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Alisiya [41]
1 year ago
8

Madden and Jenn both worked at the coffee shop today. Madden's total cups of coffee made is represented by f(x); and Jenn's tota

l cups of coffee made is represented by g(x). Use the functions below to write a function that represents the total cups of coffee they made today.
f(x) = 7x − 4
g(x) = 5x + 1
A. 9x + 5
B.9x − 3
C.12x + 5
D.12x − 3
Mathematics
2 answers:
slavikrds [6]1 year ago
7 0

Answer:

Option D. (12x - 3)

Step-by-step explanation:

Madden's total cups of coffee made is represented by the function f(x).

f(x) = 7x - 4

Jenn's total cups of coffee made is represented by the function g(x).

g(x) = 5x + 1

Now we have to write a function that represents the total cup of coffee that represents they made.

That will be represented by f(x) + g(x) = (7x - 4) + (5x + 1)

f(x) + g(x) = 12x - 3

Therefore, option D. will be the answer.

AnnZ [28]1 year ago
5 0

Answer:

The answer is D. 12x - 3.

Step-by-step explanation:

To add these functions, we just add the terms.

f(x) + g(x) = (7x - 4) + (5x + 1)

7x - 4 + 5x + 1 | Simplify

7x + 5x - 3

12x - 3.

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Step-by-step explanation:

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FinnZ [79.3K]

Answer:

The number of pounds of coffee in stock decreased by 9% each hour since the trend began.

There were 40 pounds of coffee in stock when the trend began.

Step-by-step explanation:

p(x)=0.4(.91)^x

      = a b^x

where a is the initial value and b = 1-rate of decrease

We know that the number of pounds of coffee will decrease as time goes on.

.4 is the initial value

It is in the hundreds of pound

.4 * 100 = 40 pounds

x is the number of hours

.91 = 1- rate of decrease

Subtract 1 from each side

.91-1 =-rate of decrease

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rate of decrease = .09

rate of decrease = 9 %

That means we keep 91 % of the coffee and sell 9% of the coffee


Lets check the statements:

There were 400 pounds of coffee in stock when the trend began.

False  there were 40 pounds when we started


The number of pounds of coffee in stock decreased by 9% each hour since the trend began.

True  see above calculations


There were 4000 pounds of coffee in stock when the trend began.

False  see above calculations


There were 40 pounds of coffee in stock when the trend began.

True  see above calculations


The number of pounds of coffee in stock decreased by 91% each hour since the trend began.

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a cost function to represent the cost C(x) for printing x thousand pages for a given month is  C(x) =10(x)+2110 .

<u>Step-by-step explanation:</u>

Here we have , An on-demand printing company has monthly overhead costs of $1400 in rent, $460 in electricity, $80 for phone service, and $170 for advertising and marketing. The printing cost is $10 per thousand pages for paper and ink.We need to Write a cost function to represent the cost C(x) for printing x thousand pages for a given month. Let's find out:

In printing company , expenses are $1400 in rent, $460 in electricity, $80 for phone service, and $170 for advertising and marketing , Let cost function be C(x) so :

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Therefore , a cost function to represent the cost C(x) for printing x thousand pages for a given month is  C(x) =10(x)+2110 .

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