Choose the correct words from the drop-down menu to make a true statement about the system of equations. y = 1/3x + 2
–x + 3y = 6

Using substitution, the system has choose
A. No solution

B. One solution

C. Infinitely many solutions

C

Step-by-step explanation:

Given the 2 equations

y = x + 2 → (1)

- x + 3y = 6 → (2)

Substitute y = x + 2 into (2)

- x + 3( x + 2) = 6 ← distribute left side

- x + x + 6 = 6, that is

6 = 6 ← True

This statement indicates the system has infinitely many solutions

step-by-step explanation:

in which figure is point g a centroid

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.