Answer:
Step-by-step explanation:
- Our equation is
- Now there are 2 ways you can do this, I'll show you the shortcut
- If you have an equation like this, just take the value in parenthesis and equate it to zero
is the x of the vertex- Put this back into the equation
this is the y
9, 14, and 22.
The formula for checking if a triangle will work is side a + side b > side c.
The only one that works is 9, 14, and 22.
Answer:
the slope of the regression equation for predicting our Exam 2 scores from Exam 1 scores is 0.492
And the y-intercept of the regression equation for predicting our Exam 2 scores from Exam 1 is 33.688
Step-by-step explanation:
Given the data in the question;
mean X" = 86
SD σx = 10
Y" = 76
SD σy = 8.2
r = 0.6
Here, Exam 2 is dependent and Exam 1 is independent.
The Regression equation is
y - Y" = r × σy/σx ( x - x" )
we substitute
y - 76 = 0.6 × 8.2/10 ( x - 86 )
y - 76 = 0.492( x - 86 )
y - 76 = 0.492x - 42.312
y = 0.492x - 42.312 + 76
y = 0.492x + 33.688
Hence, the slope of the regression equation for predicting our Exam 2 scores from Exam 1 scores is 0.492
And the y-intercept of the regression equation for predicting our Exam 2 scores from Exam 1 is 33.688
Answer:
The second stove had a higher temperature when the stoves were turned off.
The first stove cooled down at a faster rate.
Step-by-step explanation:
first stove: T(t) = 180 - 2.55t can also be written as T(t) = -2.55t + 180
(180 is the y-intercept; -2.55 is the slope)
second stove = T(t) = mt + 200
(0,200) (40,130)
= 
= 
= -1.5
T(t) = -1.5t + 200
Answer:
First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.
Step-by-step explanation:
