Problem 96
Determine whether the statement is true or false. The conjugate of a sum is the sum of the conjugates of the individual complex numbers.
Problem 115
One number is 5 greater than another. The product of the numbers is \(36 .\) Find the numbers.
Problem 128
The cost of a 30 -sec Super Bowl ad has increased more than \(70 \%\) since \(2004 .\) The function $$C(x)=0.17 x+2.25$$ can be used to estimate the cost of a 30 -sec ad, in millions of dollars, \(x\) years after 2004 (Source: Katar Media ). Use this function for Exercises 127 and \(128\). When will the cost of a 30 -sec Super Bowl ad reach 5.0 million dollars?
Problem 129
Determine whether the graph is symmetric with respect to the \(x\) -axis, the \(y\) -axis, and the origin. $$3 x^{2}+4 y^{2}=5$$
Problem 131
Determine whether the function is even, odd, or neither even nor odd. $$f(x)=2 x^{3}-x$$
Problem 137
Solve. $$(x-2)^{3}=x^{3}-2$$