Graph the equations to solve the system y=-x-2 y=2x+4

The solution is (-2, 0).

It is very easy to graph these two equations. You have the y-intercept for the first equation which is -2, and the slope -1/1. The y-intercept for the second equation is 4, and the slope is 2/1.

When you graph these two equations, you will see that they intersect at the point (-2,0); this is the answer.

answer: .64

step-by-step explanation

set up the formula for standard deviation for this set of numbers, then simplify

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.