If you were asked to describe how you would solve for an unknown value in an equation, how would you explain that process? Give it a try here, using the equation
given as a step by step example to go along with your explanation. Be as detailed as
possible for each step of the solution.
3(x - 2) = 5x – 14

4

Step-by-step explanation:

3(x - 2) = 5x - 14      (given)

3x -6 = 5x -14          (Distribute the "3" to "x" and "2")

-2x -6 = -14              (subtract "5x" from both sides)

-2x = -8                    (Subtract "-6" from both sides)

x = 4                         (divide both sides with "-2")

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

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.