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vampirchik [111]
2 years ago
14

F(x) =17x and g(x) = 4x. Find f(x)-g(x) when x=3

Mathematics
1 answer:
bogdanovich [222]2 years ago
8 0

Answer:

39

Step-by-step explanation:

f(x)=17x

f(3)=17(3)

f(x)=51

g(x)=4x

g(3)=4(3)

g(x)=12

f(x)-g(x)

51-12= 39

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8(x+8)

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42 - 6 - 6 - 6 - 6 - 6 - 6 - 6 = 0

or

42 - 7 - 7 - 7 - 7 - 7 - 7 = 0

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Read 2 more answers
You own a motel and have a pricing structure that encourages rentals of rooms in groups.
zheka24 [161]

Answer:

$41

Step-by-step explanation:

  • One room rents for $68,
  • Two rooms for $65 each,
  • In general, the group rate per room is found by taking $3 off the base of $68 for each extra room.

So,

a_1=\$68\\ \\a_2=\$65\\ \\a_3=\$62\\ \\...

where a_n is the rate per nth room rented.

This is an arithmetic sequence, so

a_n=a_1+(n-1)\cdot d

In your case,

a_1=68\\ \\n=10\\ \\d=-3

Hence

a_{10}=68+(10-1)\cdot (-3)=68-9\cdot 3=68-27=41

This means if a group rents 10 rooms, the charge per room is $41.

5 0
3 years ago
ANSWER PLEASE Tyler deposits $2000 and has a 8% interest compound quarterly. How much does he have Quarter 1,2,3,4 Show Work
guajiro [1.7K]

Answer:

If the time passed is only 3 months, then it is $2040

Step-by-step explanation:

We can use the quarterly compounded interest equation for this problem: P(1 + r/n)^nt

Step 1: Find out how much 3 months is in a year

<em>In this case, 3/12 which is 1/4</em>

Step 2: Plug in known variables into equation

2000[1 + (0.08)/4)]^[(4)(1/4)]

Step 3: Solve/Plug in calc

You will get $2040

If the time passed in the problem is 1 year, then we can be able to solve how much money he earned per quarter. However, since only 3 months have elapsed, then he has only earned $2040.

7 0
3 years ago
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