What are the domain and the range of this function?

Domain: [-5,1)

Range: [-4,7)

Step-by-step explanation:

Domain and Range

The graph shows a straight line that represents a function whose domain and range we are to determine.

To find the domain of a function given its graph we draw imaginary vertical lines from -∞ to +∞. The values of x where the line meets the graph belong to the domain.

We can find the domain of the function is [-5,1). Note the left endpoint is included because there is a solid dot and the right endpoint is not because the dot is hollow.

Similarly, the range can be determined by using horizontal lines. We can see such lines meet the graph in values of y ranging from -4 to 7. The latter not included. Thus, the range is [-4,7)

Domain: [-5,1)

Range: [-4,7)

answer: -0.5 would be the most likley outcome

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 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.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

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

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .