At a certain software company, the cost, C , of developing and producing a computer software program is related to the number of copies produced, x , by the equation C= 30000+2x . The company's total revenues, R , are related to the number of copies produced, x , by the equation R=6x-10000 . How many copies must the company produce so that the total revenue is equal to the cost?

If f(x)=x^2+x and g(x) = \sqrt{x} , then f(g(3)) =

In a triangle, if a=\sqrt{2} ,b=2 , \sin B+\cos B=\sqrt{2} , prove A=\dfrac{\pi }{6}

Given a^{1/2}+a^{-1/2}=3 ,find the value of \dfrac{a^2+a^{-2}+1}{a+a^{-1}-1}

In the figure, the area of quadrilateral ABCD is

Which of the following lines is parallel to y = -2x+3 and has a y-intercept of 4

In the figure, the length of AC is 3 times the length of CD . If B is the midpoint of AC , and the length of CD is 5, what is the length of BD ?

\dfrac{6!}{2!3!}=

What is the solution set for the equation |2x-3| = 13 ?

Which of the ordered pairs is the solution to the equations

\begin{cases} x+2y=5 & \\ x-2y=9 & \end{cases}

If a\downarrow b=\sqrt[b]{a} , 10 \downarrow 3 =