Which of the following expressions is equivalent to 18m - 12?

-3(-6m - 4)
2(-9m + 6)
-1(18m + 12)
6(3m - 2)

Step-by-step explanation:

we have the expression:

and we can express the number 18 by its factors like this:

and also the number 12:

so in both numbers we have a common factor of 6:

So we can factor the given expression by taking out the 6 of each coefficient, and we get the following:

which is the fourth option.

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed

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