Write the best-fit linear model for the data.Two different tests are designed to measure employee productivity and dexterity. Several employees are randomly selected and tested with these results. Find the linear function to model this data.  

A. y = 5.05 + 1.91x
B. y = 10.7 + 1.53x
C. y = 2.36 + 2.03x
D. y = 75.3 - 0.329x


Answer: A

Mathematics

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Solve the problem.The energy loss E (in joules/kilogram) due to friction when water flows through a pipe is given by E = 0.020(L/D)v2. In the formula, L is the pipe length (in m), D is the pipe diameter (in m), and v is the water velocity (in m/s). Find a formula for the instantaneous rate of change of energy with respect to velocity.

A. dE/dv = 0.020(L/D)v B. dE/dv = (L/D)v C. dE/dv = 0.040(L/D)v D. dE/dv = 0.040(L/D)v2

Mathematics

Use the linear approximation (1 + x)k ? 1 + kx, as specified.Find an approximation for the function f(x) = (1 - x)5 for values of x near zero.

A. f(x) ? 1 - 5x B. f(x) ? 5 + 5x C. f(x) ? 1 + 5x D. f(x) ? 1 + 6x

Mathematics

Use the Venn diagram below to determine the probability.P(C')

A.
B.
C.
D.

Mathematics

The graph and equation of a polynomial f(x) are given. Determine the number of real zeros and the number of imaginary zeros.f(x) = x3 + 2x2 - 9x - 18

A. One real zero; two imaginary zeros B. Three real zeros; two imaginary zeros C. Three real zeros; three imaginary zeros D. Three real zeros; no imaginary zeros

Mathematics