A vehicle travelled (x+4) kilometres within (x²-16) hours. What is the speed of the vehicle?

Step-by-step explanation:

speed = distance/ time

=> (x+4)/(x²-16) => (x+4)/(x+4)(x-4) => 1/(x-4) km/h.

hope this helps you.

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

180-142=38 for the acute angle next to the entry

90+38=128

180-128=52

a=52

step-by-step explanation: