How would you represent the expression 36 – 3(4) on the number line shown? a. begin at 12 and move 36 units to the left b. begin at 36 and move three units to the right four times c. begin at 36 and move four units to the right three times d. begin at 36 and move four units to the left three times

D. Begin at 36 and move four units to the left three times.

Step-by-step explanation:

We have been given an expression and a number line. We are asked to choose the best representation of our expression on number line.

We can see that our point is on 36 on given number line.

We also know that negative numbers are on the left side of the number line and the values of numbers increase to the right on number line.

The meaning of is 3 times 4.

means that we begin at 36 and will move four units to the left  three times. Therefore, option D is the correct choice.

range is infinite on both x and y axis positive and negative

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