The graph of a linear function is shown below. Find the zero of the function. help PLEASE

x=4

Step-by-step explanation:

Via the formula of the line y = ax+b.

To calculate a:

a = (-6+1.5)/(-4-2) = (-5.5)/(-6)=55/60.

As the line go through the point (-4,-6), we have

-6 = (55/60)(-4) +b

-6 = -55/15 + b

b= -6 + 55/15 = (-90+55)/15 = -35/15 = -7/3

Then, the equation of the line is

y = (55/60)x - 7/3.

In order to find the zero, we plug y = 0 and obtain:

(55/60)x = 7/3

x = (60*7)/(55*3) = 2.54

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

answer: the correct answer is -32

step-by-step explanation: