Decide whether the statement is true or false. If it is false, tell why.If k is a prime number, then x2 = k will have two rational solutions.

A. True
B. False; the solutions will be irrational because a prime number cannot be a perfect square.
C. False; the equation will have no real number solutions.


Answer: B

Mathematics

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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 $80 for the truck and $50 per hour for the movers. Company B charges $60 for the truck and $55 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. y = 80x + 50 y = 60x + 55 B. 50y = x + 80  55y = x + 60 C. 50y = 80x   55y = 60x D. y = 50x + 80 y = 55x + 60

Mathematics

Use transformations of the graph of y = x4 or y = x5 to graph the function.f(x) = (x + 2)5 + 4 

A.

B.

C.

D.

Mathematics

Use properties of logarithms to expand the logarithmic expression as much as possible. log5

A. log57 - log5n - log5m
B.  log57 - 2 log5n - log5m
C. 4 log57 - 2 log5n - log54
D.  log57 - 2 log5n - 2 log5m

Mathematics

One of sin x, cos x, and tan x is given. Find the other two if x lies in the specified interval.tan x = 1,x in 

A. sin x = , cos x = - 
B. sin x = - , cos x = - 
C. sin x = , cos x = 
D. sin x = - , cos x = 

Mathematics