Last month, the yearbook committee sold candy bars to raise money for the senior class. the function p(c) = 1.50c − 25 represented the profit, p(c), the yearbook committee earned selling the candy bars. sales were strong, so the committee increased the price of each candy bar by 25 cents this month. which function represents the yearbook committee’s profits this month?
1) p(c) = 0.25c-25
2) p(c)= 1.50c
3) p(c) = 1.50c- 55
4) p(c) = 1.75c -25

#4

Step-by-step explanation:

The function  represents the profit.

The 1.50 part is the price of each candy bar

The 25 part is the fixed cost incurred

This month, the price of candy bars increased by 0.25, so the "1.50" portion would be increased, NOT "25" portion [fixed cost remained same].

Thus, 1.50 would be increased by 0.25, that is:

1.50 + 0.25 = 1.75

Thus, the new profit function would be:

Answer choice #4 is right.

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this

the value of x is 9 ⇒ answer b

step-by-step explanation:

* we can solve this problem using cosine and sine rule

- in δ abc

∵ ab = 36 , bc = 28 , ac = 16

- lets find the measure of angle b using the cosine rule

∵ cos b = [ab² + bc² - ac²]/2(ab)(bc)

∴ cos b = [36² + 28² - 16²]/2(36)(28)

∴ cos b = 19/21

∴ m∠b = cos^-1(19/21) ≅ 25°

- lets find the measure of angle a using the sine rule

∵ sina/bc = sinb/ac = sinc/ab

∴ sina/28 = sin25°/16 ⇒ by using cross multiplication

∴ sina = 28 × sin25°/16

∴ sina = 0.7396

∴ m∠a = sin^-1(0.7396) ≅ 48°

- from the figure m∠abd = m∠dbc

∵ m∠abc = 25°

∴ m∠abd = 25°/2 = 12.5°

- in δabd

∵ m∠a = 48° , m∠abd = 12.5°

∵ the sum of the measures of the interior angles of any δ is 180°

∴ m∠adb = 180° - (48° + 12.5°) = 119.5°

∵ ab = 36

∵ ad = x

- use the sine rule to find x

∵ sin∠adb/ab = sin∠abd/x

∴ sin119.5°/36 = sin12.5°/x ⇒ by using cross multiplication

∴ x = 36 × sin12.5°/sin119.5° = 8.95 ≅ 9

* the value of x is 9