A horse-drawn carriage tour company has found that the number of people that take their tour depends on the price charged per customer. The more the company charges for a tour, the fewer people decide to take the tour.

The function c(x)=50+5x represents price charged per customer where x is the number of $5 increases they charge over a rate of $50 per person.

The function p(x)=120−2x represents the number of customers expected for the day, where x is the number of $5 increases they charge over a rate of $50 per person.



What does (p⋅c)(2) mean about the horse-drawn carriage tour company?

Answer:

A. f(x) = 9sin(x/3) + 6

Step-by-step explanation:

First, we can eliminate B and C because they have the wrong vertical shift.

Since the y intercept is 6, this means the function has a vertical shift up 6 units, represented by a +6 at the end of the equation.

The amplitude is 9, found by calculating the difference between the minimum and maximum values, and dividing it by 2.

(15 - (-3)) / 2

18 / 2

= 9

Using a calculator, find the period given the frequency.

The period (coefficient of x) is 1/3.

So, putting all of these constants together, the correct equation is:

A. f(x) = 9sin(x/3) + 6

Answer:

A. f(x) = 9sin(x/3) + 6

Step-by-step explanation:

Hope this will help

Answer: wow Ashley smh it’s Lorelei btw

Step-by-step explanation:

Answer:

answer is A

Step-by-step explanation:

you on edg?

Answer:

C

Step-by-step explanation:

Answer:

If all three digits need to be the same (I assume that's what aaa means) it's 333

Step-by-step explanation:

For a number XYZ to be divisible by 9, X+Y+Z must be divisible by 9. Here's why:

X*100 + Y * 10 + Z = X + Y + Z + 99*X + 9*Y = X + Y + Z + 9(11X + Y)

So we need to find the smallest a so that a+a+a = 3a is divisible by 9. The smallest would be 0, but 000 is not a real 3-digit number. The next one is 3.

Answer:

51,2

Step-by-step explanation:

15->24

15×1,6=24

32->

32×1,6=51,2

Answer:

I believe it's 26.88$ :) Please correct me if I'm wrong

Step-by-step explanation:

67.20$ multiplied by 0.4

Answer:

26.88 is the answer

Step-by-step explanation:

67.20/100=0.672=1%

40*0.672=26.88

Answer:

15.2

Step-by-step explanation:

Answer:

The new volume is 375 cubic inches.

Step-by-step explanation:

Volume of a right square prism:

The volume of a right square prism is given by:

[tex]V = a^2h[/tex]

In which a is the length of the edge and h is the height.

A right square prism has a volume of 75 cubic inches.

This means that:

[tex]a^2h = 75[/tex]

The prism is enlarged so its height is increased by a factor of 5

Edge is the same, height is 5 times. So

[tex]a^2(5h) = 5(a^2h) = 5*75 = 375[/tex]

The new volume is 375 cubic inches.

Answer:

370

Step-by-step explanation:

Answer:

n = 7

Step-by-step explanation:

subtract 5 from 12

Answer: n=7

Step-by-step explanation:

“5 more than n” simply means n+5

n+5=12, subtract 5 from both sides. n= 7

Answer:

y>2x+8:  Dashed    x+1/2y is less than or equal to 12:  Solid      y is greater than or equal to 2/3x-6:  Solid     -4x+2y<10:  Dashed

Step-by-step explanation:

If there is a < or > sign, it is dashed, because the answer you get is not part of the solution (it is either less than or greater than the solution). If it is a less than or greater than or equal to sign (with the line under it) the line will be solid because the answer you get is part of the solution.

The boundary line will not be included in the solution set. Therefore, the boundary line will be dashed. The table shows the following:

Dashed if the boundary line is not included in the solution set.

Solid if the boundary line is included in the solution set.

The inequalities that will have a dashed boundary line are:

y > 2x + 5

x + y ≤ 12

The inequalities that will have a solid boundary line are:

y ≤ 2x - 6

-4x + 2y - 10 ≤ 0

Here is an explanation of why each inequality will have the boundary line that it does:

y > 2x + 5

This inequality is not equal to 2x + 5, so the boundary line will not be included in the solution set. Therefore, the boundary line will be dashed.

x + y ≤ 12

This inequality is equal to x + y ≤ 12, so the boundary line will be included in the solution set. Therefore, the boundary line will be solid.

y ≤ 2x - 6

This inequality is equal to y ≤ 2x - 6, so the boundary line will be included in the solution set. Therefore, the boundary line will be solid.

-4x + 2y - 10 ≤ 0

This inequality is not equal to -4x + 2y - 10, so the boundary line will not be included in the solution set. Therefore, the boundary line will be dashed.

To know more about boundary:

https://brainly.com/question/30050559

#SPJ2

Answer:

You must know the shape of the graph y = x². Its chart is in the form of an upward parabola. The shape of the graph y = -x² is the same except that it is downward. Finally, to draw the shape of the graph y = -x² + 9, we need to move the previously mentioned graph 9 units upwards.

