Answer:
Step-by-step explanation:
Answer:
y = (1/2)x + 2
Step-by-step explanation:
Find the slope:
Take the rise over run to find this- For every unit it goes up, it goes two units across, so it will be (1/2)
Find the y-intercept:
This is the value of y where the line intersects the y-axis- (0,2), so 2
Substitute these values in for m and b:
y = mx + b
y = (1/2)x + 2
Hope that helps! :)
Answer: 1.18
Step-by-step explanation:
Z = (x - mean) / standard deviation
Z = (85 - 71.4) / 11.5
Z = 13.6 / 11.5 = 1.18
Perpendicular lines have negative reciprocal slopes. So if the slope is -2/5...to find the negative reciprocal, " flip " the slope and change the sign.
So we flip -2/5 and we get 5/-2...and now we change the sign...and we get 5/2. So our perpendicular slope will be 5/2.
Answer: (2 1/2, 0) (the last option)
Step-by-step explanation:
I guess the function is:
f(x) = (2 1/2) - (3 1/2)*x
now, the rule for f-1(x) that we know is:
f-1( f(x) ) = x.
So if we want to find the x-intercept of f-1(x), we must evaluate it in f(0)
f-1(f(0)) = 0.
And we have that f(0) = (2 1/2) - (3 1/3)*x = 2 1/2
This means that the x-intercept of f-1(x) will be when x= 2 1/2, so the intercept is:
(2 1/2, 0)
