MATHEMATICS HIGH SCHOOL

A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.f(x) = (x/10)

Which describes the meaning of f(x)?

a. A customer earns 1 free night per 10 nights stayed.

b. A customer starts with 1 free night and then earns another free night after every 10 nights stayed.

c.A customer earns x – 10 free nights for every 10 nights stayed.

d. A customer earns 10 free nights after x number of nights stayed.

Answers

Answer 1

Answer:

Answer: option a. A customer earns 1 free night per 10 nights stayed.

Explanation:

Building a table can help you:

x: number of nigths stayed ---------- f(x) = 1/x: number of free nights

10 --------------------------------------------- 10/10 = 1

20 -------------------------------------------- 20/10 = 2

30 -------------------------------------------- 30/10 = 3

40 -------------------------------------------- 40/10 = 4

Then, the pattern permits you to conclude that a customer earns 1 free night per each 10 nights stayed, which is the option a.

Answer 2

Answer:

Answer: a. A customer earns 1 free night per 10 nights stayed.

Step-by-step explanation:

A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.

$\text{f(x)}=(x)/(10)$

When , we put x=1, we get

$\text{f(1)}=(1)/(10)$

Here f(1) represents the number of free nights earned by customer is 1 per 10 nights stayed.

Hence, the $\text{f(x)}=(x)/(10)$ a customer earns 1 free night per 10 nights stayed.

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Answers

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7(x-2) = 3(x+4)? Please help soon!

Answers

First use distribution properties and times everything in the brackets by the number before it
So
7x-14= 3x+ 12
Then subtract the x value from one side and move it to the other
Example
7x-14=3x+12
-3x. -3x
Therefore you’d have
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then move your negative 14
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X=6.5

Answer:

x=6.5

Step-by-step explanation:

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Hope this helps! :)

Solve the equation by completing the square. -9n^2+79+=-18n

Answers

Hello,
-9n²+79=-18n
==>9n²-18n-79=0
==>9(n²-2n+1-1)-79=0
==>9(n-1)²-88=0
==>[3(n-1)-2√22][3(n-1)+2√22]=0
==>3(n-1)=2√22 or 3(n-1)=-2√22
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==>n=1+2/3*√22 or n=1-2/3*√22

A principal of $835 in an account at 3% per quarter simple interest

Answers

Take $835 and multiply by 0.3 and you get $25.05
If you add $25.05 to $835 you will get $860.05
Keep adding $25.05 and you will have sums of $885.10, $910.15, $935.20
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