Will mark

in the first four months of the year, noralie's jewelry sales were declining. after april, her sales began to improve. the function below represents her monthly sales. which graph represents the noralie's sales?

Option C. is the correct option,

Step-by-step explanation:

To represent the inequalities in the form of a graph we will plug in the values of x and find the points.

f(x) = -x + 8 if x < 4

and f(x) = x if x ≥ 4

For x = 4, 5, 6, 7, 8 x ≥ 4

f(x) = x

f(4) = 4

f(5) = 5

f(6) = 6

f(7) = 7

For x < 4

f(x) = -x + 8

x = 3, 2, 1, 0

f(3) = -3 + 8 = 5

f(2) = -2 + 8 = 6

f(1) = -1 + 8 = 7

f(0) = 0 + 8 = 8

We see for every value of x, value of function is increasing. Therefore on both the sides of x = 4 graph is increasing.

Therefore Option C. is the graph representing Noralie's sales.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.