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Snowcat [4.5K]
2 years ago
11

Tamara has decided to start saving for spending money for her first year of college. Her money is currently in a large suitcase

under her bed, modeled by the function
S(x) = 450. She is able to babysit to earn extra money and that function would be a(x) = 6(x - 2), where x is measured in hours. Explain to Tamara how she can

create a function that combines the two, and describe any simplification that can be done.
Mathematics
2 answers:
andre [41]2 years ago
4 0

Answer:

She can create a function for the total savings in terms of the time x by adding the two functions together. The new function should look like this:

T(x)=S(x)+a(x)

So now we can substitute the given functions:

T(x)=450+6(x-2)

But this function can be simplified for it to be easier for her to calculate her total amount of savings. We can do that by distributing the 6 into the parenthesis. This is, multiply the 6 by both the x and the -2, so we get:

T(x)=450+6x-12

and now we can combine like terms. We can subtract 12 from 450 so we get:

T(x)=6x+438

And that will be our final function.

Step-by-step explanation:

katovenus [111]2 years ago
3 0

Answer:

She can create a function for the total savings in terms of the time x by adding the two functions together. The new function should look like this:

T(x)=S(x)+a(x)

So now we can substitute the given functions:

T(x)=450+6(x-2)

But this function can be simplified for it to be easier for her to calculate her total amount of savings. We can do that by distributing the 6 into the parenthesis. This is, multiply the 6 by both the x and the -2, so we get:

T(x)=450+6x-12

and now we can combine like terms. We can subtract 12 from 450 so we get:

T(x)=6x+438

And that will be our final function.

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Answer:

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Step-by-step explanation:

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ExtremeBDS [4]

Given:

Consider the below figure attached with this question.

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y=2x-8

To find:

The values to complete the table of ordered pairs for the given linear equation.

Solution:

We have,

y=2x-8

Substituting x=0 in the given equation, we get

y=2(0)-8

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Substituting y=-2 in the given equation, we get

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So, the value for second blank is 3.

Substituting x=2 in the given equation, we get

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So, the value for third blank is -4.

Therefore, the required complete table is:

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     0         -8

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If you add or subtract two rational numbers, is the result sometimes, always, or never rational?
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Step-by-step explanation:

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