The formula for the vertex length of a parabolic chart is as follows: x= -b/(2a) b=0 , a= 1 → x= 0, y=-(0)²+9=9

vertex: (0,9)

Answer:

1.335 kg

Step-by-step explanation:

710 + 225 + 400 = 1335 grams

1 kilogram = 1000 grams So:

1335/1000 = 1.335 kilograms

Answer:

1.335 kilograms

Step-by-step explanation:

I got it right on my quiz

Answer:

Step-by-step explanation:

1. -2x=26 is x=-13. The graph for this would be a vertical line at the point (-13,0)

2. 3y + 12 = 2x is y=2/3x-4

3. 2x=4y is y=1/2x

4. 1/2y=2x+1 is y=4x+2

5. -2x=-11-y is 2x-11=y or y=2x-11

*I'm so sorry I wasn't able to give you the graphs (I tried uploading them on here from Desmos, and they wouldn't load for some reason). For graphing, you can create random ordered pairs, and can solve for y.

Answer: No.

Step-by-step explanation:

They aren't equal because using the order of operations, the two in 7n-2 is subtracted from 7n. In 2-7n, they are subtracting 7n from 2, which would give a totally different answer.

Answer:

no they are not the same or equal. this is because the first part of the expression 2 is the number that is negative while 7n is positive. in the second half of the expression 2 is positive and 7n is negative.

Step-by-step explanation:

i hope this helps :)

Answer:

File won't load...?

Step-by-step explanation:

Answer:

4, 12

3w=w+8

2w=8

w=4

w+8=4+8=12 (12=3w)

23 people can go in 2000 IQ

Answer:

5z

Step-by-step explanation:

3z+5z-3z(3z gets cancelled)

5z

Answer:

5z!

brainliest pls :D

Answer:

1/92^7

this is correct answer of this question

hope it helps

Answer:

6%/year

Step-by-step explanation:

Solving our equation

r = 300 / ( 1000 × 5 ) = 0.06

r = 0.06

converting r decimal to a percentage

R = 0.06 * 100 = 6%/year

The interest rate required to

accumulate simple interest of $ 300.00

from a principal of $ 1,000.00

over 5 years is 6% per year.

Answer:

The shorter leg, which is opposite to the 30- degree angle, is labeled as x. The hypotenuse, which is opposite to the 90-degree angle, is twice the shorter leg length (2x). The longer leg, which is opposite to the 60-degree angle, is equal to the shorter leg's product and the square root of three (x√3).

Step-by-step explanation:

Answer:

opposite side = √192 in, hypotenuse = 16in

Step-by-step explanation:

tan60 = opposite side / 8in

opposite side = √192 in

cos60 = 8in/hypotenuse

hypotenuse = 16in

Answer:

700 A

Step-by-step explanation:

if see ujbvcddfgyggcs456ujhvcddrtuijjjnbbbgc

Answer:

¿Cumplirá Amelia con lo que se ha propuesto?

Amelia no cumple con lo que se ha propuesto, porque:

56,4 ÷ 2 = 28,2 ← 1 cucharadita

28,2 + 28.2 = 56,4 + 28,2 = 84.6 Cal ← 3 cucharaditas

84.6 Cal + 17 Cal azúcar = 101,6 Cal

101,6 Cal + 180 Cal pan = 281,6 Cal

Lo que se ha propuesto Amelia = 260 Cal

Lo que está consumiendo = 281 Cal

- Además, si Amelia solo quiere echarse ¾ de una porción de Nesquik, entonces, ¿Cuántas cucharaditas echará a su taza?

¾ × 2 = 1,5 ← cucharaditas

Se echara 1,5 cucharaditas :D

Step-by-step explanation:

Answer:

Side length = 5 root 2

perimeter is (5 root 2)*3

Step-by-step explanation:

Use pythagoras

a^2 = b^2 + c^2

a^2 = 5 root 2

(5 root 2)^2 = (c^2)/2 + c^2

75 = (c^2)/2 + c^2

150 = c^2 + 2c^2

150 = 3c^2

50=c^2

root of 50 = 5 root 2

as it is equiliateral triangle all sides are the same

Answer:

Side: 10

Perimeter: 30

Step-by-step explanation:

An equilateral triangle has a height of 5√3. What is the length of each side in the equilateral triangle? What is the perimeter of the equilateral triangle?

In triangles with angles with 30°, 60°, and 90°, the hypotenuse (the angle opposite to the 90° angle) is twice as long as the base, and the height is √3 times as long as the base. To make it easier, this is a list of the sides:

x = base

√3 * x = height

2x = hypotenuse.

Look at the drawing I have attached below

If AD is the base of the triangle ADC, then CD, the height is √3 times AD. If we set AD as x, CD = √3*x = 5√3

√3*x = 5√3

Divide both sides by √3.

x = 5

Then, because altitudes in equilateral triangles bisect the base (CD cuts AB in half), then AB = 10.

The sides in equilateral triangles are equal, so each side is 10.

Then, the perimeter must be 30.

I hope this helps! Feel free to ask any questions!

Answer:

B is correct. Your starting amount is 210$ And you're taking away 15$ each time she uses the club,x.

Step-by-step explanation:

Answer:

The linear function model the situation is b = 210 - 15x .

Option (B) is correct .

Step-by-step explanation:

Let us assume that the number of times giselle uses the club be x .

As given

giselle pays $210 in advance on her account at the athletic club.

Each time she uses the club,$15 is deducted from the account.

Let suppose that the money left after giselle uses the club x times is b .

Than the equation becomes

Money left = Amount pay in advance - Deducted amount × Number of times  giselle uses the club .

Put all the values in the above

b = 210 - 15 × x

b = 210 - 15x

Therefore the linear function model the situation is b = 210 - 15x .

Option (B) is correct .

Answer:

a 11

Step-by-step explanation: