(50 POINTS. PLS SHOW ALL WORK) 1. (09.01 MC) The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, being sold by the company: Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (6 points) Part B: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent? (4 points) (10 points)

See explanation.

Step-by-step explanation:

A) The x-intercept, which is 0, represents that they would make $0 if they sold pens for $0.

The maximum value is the most amount of money they would make. If they sold pens for more than that, less people would buy them, and they would lose money.

From 0 to 3, the graph is increasing. This means that the higher the number from 0 to 3, the more money they would make. However, the opposite is true from 3 to 6. The higher the price in this zone, the less money they make.

B) The approximate rate of change from 3 to 5 is -60. This means the slope is -30. What this represents is the fact that, for every $1 price increase from 3 to 5, they will make $60 dollars less.

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step-by-step explanation:

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841