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Step-by-step explanation:

expression

y = x² + 5

• according to Option 1

x = 0,1,2

y = 5,10,15

now,

5 = 0² + 5 → 5 = 5 ✓

10 = 1² + 5 → 10 = 1 + 5 → 10 ≠ 6

15 = 2² + 5 → 15 = 4 + 5 → 15 ≠ 9

therefore, Option 1 is incorrect

• now, according to option 2

x = 0,1,2

y = 5,6,9

now,

5 = 0² + 5 → 5 = 0 + 5 → 5 = 5

6 = 1² + 5 → 6 = 1 + 5 → 6 = 6

9 = 2² + 5 → 9 = 4 + 5 → 9 = 9

therefore, Option 2 is correct

• according to option 3

x = 0,1,2

y = 1,2,4

now,

1 = 0² + 5 → 1 ≠ 5

2 = 1² + 5 → 2 = 1+6 → 2 ≠ 6

4 = 2² + 5 → 4 = 4 + 5 → 4 ≠ 9

therefore, option 2 is correct

Hope this answer helps you!

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