Enter the value of n so that the expression (-8y + 3) + (2y – 9) is equivalent to (ny – 6).

Give the equations of two different lines that are perpendicular to the line 3x + 4y = 7.

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe