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Ymorist [56]
3 years ago
8

There are a total of 114 oak and pine trees on a piece of land. There are 26 fewer oak trees than pine trees. There is a regulat

ion that the number of oak troos on this piece of land cannot exceed one-third of the total number of trees. Find how many oak and pine trees are on this piece of land and determine whether the solution is viable or nonviable A. There are 35 oak trees and 78 pine trees. The solution is viable. B. There are 35 oak trees and 78 pine trees. The solution is nonviable. C. There are 42 oak trees and 70 pine trees. The solution is nonviable D. There are 44 oak trees and 70 pine trees. The solution is viable​
Mathematics
2 answers:
krok68 [10]3 years ago
7 0

Answer:

There are 42 oak trees and 70 pine trees. The solution is nonviable.

Step-by-step explanation:

:)

umka21 [38]3 years ago
3 0

Answer:

c

Step-by-step explanation:

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A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the number of cakes sold per
dexar [7]

Answer:

The total revenue is TR=580x-10x^2.

The marginal revenue is MR=580-20x.

The fixed cost is $900.

The marginal cost function is MC=50x+300.

Step-by-step explanation:

The Total Revenue (TR) received from the sale of x goods at price p is given by

                                                         TR=p\cdot x

The Marginal Revenue (MR) is the derivative of total revenue with respect to demand and is given by

                                                       MR=\frac{d(TR)}{dx}

From the information given we know that the price they can sell cakes is given by the function p=580-10x, where x is the number of cakes sold per day.

So, the total revenue is

TR=(580-10x)\cdot x\\TR=580x-10x^2

And the marginal revenue is

MR=\frac{d}{dx}(580x-10x^2) \\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\MR=\frac{d}{dx}\left(580x\right)-\frac{d}{dx}\left(10x^2\right)\\\\MR=580-20x

The Fixed Cost (FC) is the amount of money you have to spend regardless of how many items you produce.

The Marginal Cost (MC) function is the derivative of the cost function and is given by

                                                   MC=\frac{d(TC)}{dx}

We know that the total cost function of the company is given by C=(30+5x)^2, which it is equal to

\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\a=30,\:\:b=5x\\\\\left(30+5x\right)^2=30^2+2\cdot \:30\cdot \:5x+\left(5x\right)^2=25x^2+300x+900\\\\C=25x^2+300x+900

From the total cost function and applying the definition of fixed cost, the fixed cost is $900.

And the marginal cost function is

MC=\frac{d}{\:dx}\left(25x^2+300x+900\right)\\\\MC=\frac{d}{dx}\left(25x^2\right)+\frac{d}{dx}\left(300x\right)+\frac{d}{dx}\left(900\right)\\\\MC=50x+300+0=50x+300

4 0
3 years ago
Write a function rule for the output is 5 less than the input
san4es73 [151]

Answer:

y=x-5

Step-by-step explanation:

"output" means  y

and "input" means  x

So all you need to find is the =

Please mark brainliest and have a great day!

7 0
2 years ago
Help me with this please !
andriy [413]
The y intercept is 3 because that is where the point aligns to the axis
3 0
2 years ago
Read 2 more answers
Carman spent 42$ on 6 hats how much did each hat cost. Its for my sisters elementary school class and i dont even know the awnse
Travka [436]

Answer: 7

Step-by-step explanation:

Step 1: Since it is asking how much each hat costed. We would divide.

             42$ divide 6 = 7$ per hat


8 0
3 years ago
Which situations illustrate that the sum of opposite numbers is zero?
Mrac [35]
I believe C and E, because in C, he puts in 600 then takes out 600, which equals 0. in E, they get 3000 and then spend the 3000, which also equals 0.
3 0
2 years ago
Read 2 more answers
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