Find the average value of the function f over the given region.f(x, y) = ; R = {(x, y): 1 ? x ? 7, 1 ? y ? 7}

A.
B. 2
C. 2
D.


Answer: B

Mathematics

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Find the logarithm. Give an approximation to four decimal places.log 0.0820

A. -2.5010 B. -1.0915 C. -1.0809 D. -1.0862

Mathematics

Graph the linear equation by finding and plotting its intercepts.y = -3x + 8

A.


B.


C.


D.


Mathematics

Graph the given function. Identify the vertex and the intercepts.y = 3x - 20 + 2x2

A. Vertex: 
x-intercepts: 4 and - 
y-intercept: -20

B. Vertex: 
x-intercepts: -4 and
y-intercept: -20

C. Vertex: 
x-intercepts: -4 and 5
y-intercept: -20

D. Vertex: 
x-intercepts: -4 and 
y-intercept: 0, 20

Mathematics

Solve the problem.The marriage rate in a certain country in 1990 was 0.9%, and there were about 435,000 marriages that year. Use the model M(t) = M0(1 + r)t, with a constant marriage rate and t = 0 corresponding to 1990 to estimate the year in which the number of marriages will be 1 million.

A. 2000 B. 2340 C. 2093 D. 2083

Mathematics