Find the value of r in(4,r) (r,3) so that the slope of the line containing them is 0
1 answer:
Answer:
r = 3.
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
In which m is the slope.
Finding the slope of a line, given two points:
When we are given two points of a line, the slope of the line is given by the change in y divided by the change in x.
Points (4,r), (r,3)
Change in y: 3 - r
Change in x: r - 4
Slope is 0, so:
The value is r = 3.
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Answer:
a. 73; b. 48.9; c. 2; d. 33.8; e. 73
Step-by-step explanation:
Assume the function was
S(t)= 73 - 15 ln(t + 1), t ≥ 0
a. Average score at t = 0
S(0) = 73 - 15 ln(0 + 1) = 73 - 15 ln(1) = 73 - 15(0) =73 - 0 = 73
b. Average score at t = 4
S(4) = 73 - 15 ln(4 + 1) = 73 - 15 ln(5) = 73 - 15(1.61) =73 - 24.14 = 48.9
c. Average score at t =24
S(24) = 73 - 15 ln(24 + 1) = 73 - 15 ln(25) = 73 - 15(3.22) =73 - 48.28 = 24.7
d. Percent of answers retained
At t = 0. the students retained 73 % of the answers.
At t = 24, they retained 24.7 % of the answers.
e. Maximum of the function
The maximum of the function is at t= 0.
Max = 73 %
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