1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
amm1812
3 years ago
8

Last year a banquet hall charged $65 per person to attend a function. The function C(p) = 65p represents the total cost, C, to r

ent the hall based on the number of people, p, that would attend the event. If the hall can hold a total of 50 people, what is the domain and range for this function?
Mathematics
1 answer:
zlopas [31]3 years ago
8 0

Answer:

Domain = [0, 50]

Range   = [0, 3250]

Step-by-step explanation:

A function shows the relationship between two variables (independent variable and dependent variable). The independent variable is a variable not dependent on any variable, it is the input of the function while the dependent variable is a variable dependent on other variable, it is the output of the function.

The domain of a function is the set of all input variables (independent variable) and the range of a function is the set of all output variables (dependent variables).

In the function C(p) = 65p, p is the independent variable and C(p) is the dependent variable.

Since the hall can hold a total of 50 people, the domain of the function = [0, 50]

C(0) = 65(0) = 0, C(50) = 65(50) = 3250

Hence, the range of the function = [0, 3250]

You might be interested in
Carey bought 8 tickets for $52 how many tickets could she buy for $90?
OverLord2011 [107]

Answer:

73.13

Step-by-step explanation:

I think this <em><u>might</u></em><em><u> </u></em>be the right answer.

6 0
3 years ago
Read 2 more answers
Please answer this simple question!!!
vladimir1956 [14]
Just substitute the value of x from equation 2 in equation 1, 
6y = x - 12
6y = 22 - 12
y= 10/6
y = 5/3

In short, Your Answer would be Option Option B) (22, 5/3)

Hope this helps!
6 0
3 years ago
Doug, a student in this class, knows how to write programs in JAVA. Everyone who knows how to write programs in JAVA can get a h
In-s [12.5K]

Missing Part of Question

Explain which rules of inference are used in the above

Answer:

Universal instantiation, Modus ponens and Existential generalization

Step-by-step explanation:

Splitting the Statement into two, we have

"Doug knows how to write program is Java"

and

"Doug can get a high paying job"

Represent Doug with x. Then the statements is rewritten as

P(x) = "x knows how to write program is Java"

and

Q(x) = "x can get a high paying job"

In logic, A premise is a statement in an argument that provides reason or support for the conclusion.

So, Statement 1 can be written as

1. P(x) ---- Premise

Then, we have

2. Vx(P(x) --> Q(x)) -- Premise. This mean that P(x) for all values in the domain.

The universal instantiation of (2) leads to

3. P(Doug) --> Q(Doug)

The modus ponens of the above gives

4. Q(Doug)

The existential generalisation from above gives

5. ƎxQ(x)

Which means someone in this class can get a high paying job.

PS:

Universal Instantiation is a valid rule of inference from a truth about each member of a class of individuals to the truth about a particular individual of that class; it is represented by VxP(x).

Existential Generalisation is a valid rule of inference that allows one to move from a specific statement, or one instance, to a quantified generalized statement, or existential proposition.

It is represented as ƎxP(x)

4 0
3 years ago
What is 13 - 4x = 1 - x
JulsSmile [24]
13-4x=1-x
13=4x+x=1-x+x
13-3x=1
13-1-3x=1-1
12-3x=0
12=3x
12/3=3x/3
4=x
Therefore, x=4
5 0
3 years ago
Which of the following is the coefficient in the algebraic expression 8x + z2
Olin [163]

Answer:

8

Step-by-step explanation:

Hope this is right! ;)

3 0
3 years ago
Other questions:
  • Rhea is a freelance writer. She works for multiple clients and has several sources of income. Some of her clients pay her more t
    14·2 answers
  • ∠A=6x+12
    14·1 answer
  • Is for today, algebrica members
    9·1 answer
  • Which of the following values do not satisfy the inequality -2x-6&lt;_1
    14·1 answer
  • A storage container is in the shape of a rectangular prism. The container has a length of 10 feet, a width of 8 feet, and a heig
    13·1 answer
  • Billy has a die. He rolls the die, and if the result is not even, he rolls the die
    14·1 answer
  • A circle has a diameter with endpoints (-8,2) and (-2,6). What is the equation of the circle?
    6·2 answers
  • Is 4x+2y=8 the same as y=-2+4
    11·1 answer
  • Please help and please show work<br> y = -8x 2) <br> y = -4 - 10x
    14·1 answer
  • Select the correct answer.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!