Given that a function, f, has a domain of 1 ≤ x ≤ 5 and a range of 0 ≤ f(x) ≤ 15 and includes ordered pairs (1,4) and (5,15), select the ordered pair that could belong to function f. a. (4,18) b. (0,2) c. (3,8) d. (5,10)

We are given domain of the function: 1 ≤ x ≤ 5.

Range:  0 ≤ f(x) ≤ 15.

Also included order pairs  (1,4) and (5,15).

First order pair has domain 1, and second order pair has domain 5.

Both are included in domain of the given function.

Also, first order pair has range 4, and second order pair has range 15.

Both are included in range of the given function.

Option  C. (3,8)  has domain 3 and range 8 within the function.

But if we see option D. (5,10) also withing the function but we already given  (5,15), that is range for domain 5 is 15.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.