Which numbers are a distance of 0.9 units from −2 on this number line? a number line with increments of .5 with a range of negative 4 to 2 select each correct answer. −3.5 −3.1 −2.9 −1.1 −0.5 1.1

−2.9 and −1.1

Step-by-step explanation:

Let x be an unknown number.

It is given that an unknown number is at a distance of 0.9 units from −2.

It means either the number is 0.9 more than -2 or the number is 0.9 less than -2.

Case 1: x is 0.9 more than -2.

Case 2: x is 0.9 less than -2.

The value of unknown number is either -1.1 or -2.9.

Therefore, the correct options are 3 and 4.

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