Determine the values of m and n for which the function f(x)= mx^4 + nx^3 + 68x^2-x-6 gives a remainder of zero when divided by (2x+1) and (4x-1). Explain your process.

Given f(x)= 9x+1 and g(x)=x^3, choose the expression (f*g)(x)

Which graph represents the equation y =4x

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?