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3 years ago

Consider the combined function. f(X) + g(X) = 9x + 4 . If f(x) = 4x - 3, find g(x)

Mathematics

1 answer:

Amanda [17]3 years ago

6 0

Answer:

g(x)=5x+7

Step-by-step explanation:

f(x)+g(x)=9x+4

We are given f(x)=4x-3.

So we insert 4x-3 for f:

4x-3+g(x)=9x+4

Subtract 4x on both sides:

-3+g(x)=5x+4

Add 3 on both sides:

g(x)=5x+7

Check:

f(x)+g(x)

=(4x-3)+(5x+7)

=(4x+5x)+(-3+7)

=(9x) +(4)

=9x+4

Bingo. We did it! :)

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2 years ago

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3 years ago

What's is the square root of 63

QveST [7]

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3 years ago

On a certain route, an airline carries 8000 passengers per month, each paying $70.A market survey indicates that for each $1

son4ous [18]

Answer:

The maximum revenue is $661,250.

Step-by-step explanation:

The total revenue (R) is the product between the number of passengers (N) and the price of each ticket (P), so the inicial revenue is:

R = N * P = 8000 * 70 = $560,000

For each 1$ increase in the ticket, the airline loses 50 passengers, so if we call "x" the increase in the ticket price, we have that the revenue equation will be:

R = (8000-50*x) * (70+x) = 560000 + 8000*x - 50*70*x -50x2

R = -50*x2 + 4500*x + 560000

The value of x that gives the maximum value of a quadratic function is found using the formula:

x = -b/2a

where a and b are coefficients of the quadratic equation (in our case, a = -50 and b = 4500)

So the value of x that gives the maximum revenue is:

x = -4500 / (-100) = 45

Using this value in the revenue equation, we have that the maximum R is:

R = -50*45^2 + 4500*45 + 560000 = $661,250

(To get this revenue, the ticket will cost 70+45 = $115 and there will be 8000-50*45 = 5750 passengers)

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2 years ago