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boyakko [2]
2 years ago
5

You are throwing a party for your friend. The caterer charges $60 per person. Fifteen guests have been invited, but you are not

sure if all her friends will attend. assume that at least one person shows up to the party.
a) write an equation to represent this situation.
b) find the domain of this function.
c) find the range of this function.
Mathematics
1 answer:
SVEN [57.7K]2 years ago
4 0

Answer:

a.) write an equation to represent this situation

Step-by-step explanation:

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Let​ R(x), C(x), and​ P(x) be,​ respectively, the​ revenue, cost, and​ profit, in​ dollars, from the production and sale of x it
sp2606 [1]

Answer:

P(x) = -0.004x^2 - 3.7x - 50

Step-by-step explanation:

We have to find profit P(x).

This can be easily found using a formula for Profit given the Revenue and Cost.

Profit = Revenue - Cost

P(x) = R(x) - C(x)

Given that:

R(x) = 6x

C(x) = 0.004x^2 + 2.3x + 50

to find P(x) we can simply subtract R(x) by C(x).

P(x) = R(x) - C(x)

P(x) = (6x) - (0.004x^2 + 2.3x + 50)

P(x) = 6x - 0.004x^2 - 2.3x - 50

and finally, after simplify this equation subtracting 6x by 2.3x.

this is the equation for the profit P(x)

P(x) = -0.004x^2 - 3.7x - 50

3 0
3 years ago
In the right triangle, a = 20, b = 21. Find c<br><br> A) 841<br> B) 22<br> C) 29
Mariulka [41]

Answer:

C

Step-by-step explanation:

3 0
2 years ago
aliyah had some candy to give her four children. she first tooke ten pieces for herself and then evenly divided the rest among h
DIA [1.3K]

<span><span><span>Let the original number be "x".
(x-10)/4 = 2

x-10 = 8
x = 18 (original number of pieces of candy.)</span></span></span>
6 0
3 years ago
The manager of a grocery store reports that there is a 12 percent chance that a customer buys apples during a shopping trip, a 5
Ivanshal [37]

Answer:

The probability of a customer buying carrots is 0.10.

Step-by-step explanation:

Here, given:

P (Customer buying apples) = 12%  

⇒   P(A) = 12 \100 = 0.12

P(Customer Buying apples AND Carrots) = 5%  

   ⇒   P(A ∩ C ) = 5 /100 = 0.05

P(Customer buying apples OR carrots ) = 17%    

⇒   P(A∪ C) = 17/100 =   0.17

Now, we know that:

<h3> P(X ∪ Y) = P(X) + P(Y) -  P(X ∩ Y ) </h3><h3></h3>

Now, here substituting the values, we get:

P(A∪ C)  = P(A) + P(C) - P(A ∩ C )

⇒  0. 17  =  0.12 + P(C) -  0.05

or, 0.17 - 0.07 = P(C)

or, P(C) = 0.10

or, P(Customer Buying Carrots) = 0.10

Hence, the probability of a customer buying carrots is 0.10.

4 0
3 years ago
Please explain number 10 in a step by step process.
Aleonysh [2.5K]

Good evening ,

______________

Answer:

a=3

___________________

Step-by-step explanation:

Look at the photo below for the answer.

:)

3 0
3 years ago
Read 2 more answers
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