determine the equation of f^{-1}(x):

Rewrite f(x)  as  y = 2x - 4

Swap the x and y:  x = 2y - 4

Rearrange to make y the subject: y= \dfrac{1}{2}(x + 4)

Replace y with f^{-1}(x)

So the equation of the inverse is:   f^{-1}(x)= \dfrac{1}{2}(x + 4)

As the original function is a segment, then

f^{-1}(x)= \dfrac{1}{2}(x + 4), \ \ \ -4\leq x\leq 6

(shown in blue on the attached diagram)

** I can't see any points labelled E and F on the original function. If they are the endpoints of the line segment of f(x), then they are (0, -4) and (5, 6) **

4 0
2 years ago
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