Find the slope of the line through the points and interpret the slope. 

A. ; for every 3-unit increase in x, y will increase by 1 unit
B. -3; for every 1-unit increase in x, y will decrease by 3 units
C. - ; for every 3-unit increase in x, y will decrease by 1 unit
D. 3; for every 1-unit increase in x, y will increase by 3 units


Answer: A

Mathematics

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Find T, N, and B for the given space curve.r(t) = (cosh t)i + (sinh t)j + tk 

A. T = - (tanh t)i  + j  + (sech t)k; N = (-sech t)i  - (sinh t)k  ; 
B. T = (tanh t)i  + j  + (sech t)k; N = (sech t)i  - (tanh t)k
C. T = -  (tanh t sech t)i  + j  + (sech t)k; N = (-sech t)i  - (tanh t)k
D. T = (tanh t sech t)i  + j  + (sech t)k; N = (sech2 t)i  - (sinh t)k;  

Mathematics

Find the median of the following set of test score data: 55, 57, 60, 62, 65, 68, 71, 75, 77, 80, 81, 84, 87, 90, 92, 95, 98, 100.

a. 45.3 b. 77.6 c. 78.5 d. 81.3

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Find the domain and the vertical asymptote of the function.f(x) = ln (6 - x)

A. Domain: (-?, -6); vertical asymptote: x = -6 B. Domain: (-6, ?); vertical asymptote: x = -6 C. Domain: (-?, 6); vertical asymptote: x = 6 D. Domain: (6, ?); vertical asymptote: x = 6

Mathematics

Find the inverse of the function.f(x) = x + 7

A. f-1(x) = x + 5
B. f-1(x) = 5x - 35
C. f-1(x) = x - 7
D. f-1(x) = 5x + 35

Mathematics