An ice cream shop uses the function f(p)=2.50p-300 to calculate the amount of profit or loss, f(p), the store makes each day after selling p number of ice cream cones which domain is appropriate for the function and shows the ice cream shop making a profit? a. all positive integers b. all positive rational numbers c. all integers greater than 120 d. all rational numbers greater than 120

c. all integers greater than 120

Step-by-step explanation:

For making profit, f(p) must be positive. You want f(p) to be greater than zero.

2.50p - 300 > 0

2.50p > 300

p > 120

Since the number of cones sold is always a whole number, the domain must be all integers greater than 120.

c. all integers greater than 120

p > 120. p is an integer. Answer C

Step-by-step explanation:

If all you are interested in is profit, then you must find the break even point.  The break even point is showing neither a profit nor a loss.

The break even point is the point where the function f(p) = 0. Be careful that you understand that p is not zero. The y value or f(p) is 0.

2.50p  - 300 = 0                           Add 300 to both sides

2.50p - 300 + 300 = 0 + 300      Combine

2.50p = 300                                  Divide both sides by 2.5

2.50/2.50 p = 300/2.50               Do the division

p = 120 cones

Conclusion

He must sell 120 cones to break even.

A: wrong. Any number less that 120 and he is not making money

B: wrong. What would it mean is p= 300.333 cones? What does the 0.333 stand for.

C: Correct. He has to sell an integer number of cones > 120

D: Wrong. Same reason as B

step-by-step explanation:

it's is b

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.