To solve the equation 3x-7=x-2, alex says the first step is to subtract x from both sides. danny says the first step is to add 7 to both sides.
a. solve the equation using alex's method of first subtracting x from both sides.
b. solve the equation using danny's method of first adding 7 to both sides.
c. who is correct, alex or danny? justify your answer.
d. is there another correct first step for solving this equation? if so, identify it and use it to solve the equation. if not, explain why not.

Step-by-step explanation:

Given : Equation

To find : Solve the equation ?

Solution :

a) Solve the equation using Alex's method of first subtracting x from both sides.

Equation

Subtract x from both side,

b) Solve the equation using Danny's method of first adding 7 to both sides.

Equation

Adding 7 from both side,

c) Both are correct in their ways.

d) Is there another correct first step for solving this equation? If so, identify it and use it to solve the equation. If not,explain why not.

Equation

We can isolate the terms as like terms place together,

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

180

step-by-step explanation: