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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.

You might be interested in
these numbers form an addition and subtraction fact family for 6,7,13 here the choices 7+13=20 13+7=20 13-13=0 13-0=13 and 7+0=7
Dominik [7]

Answer:

its the first one

Step-by-step explanation:

Ive had this question before

3 0
2 years ago
Running consumes about 720 calories per hour about how many are used if you run for 40 minutes
Agata [3.3K]

Answer:

288

Step-by-step explanation:

0.40hrs × 720 calories = 288 calories burned

7 0
3 years ago
Plz help!!!!!!!!!!!!!!!
julsineya [31]

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~

Generally what I like to do, to solve questions like this is to substitute the given answers into the equation to solve this faster...

Equation: x^2 + 10x + 12 = 36

A.) (-12)^2 + 10(-12) + 12 = 36

144 - 120 + 12 = 36

24 + 12 = 36

36 = 36

(2)^2 + 10(2) + 12 = 36

4 + 20 + 12 = 36

24 + 12 = 36

36 = 36


Since we found the answer with the first try, we already know the correct answer is A.

So...

The Correct answer is: A.) x=-12 or x=2

4 0
3 years ago
Read 2 more answers
Simplify w1/2 and w1/3
mars1129 [50]

Answer:

They are on their simplified form.

Step-by-step explanation:

Since these numbers are prime numbers we can't simplify them. But we can change them to decimal.

1/2=0.5

1/3=0.3 (in which 3 repeats itself)

Hope this helps ;) ❤❤❤

4 0
3 years ago
!!Help!!<br>solve for x​
Murrr4er [49]

WXY = XYW ( = 41 ) ⇒  XYW is a isosceles triangle

⇒ XW = YW

⇒ 54 = 6x + 6

⇒ 6( x + 1 ) = 54

⇒ x + 1 = 9

⇒ x = 8

ok done. Thank to me :>

4 0
3 years ago
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