Solve system of equation.

2x+y=10

-2x+2y=5

The solution point is (2.5, 5)

Step-by-step explanation:

This is one of the very first steps you need to take in order to solve 2 equations with 2 unknowns. This does not require that you make any adjustments.

2x + y  =  10

-2x +2y = 5        Just add. The xs cancel.

3y = 15                Divide by 3

3y/3 = 15/3

y = 5

Now use one of the equations (the top one is easier) to solve for x

2x + y = 10      Substitute y = 5

2x + 5 = 10      Subtract 5

2x +5-5 = 10-5  

2x = 5              Divide by 2

x = 2.5

The solution point is (2.5 , 5)

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

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.