Solve the problem.The width of a rectangle is 6 feet less than twice its length. If its area is 140 square feet, find the dimensions of the rectangle.
A. length: 10 ft; width: 14 ft
B. length: 3 ft; width: 
ft
C. width: 10 ft; length: 14 ft
D. length: 7 ft; width: 8 ft
Answer: A
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Show that the set has cardinal number ?0 by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in the sets.{7, 12, 17,22, ...}
A.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
| { | 7, | 12, | 17, | 22, | ..., | 5n + 1, | ...} |
B.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
| { | 7, | 12, | 17, | 22, | ..., | 4n - 1, | ...} |
C.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
| { | 7, | 12, | 17, | 22, | ..., | 4n + 2, | ...} |
D.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
| { | 7, | 12, | 17, | 22, | ..., | 5n + 2, | ...} |
The matrix associated with the solution to a system of linear equations in x, y, and z is given. Write the solution to the system, if it exists.
A. x =-3, y = 3, z = 1 B. x = -1, y = 1, z = 3 C. x = -1, y = 3, z = 1 D. x = 1, y = -1, z = 3
Find the rate of change of y with respect to x at the given values of x and y.
A study prepared for a Sunbelt town's Chamber of Commerce projected that the population of the town in the next 3 yr will grow according to the rule
?
whereP(x) denotes the populationxmo from now.
?
By how much will the population increase during the next 9 mo?
?
__________
?
During the next 16 mo?
?
__________
What will be an ideal response?