The graph shows the motion of a car driving on a highway. Enter a value to complete the statement.

Car A's speed is 75 miles per hour

Step-by-step explanation:

As the distance-time graph represents the straight line. Thus, the slope of any line would remain constant along the line.

We also know that in a distance-time graph, the slope of the line would be equal to the speed of the object.

Taking two points from the graph

Determining the slope

Slope = [y₂-y₁] / [x₂-x₁]

          = [100 - 25] / [1 - 0]

          = 75 / 1

           = 75 miles per hour

Therefore, Car A's speed is 75 miles per hour

no problobm

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true