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saw5 [17]
3 years ago
12

The sides of a rectangle are a number and 4 less than that same numbers. The perimeter is 56. Find the dimensions of the rectang

le. write an algebraic expression or equation to represent the verbal expression.
Mathematics
1 answer:
Rzqust [24]3 years ago
8 0

Answer: find the answer in the explanation.

Step-by-step explanation:

You are given that the sides of a rectangle are a number and 4 less than that same numbers.

Let the length side = L

And width side = L - 4

The dimensions of the rectangle will be

Area = length × width

L × ( L - 4 )

Open the bracket

L^2 - 4L

The verbal expression here,

Perimeter = L + L + W + W

Substitute all the parameters into the formula

56 = L + L + L-4 + L-4

56 = 2L + 2L - 8

56 = 4L - 8

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Step-by-step explanation:

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Also from the diagram, ∠OQP + ∠PQT = ∠OQT;

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2 years ago
The cost and revenue functions for producing and selling x units of a product are given. Cost and revenue are expressed in dolla
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Answer:

(A) the number of units produced and sold at break-even point is the value of X and that is 1.126 units.

(B) the dollar amount coming in and going out at this point/level is the price of X and that is 0.37 dollars

(C) the profit function for X units produced and sold is: π(x) = R(x) - C(x)

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Step-by-step explanation:

(A) C(x) = 75x + 84 ...(equation 1)

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To find X, equate the cost function to the revenue function

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Since quantity cannot be negative in real life situation, we use the modulus of X in place of the above value.

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Break-even point is the point where cost = revenue

This is also the point where profit is zero because profit = revenue - cost

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