Solve the system. 4x + y = 5 9x + 5y = 3
A. {(2, -3)}
B. ?
C. {(-3, 2)}
D. {(-3, -2)}
Answer: A
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Determine whether the given value is a solution to the given equation.Is 1.7 a solution to 4.8 + x = 8.2 - x?
A. Yes B. No
Rationalize the denominator and simplify.
A.
B.
C.
D. 1
Graph the function, and state its domain and range.f(x) = x3
A. Domain: (-?, ?); Range: (-?, ?)
B. Domain: (-?, ?); Range: (-?, ?)
C. Domain: (-?, ?); Range: (-?, ?)
D. Domain: (-?, ?); Range: (-?, ?)
Consider the statement
For all sets A and B, (A ? B) ? B = ?.
Complete the proof begun below in which the given statement is derived algebraically from the properties listed in Theorem 6.2.2. Be sure to give a reason for every step that exactly justifies what was done in the step:
Proof:
Let A and B be any sets. Then the left-hand side of the equation to be shown is
which is the right-hand side of the equation to be shown. [Hence the given statement is true.]
(The number of lines in the outline shown above works for one version of a proof. If you write a proof using more or fewer lines, be sure to follow the given format, supplying a reason for every step that exactly justifies what was done in the step.)