Find the inverse of the matrix (if it exists).A = 

A. No solution

B. A-1 = 

C. A-1 = 

D. A-1 = 


Answer: B

Mathematics

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Work the application. Write a legend and an equation. Solve the equation and answer in a complete sentence.The billing department in a large company had $15,671 in its annual supplies budget. So far this year the department has purchased a computer system for $4851, new furniture for $2208, and various office supplies for $575. Rina's job is to update the department's budget. How much is left in the department's supplies budget after these purchases?

A. Let b = the amount of money left in the supplies budget. $4851 + $2208 + $575 = $15,671 + b There is $7634 left in the supplies budget. B. Let b = the amount of money left in the supplies budget. $4851 + $2208 + $575 + b = $15,671 There is $8612 left in the supplies budget. C. Let b = the amount of money left in the supplies budget. $4851 + $2208 + $575 + b = $15,671 There is $8037 left in the supplies budget. D. Let b = the amount of money left in the supplies budget. $4851 + $2208 + $575 = $15,671 + b There is $10,245 left in the supplies budget.

Mathematics

Simplify by writing the expression with positive exponents. Assume that all variables represent nonzero real numbers.2

A.
B.
C.
D.

Mathematics

Solve the problem.Bruce is a retired carpenter who builds patio chairs and dog houses which he sells at his local flea market. It takes him 4 hours to build a dog house and 5 hours to build a patio chair. Bruce can work no more than 40 hours per week and he must produce more dog houses than chairs. Use a system of inequalities to describe this situation and solve the system by graphing. Use D for the number of dog houses and P for the number of patio chairs produced in a week. 

A.

B.

C.

D.

Mathematics

Solve the problem.A weight hangs from a rope 20 feet long. It swings through an angle of 27° each second. How far does the weight travel each second? Round to the nearest 0.1 foot.

A. 8.7 feet B. 9.4 feet C. 9.0 feet D. 8.1 feet

Mathematics