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Alekssandra [29.7K]
3 years ago
12

A pool pass costs $30 for the first month and $15 each additional month. Construct an explicit rule in function notation to mode

l the arithmetic sequence. F(n) = ___________ (simplfy your answer) Find F(12)
Mathematics
1 answer:
noname [10]3 years ago
4 0

Answer:

F(n)=15(n+1)    [ where n is number of months]

F(12)=195

Step-by-step explanation:

Pool pass cost for first month =$30

Pool pass cost after first month = $15 for each month

The total amount charged by the pool can be expressed as a  function F(n) where n represents the number of months.

F(n)=15(n-1)+30

This can be simplified by using distribution.

F(n)=(15n-15)+30

F(n)=15n-15+30

F(n)=15n+15

Take 15 as greatest common factor.

∴ F(n)=15(n+1)

For n=12

F(12)=15(12+1)

F(12)=15(13)

F(12)=195

∴ Amount charged by pool for 12 months = $195

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Ivanshal [37]
Hi there!

Let's solve this inequality step by step!
- 2a > 6

First divide both sides by 2.
- a > 3

To find the value of a, we must get rid of the negative sign in front of it, so we divide both sides by -1. When dividing by a negative, we must flip the sign.

Hence,
a < - 3

Additonal note:
This solution makes sense because of the following reason: when a number that has been made negative is bigger than 3, the number itself must be smaller than -3 (when we add an extra minus sign to -3, it becomes 3; so every number smaller than -3 will become bigger than 3 when we add another minus sign).

~ Hope this helps you!
5 0
3 years ago
If f(x)=3x^2-2 and g(x)=4x+2, what is the value of (f+g)(2)
elena-14-01-66 [18.8K]

(f+g)(x)=3x^2-2+4x+2=3x^2+4x\\\\(f+g)(2)=3\cdot2^2+4\cdot2=12+8=20

5 0
3 years ago
Find the probability that in a family of 6 children there will be at least 2 boys​
artcher [175]

Answer:

25%

Step-by-step explanation:

Assuming that each child can only be a boy or a girl, then each child will have a probability of 0.5 or 50% of being either gender. Therefore, since we need to find the probability of at least 2 being boys then we simply need to multiply this probability twice.

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Using this data we can say that there is a 25% probability of there being at least 2 boys in the family.

8 0
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Changing the coefficient of x to 6 changes the meaning of the expression as 5 is added to 6 times x

Solution:

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We are asked to find what happens when changing the coefficient to 6 changes the meaning of the expression

In the expression,

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This means 5 is added to 2 times x or 5 is added to twice of x

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5 is added to 6 times x

So changing the coefficient of x changes the meaning of the expression

6 0
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