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STatiana [176]
3 years ago
11

The cost c per person to participate in a guided camping tour depends on the number of n participating in the tour. This relatio

nship can be described by the function c = – 4n + 60, where 0 < n < 12. What is the rate of change described by this function?
Mathematics
1 answer:
BARSIC [14]3 years ago
5 0

Answer:

-4

Step-by-step explanation:

Given the function :

c = – 4n + 60

Where, c = cost of participation ;

n = number of persons

The cost equation can be related to the slope intercept, equation ;

y = mx + b

Where, m = Slope or rate of change

b = intercept

Comparing the slope intercept equation to the cost equation ;

m = - 4 ; Hence, the rate of change of cost is - 4

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What is the inverse of the function f(x) = one-ninthx + 2?
Bumek [7]

Answer:   9x - 18

<u>Step-by-step explanation:</u>

Inverse is when you swap the x's and y's and solve for y

\text{Given: }\quad y=\dfrac{1}{9}x+2\\\\\text{Swapped: }x=\dfrac{1}{9}y+2\\\\.\qquad \quad x-2=\dfrac{1}{9}y\\\\.\qquad  9(x-2)=y\\\\.\quad \large\boxed{9x-18=y}

3 0
3 years ago
An open box is to be made from a flat piece of material 14 inches long and 6 inches wide by cutting equal squares of length xfro
Ludmilka [50]

Answer:

f(x)=x(14-2x)(6-2x)

Step-by-step explanation:

We are given that

Length of flat piece of material=14 in

Width of flat piece of material=6 in

We have to find the volume of box as a  function of x.

An open box is made from flat piece of material by cutting equal squares of length x from the corner and folding up the sides.

Therefore, Height of box=x in

Length of box=14-2x in

Width of box=6-2x in

We know that volume of box=length\times breadth\times height

Using the formula

Volume of box=f(x)=x(14-2x)(6-2x)

6 0
3 years ago
You and a friend are trying to find a flag hidden in the woods. Your friend is standing
Igoryamba

Answer: Yes there is

Step-by-step explanation:

look bro your trying to get a total of 180 degrees

you already got 72 and 53 degrees

so add the two numbers and then subtract it from 180 degrees

thats 180 degrees minus 125 degrees

your missing point is 55 degrees

3 0
4 years ago
Which of the following graphs could be the graph of the function f(x) = x4 + x3 – x2 – x?
vitfil [10]

<u> Solution-</u>

The given function is,

f(x) = x^4+ x^3-x^2-x

     = x^3(x+1)- x(x+1)

     = (x+1)(x^3-x)

     = (x+1)x(x^2-1)

     = (x+1)x(x+1)(x-1)

     = {(x+1)}^2x(x-1)

Therefore, at x=0, -1, 1 , f(x) will be 0 . Hence, 0, -1 ,1 are the x-intercepts.

Plotting the graph on desmos, the graph will be as in the attachment.

7 0
4 years ago
Read 2 more answers
The episodes of a TV program are each 50 minutes long.
Nimfa-mama [501]

Answer:

3 hours 20 minutes

Step-by-step explanation:

first multiply 50 by how many episodes were watched

50 * 4 = 200

then devide it by 60 (60 minutes in an hr)

200 / 60 = 3 with a remainder of 1/3

meaning that it is 3 1/3 hours, to convert this into minutes, just devide a full hour (60 minutes) by 3

60 / 3 = 20

therefore the answer is 3 hours and 20 minutes

6 0
3 years ago
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