A photographer charges $200 to take photos of a group of up to 6 people, and an extra $25 per additional person if there are more than 6 people. The function f(n) , the total cost in dollars, depends on n , the number of people in the group. Assuming that there are at least 6 people in the group, which function correctly represents this situation?
A
f(n)=200(n−6)+25
B
f(n)=25n+200
C
f(n)=25(n−6)+200
D
f(n)=200n+25
Answer:
C
Step-by-step explanation:
Function that represents the situation correctly is f(n)=25(n−6)+200.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
Given, a photographer charges $200 to take photos of a group of up to 6 people, and an extra $25 per additional person if there are more than 6 people.
Let n= 6 means group of 6 people.
So substituting the value n= 6;
In the option A, f(6) = 25
In the option B , f(6) = 350
In the option C , f(6) = 200
In the option D , f(6) = 1225
Here, only option C matches with the given photographer's charges for 6 people.
Therefore, function that represents the situation correctly is f(n)=25(n−6)+200.
To learn more about the function;
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Which one is the even number:
116,318,162,230,180,155
Answer:
they are all even numbers except for 155
Step-by-step explanation:
Using the Pythagoras Theorem
9514 1404 393
Answer:
A. 82.9 yds
Step-by-step explanation:
The missing leg of the right triangle can be found from ...
w²+ l² = d²
w² + 125² = 150²
w² = 150² -125² = 22500 -15625 = 6875
w = √6875 ≈ 82.9
The width of the field is about 82.9 yards.
use the graph f(x)=-x²+8x+20 to determine the values of: p for which -x²+8x+p=0 will have equal roots
According to the discriminant of the quadratic equation, it will have equal roots for p = -16.
What is the discriminant of a quadratic equation and how does it influence the solutions?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The discriminant is:
[tex]\Delta = b^2 - 4ac[/tex]
The solutions are as follows:
If [tex]\mathbf{\Delta > 0}[/tex], and it is a perfect square, it has 2 rational solutions.If [tex]\mathbf{\Delta > 0}[/tex], and it is not a perfect square, it has 2 irrational solutions.If [tex]\mathbf{\Delta = 0}[/tex], it has equal roots.If [tex]\mathbf{\Delta < 0}[/tex], it has 2 complex solutions.In this problem, the equation is:
[tex]f(x) = -x^2 + 8x + p[/tex]
Hence the coefficients are a = -1, b = 8, c = p.
It has equal roots if [tex]\Delta = 0[/tex], hence:
[tex]b^2 - 4ac = 0[/tex]
[tex]8^2 + 4p = 0[/tex]
[tex]4p = -64[/tex]
[tex]p = -16[/tex]
More can be learned about the discriminant of a quadratic equation at https://brainly.com/question/19776811
PLEASE ANSWER HONESTLY (PLEASE BE HELPFULL I HAVE BEEN STUCK ON THIS PROBLEM) WILL MARK BRANIEST IF CORRECT. (no links my computer is slow and no ctrl c ctrol v if possible
Answer:
the blocks represents a²+b²=c², the largest block represents the hypotenuse which would be c² the smallest can either be a or b
Step-by-step explanation:
What is the value of X enter your answer in the box
If the area of ABDE is 195 cm², find the difference in areas of ABCE and ABDE
Answer:
Step-by-step explanation:
Alina drew a model of a square pyramid. The dimensions of the model are
shown in the diagram.
Answer:
400
Step-by-step explanation:
Volume=⅓*B*h
B=10×10=100
Bh=100×12=1200
then divide by
1200÷3=4
The volume of a pyramid with a square base is 400 cm³.
What is a pyramid?A pyramid is a structure where outer surfaces are triangular and converge to a point at the top.
The volume of a pyramid with a square base is given as:
Volume = 1/3 x base area x height
We have,
The volume of a pyramid with a square base is given as:
Volume = 1/3 x base area x height
Now,
Height = 12 cm
Base area = 10² = 100 cm²
Now,
Volume.
= 1/3 x 100 x 12
= 400 cm³
Thus,
The volume of a pyramid with a square base is 400 cm³.
Learn more about pyramid here:
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Select the correct answer.
What is the least common multiple of the numbers 5, 25, and 15?
A.
25
B.
50
C.
75
D. 100
OE.
125
Answer:
C. 75
Step-by-step explanation:
First, list the multiples of each numbers and stop when you reach the least common multiple (the smallest number the numbers can multiply up to):
5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75 . . .
25: 25, 50, 75 . . .
15: 15, 30, 45, 60, 75 . . .
5 times 15 is 75, 25 times 3 is 75, and 15 times 5 is 75. Their LCM is 75.
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Answer:
I think it might be 301.59,im not completely sure tho
What is the measure of the missing angle?
Answer:
25°
Step-by-step explanation:
These types of figures have 3 angles, which add up to 180°. If you found the 2 angles already, you can find the last one by adding both angles together and using 180° to deduct it with the total degree of thd 2 angles.
127 + 28 = 155
180 - 155 = 25
Simplify each expression.
a.
9x + 6 - 4x - 2x + 1 - 15
b.
