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luda_lava [24]
3 years ago
5

Arthur has decided to start saving for a new computer. His money is currently in a piggy bank at home, modeled by the function s

(x) = 85. He was told that he could do the laundry for the house and his allowance would be a(x) = 10(x − 1), where x is measured in weeks. Explain to Arthur how he can create a function that combines the two, and describe any simplification that can be done.
Mathematics
2 answers:
Leya [2.2K]3 years ago
4 0

Two or more independent functions (say f(x) and g(x)) can be combined to generate a new function (say g(x)) using any of the following approach.

h(x) = f(x) + g(x)         h(x) = f(x) - g(x)

h(x) = \frac{f(x)}{g(x)}                   h(x) = f(g(x))

And many more.

The approach or formula to use depends on the question.

In this case, the combined function is:

f(x) = 75+ 10x

The savings function is given as

s(x) = 85

The allowance function is given as:

a(x) = 10(x - 1)

The new function that combined his savings and his allowances is calculated as:

f(x) = s(x) + a(x)

Substitute values for s(x) and a(x)

f(x) = 85 + 10(x - 1)

Open bracket

f(x) = 85 + 10x - 10

Collect like terms

f(x) = 85  - 10+ 10x

f(x) = 75+ 10x

Read more about functions at:

brainly.com/question/15458447

alina1380 [7]3 years ago
4 0

Answer:

For future help Here is the answer.  

So s(x)=85 is how much money he has in his piggy bank, and a(x)=10(x-1) is his allowance he gets every week.  We are going to make a new equation for this.  The new Equation will be f(x)=s(x)+a(x).  Now we put the answer we have in this new equation, and we get  g(x)=85+ 10(x-1).

Step-by-step explanation:

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One car travel 56 miles per hour and another travels 31 miles per hour. If they start from the same place at the same time and t
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After 3 hours, the faster car will be 75 miles ahead of the slower car.

Step-by-step explanation:

Given,

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Speed of second car = 31 miles per hour

Let,

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Distance covered by first car = Speed * time = 56x

Distance covered by second car = 31x

According to given statement;

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