Determine whether the statement is sometimes, always, or never true.

If ax + b - 4 = b and a doesn't = 0 then x = 4/a

sometimes
always
not enough information provided
never

  always true

Step-by-step explanation:

Adding 4-b to both sides of the equation gives ...

  ax = 4

Then dividing by "a" gives ...

  x = 4/a

This is always true when a≠0.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

there are infinitely many solutions.