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dem82 [27]
3 years ago
5

Rancher juan wants to enclose a rectangular area beside a river. there are 240 yards of fencing available. what is the largest t

otal area that can be enclosed?
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
3 0
Perimeter = 2L + 2W →  240 = 2L + 2W  →  120 = L + W  → 120-L = W
Area = L x W  → Area = L(120-L)  →  Area = 120L - L²
Find the derivative:
dA/dL = 120 -2L → 0 = 120 - 2L → L = 60

Area = 120L - L² = 120(60) - (60)²  = 7200 - 3600 = 3600

The maximum area is 3600 yds²
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On a piece of paper, graph f(x) = 4 x (0.5)^x
tangare [24]

The complete question is

"On a piece of paper, graph f(x) = 4. (0.5)^x Then determine which answer choice matches the graph you drew."

The given function is an exponential function. The graph of option C is the correct answer.

<h3>What are exponential functions?</h3>

When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function.

There usual form is specified below. They are written in several such equivalent forms.

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6 0
1 year ago
Each line represents a proportional relationship. Write an equation for each line. Show your work.
tiny-mole [99]

Answer:

The equation of line a is y = x

The equation of line b is y =  \frac{2}{3} x

Step-by-step explanation:

The equation of the proportional is y = m x, where

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→ Substitute in the form of the equation above

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3 years ago
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Digiron [165]

Answer:

The easiest way of solving this is to eliminate one of the variables.  If you multiply each of the equations by a number so you can add the equations together and have only one variable left, you can solve the single variable equation.  Try multiplying the first equation by 11, the second by -10 and adding them, thus eliminating the y  variable.  After this, substitute that value you have for x and solve for y.  I hope this helps.

Step-by-step explanation:

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