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lozanna [386]
3 years ago
5

For the function f(x)=2x+4 and g(x)=3x+1 find g(f(5)

Mathematics
1 answer:
Westkost [7]3 years ago
4 0

Answer: g(f(5)) = 43


See picture enclosed.




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Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day. The
faltersainse [42]

Answer:

30units,2900

Step-by-step explanation:

Given that Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day.

The price function is p(x) = 700 − 5x, where p is the price (in dollars) at which exactly x motorbikes will be sold.

If x units are produced and sold we have

Costs for x units = variable costs *x +Fixed costs = 400x+1600

Sales revenue = no of units sold * price = x(700-5x) = 700x-5x^2

Profit funciton = P(x) = Sales revenue - Total cost

= 700x-5x^2-400x-1600\\=300x-5x^2-1600

To get maximum profit we use derivative test I derivative =0 and II derivative =negative

P'(x) = 300-10x\\p"(x) = -10

Producing 30 units will maximize the profit.

Max profit

=P(30) = 2900

8 0
3 years ago
A model rocket is built to the scale 1:20, or 1 inch - 20 feet. The actual rocket is 4440 feet
tester [92]
The answer is 222. 20 divided by 1 is 20 so if you divide 4440 by 20 you get 222.


Hope this helped!
8 0
2 years ago
Read 2 more answers
A Web music store offers two versions of a popular song. The size of the standard version is 2.8 megabytes (MB). The size of the
Serga [27]

Answer:

Number of high quality version downloads = 880

Step-by-step explanation:

Let,

x be the number of standard version songs downloaded

y be the number of high quality version songs downloaded

According to given statement,

x+y=1600        Eqn 1

2.8x+4.1y=5624     Eqn 2

Multiplying Eqn 1 by 2.8 to eliminate x

2.8(x+y=1600)

2.8x+2.8y=4480     Eqn 3

Subtracting Eqn 3 from Eqn 2

(2.8x+4.1y)-(2.8x+2.8y)=5624-4480

2.8x+4.1y-2.8x-2.8y=1144

1.3y=1144

Dividing both sides by 1.3

\frac{1.3y}{1.3}=\frac{1144}{1.3}\\y=880

Hence,

Number of high quality version downloads = 880

3 0
3 years ago
10(x - 5) = -80 i don't understand math that well lol
Alex_Xolod [135]
10(x-5)=-80
10x-50=-80
    +50   +50
10x=-30
/10   /10 

x=-3
8 0
3 years ago
Read 2 more answers
-4 and 5/2<br> 4 and - 5/2<br> 5 and -2<br> 2 and -5
ICE Princess25 [194]

Answer: it gotta be second and last

Step-by-step explanati

5 0
2 years ago
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