Solve the problem.The following is known about three numbers: If the second number is subtracted from the sum of the first number and 3 times the third number, the result is -7. The third number plus 2 times the first number is -2. The first number plus 5 times the second number plus the third number is 3. Find the three numbers.[Hint: let x represent the first number, y the second number, and z the third number. Use the given conditions to write and solve a system of equations.]
A. x = 1, y = 2, z = -2
B. x = 0, y = 0, z = 3
C. x = -1, y = 1, z = 0
D. x = 0, y = 1, z = -2
Answer: D
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Solve the problem.A couple have bought a new house and are comparing quotes from two moving companies for moving their furniture. Company A charges $100 for the truck and $45 per hour for the movers. Company B charges $90 for the truck and $60 per hour for the movers. Create a cost equation for each company where y is the total cost and x is the number of hours of labor. Write a system of equations.
A. 45y = x + 100 60y = x + 90 B. y = 45x + 100 y = 60x + 90 C. 45y = 100x 60y = 90x D. y = 100x + 45 y = 90x + 60
Evaluate the integral.
dx
A. 
+ ln
+ 
+ C
B. 
+ 
+ C
C. (x + 2)2 tan-1 2x + ln
+ 
+ C
D. 
+ ln
- 
+ C
Simplify.
A. 
B. 
C. 
D. 
Multiply. 2 ? (-7)
A. -14 B. -5 C. 14 D. 5