Ben claims that the points (2 4) (4 8) and (8 12) lie on a line. show that ben is incorrect

Ben is incorrect because the slopes of the lines between two points are not same.

Step-by-step explanation:

The given points are (2,4), (4,8) and (8,12).

If all the points lie on a straight line, then the slopes of the line joining the pair of points are same.

Slope formula is

The slope of line joining (2,4) and (4,8).

The slope of line joining (2,4) and (8,12).

The slope of line joining (4,8) and (8,12).

Since the slopes are not equal therefore these points lies on different lines.

Hence proved that ben is incorrect.

a) 0.25x times 3. (could be wrong on equation.)

b) 2.25 pound of dark chocolate. (can i eat all the chocolate? plz? anyway, again, could be wrong, but i hope im right. all the chocolate together should be 5.25 pounds)

have a good day!

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