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Gemiola [76]
3 years ago
7

A farmer with 650 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to o

ne side of the rectangle. What is the largest possible total area of the four pens? (a) Draw several diagrams illustrating the situation, some with shallow, wide pens and some with deep, narrow pens. Find the total areas of these configurations. Does it appear that there is a maximum area? If so, estimate it. (b) Draw a diagram illustrating the general situation. Let x denote the length of each of two sides and three dividers. Let y denote the length of the other two sides. (c) Write an expression for the total area A in terms of both x and y. (d) Use the given information to write an equation that relates the variables. (e) Use part (d) to write the total area as a function of one variable. (f) Finish solving the problem by finding the largest area.

Mathematics
1 answer:
vichka [17]3 years ago
4 0

Answer:

Step-by-step explanation:

chect attachment for step by step details. attachment 2 is the (b) part of the question.

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We can't find explicit values for x and y, since there is only one equation, but two variables.


The best we can do is solve for one variable with respect to the other:


Solve for x:


subtract 5y from both sides:


110-5y = 9x


divide both sides by 9:


\frac{110-5y}{9} = x


Solve for y:


subtract 9x from both sides:


110-9x = 5y


divide both sides by 5:


\frac{110-9x}{5} = y



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16 3/7−4 3/4 Please solve in mixed number form
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Answer: Heyaa!!

327/28

Step-by-step explanation:

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10.12 divided by 4.4 show work
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The following table gives projections of the U.S. population from 2000 to 2100.
PSYCHO15rus [73]

The equation of best fit is f(X) = 2.91964X + 265.86364.

f(65) = 455.64024. It means that the population, in millions, after 65 years from 2000 is 455.64024.

The slope of the line is 2.91964 which means population is increasing at the rate of 2.91964 per year.

Sum of X = 550

Sum of Y = 4530.3

Mean X = 50

Mean Y = 411.8455

Sum of squares (SSX) = 11000

Sum of products (SP) = 32116

Regression Equation = y = bX + a

b = \frac{SP}{SSX} = \frac{32116}{11000} = 2.91964

a = MY - bMX = 411.85 - (2.92*50) = 265.86364

y = 2.91964X + 265.86364

f(X) = 2.91964X + 265.86364

f(65) = 2.91964\times 65 + 265.86364

f(65) = 189.7766 + 265.86364

f(65) = 189.7766 + 265.86364

f(65) = 455.64024

It means that the population, in millions, after 65 years from 2000 is 455.64024.

From the equation, f(X) = 2.91964X + 265.86364

the slope of the line is 2.91964 which means population is increasing at the rate of 2.91964 per year.

Learn more about line of best fit here:

brainly.com/question/14279419?referrer=searchResults

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2 years ago
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