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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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Therefore a small profit will be made when 65 tacos are produced, to wit: 

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VladimirAG [237]

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Step-by-step explanation:

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Read 2 more answers
briana house is at (1,6) and jordan house is(5,3) what is one possible path from brianna house to jordan house
Maurinko [17]

Answer:

see the explanation

Step-by-step explanation:

Let

A (1,6)------> location Brianna's house on a map

B (5,3)------> location Jordan's house on a map

we know that

One possible path from Brianna's house to Jordan's house it's a straight line  ( the shortest distance)

using a graph tool

see the attached figure

<em>Find the distance points AB</em>

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute the values

d_A_B=\sqrt{(3-6)^{2}+(5-1)^{2}}

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6 0
3 years ago
A two-factor between-subjects design is evaluated. The F-value for Factor A has df = 1, 40 and the F-value for Factor B has df =
finlep [7]

Answer:

The df values for the A x B interaction are also 3,40

Step-by-step explanation:

The F-value for Factor A has df = 1, 40

The F-value for Factor B has df = 3, 40.

The df values for the A x B interaction are also 3,40

This is because the source of variation between columns has ( c- 1); rc(n-1) degrees of freedom and  the source of variation between  rows has (r-1); rc(n-1) degrees of freedom and the  source of variation of interaction

(between rows and columns)  has ( c-1) ( r-1); rc(n-1) degrees of freedom.

Therefore

Factor A:  ( c- 1); rc(n-1)    = 1,40

<u>Factor B:    (r-1); rc(n-1)     = 3,40</u>

Interaction : ( c-1) ( r-1); rc(n-1)   =  3*1,(40)= 3,40

where c refers to columns , r refers to rows and n refers to the total sample size.

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