(6x2 – 2x + 5) + (2x2 – 7x – 11)
С
7x2-5 - 2x - 3+ 5
Answer:
a) 3x-8 b) 8x^2-9x-6 c) 7x^2-2x-3
Step-by-step explanation:
a) 9x+6-4x-2x+1-15
9x-4x-2x+6+1-15
5x-2x+7-15
3x+7-15
3x-8
b) (6x^2-2x+5)+(2x^2-7x-11)
6x^2+2x^2-2x-7x+5-11
8x^2-9x-6
c) 7x^2-5-2x-3+5
7x^2-2x-8+5
7x^2-2x-3
Om escalação de R$ 3,8 bilhões, Brasil tem a 3ª seleção mais cara do mundo Os 11 titulares da equipe da CBF valem juntos 639 milhões de euros (R$ 3,8 bilhões) [...] Dentro do continente sul-americano, o Brasil sobra. Quem mais se aproxima do seu valor de mercado é a Argentina, décima colocada no ranking geral, que tem uma equipe avaliada em 406 milhões de euros (R$ 2,4 bilhões). Com escalação de R$ 3,8 bilhões, Brasil tem a 3ª seleção mais cara do mundo. Disponível em: . Acesso em: 08 out. 2020. De acordo com a reportagem, qual é a diferença, em reais, entre os valores de mercado das seleções brasileira e argentina? A 1 400 B 1 400 000 C 1 400 000 000 D 1 400 000 000 000
i am having a very hard time remembering Negative and Positive numbers adding, subtracting, multiplying, and dividing them.
Here are some examples :
-4+(-25)
-9-(-3)
4÷ - ( -8 )
(-15) (-7)
Answer:
Step-by-step explanation:
So negitive have the - besides it and + mean its negative .
Answer:
-29
-6
.5
105
Step-by-step explanation:
Determine which measure of center best represents the data?
Answer:
Step-by-step explanation:
There is one value 9 which is a lot less than the rest of the values.
I would the median is the best.
x is inversely proportional to the square root of y
When x = 12, y = 9
Find the value of x when y= 81
Answer: 4
Step-by-step explanation:
The formula for inverse proportion is x = k / y. Since x is inversely proportional to the square root of y. This will be:
x = k / ✓y
When x = 12, y = 9
We have to calculate the constant of proportionality, k which will be:
12 = k / ✓9
12 = k / 3
k = 12 × 3
k = 36
To find the value of x when y = 81 will be:
x = k / ✓y
x = 36 / ✓81
x = 36 / 9
x = 4
Therefore, x = 4 when y = 81.
0.23 is a whole number?
Answer:
0.23 is a fraction and there is no way to represent it as a whole number.
hope it helps :)
Step-by-step explanation:
Find the missing angles in the diagram below (pls help no links)
Step-by-step explanation:
here you have the answers
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Answer:
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wasd is the moving mechanics in minecraft
Here is an inequality:
3x + 2
12
Select all of the values that are a solution to the inequality.
= -1
2= -3
x=0
C = -2
1
2= 2
2 = 3
3x2 = 30 a) + 10 b) + V10 c) + 15 d) 30.
Answer:
x = √10
Step-by-step explanation:
3x² = 30
Divide both sides by 3.
x² = 10
x = √10
Johnny has 6 times 3 bottles of Dawn dish soap, how much Dawn dish soap does he have? Why does he NEED that many Dawn dish soap.
Answer:
I was wondering the same thing! like what was Johnny using that much soap for....? btw I loI that video
This list shows the average annual rainfall, in inches, recorded by a weather station over a period of twelve years.
18, 2, 26, 1, 13, 4, 11, 12, 14, 9, 1, 4
Which box plot best represents the set of data?
Answer:
i thin C could be wrong
Step-by-step explanation:
Answer:
It’s a
Step-by-step explanation:
Select the correct answer.
What is the inverse of function f?
7.3g of sugar is needed for every cake made. How much sugar is needed for 9 cakes?
what operation do you use to find the power of bases
please answer quick
help PLZZZZZZZZ NUMBER 4
Answer:
I cannot see number 4Step-by-step explanation:
r
0.6x = 31.2 ( it's multiplication)
percent error between 20 and 16
Answer:
25%
Step-by-step explanation:
[tex]\frac{(20-16)}{|16|}[/tex]|×100
[tex]\frac{4}{16}[/tex]×100
=0.25×100
=25%
=25%error
Students are doing an experiment: that two fair dice are tossed, and all the outcomes are recorded.Then,an event is described as:the sum of the two up faces are recorded. Describe the random variable, X, in this event.Writethe sample space of this event. Calculatethe probability of rolling a 4, and probability of rolling a 12.
Answer:
1.The random variable X can take any value from( 2,- ----,12) in the event of the sample space.
2.The sample space S = [(1, 1), (1, 2),(2, 1), (1, 3), (2, 2),(3, 1), (1, 4),(2, 3),(3, 2),(4, 1), (1, 5),(2, 4), (3, 3),(4, 2),(5, 1),(1, 6), (2, 5),(3, 4),(4, 3),(5, 2), (6, 1), (2, 6),(3, 5), (4, 4), (5, 3), (6, 2),(3, 6), (4, 5), (5, 4), (6, 3),(4, 6) (5, 5), (6, 4),(5,6), (6,5),(6,6)]
3. The probability of getting a 4 = 1/12
4. The probability of getting a 12 = 1/36
Step-by-step explanation:
There are 36 outcomes in all and the event shows the possible numbers obtained after the sum .
The event will be E= [ 2,3,4,5,6,7,8,9,10,11,12]
The random variable X can take any value from( 2,- ----,12) in the event of the sample space.
The sample space S = [(1, 1), (1, 2),(2, 1), (1, 3), (2, 2),(3, 1), (1, 4),(2, 3),(3, 2),(4, 1), (1, 5),(2, 4), (3, 3),(4, 2),(5, 1),(1, 6), (2, 5),(3, 4),(4, 3),(5, 2), (6, 1), (2, 6),(3, 5), (4, 4), (5, 3), (6, 2),(3, 6), (4, 5), (5, 4), (6, 3),(4, 6) (5, 5), (6, 4),(5,6), (6,5),(6,6)]
that is it has all the possible outcomes of both the dice.
The probability of getting a 4= Number of fav outcome/ no of possible outcomes= 3/ 36= 1/12
The probability of getting a 12= Number of fav outcome/ no of possible outcomes=1/36