Which number is greater than the absolute value of -5/9 a -1. b -2/3. c 7/4. d 4/7. and how ?

the absolute value of  -5/9, written |-5/9|,  =  5/9.

Checking:-

5/ 9 =  0.55...

4/7 =  0.57

7/4 =  1.75

So C and  D are greater than  absolute value of -5/9.

stop cheating

step-by-step explanation:

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