a. Answer: D: (∞, ∞)
R: (-∞, ∞)
<u>Step-by-step explanation:</u>
Theoretical domain is the domain of the equation (without an understanding of what the x-variable represents).
Theoretical range is the range of the equation given the domain.
c(p) = 25p
There are no restrictions on the p so the theoretical domain is All Real Numbers.
Multiplying 25 by All Real Numbers results in the range being All Real Numbers.
a) D: (∞, ∞)
R: (-∞, ∞)
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b. Answer: D: (0, 200)
R: (0, 5000)
<u>Step-by-step explanation:</u>
Practical domain is the domain of the equation WITH an understanding of what the x-variable represents.
Practical range is the range of the equation given the practical values of the domain.
The problem states that p represents the number of cups. Since we can't have a negative amount of cups, p ≥ 0. The problem also states that Bonnie will purchase a maximum of 200 cups. So, 0 ≤ p ≤ 200
The range is 25p → (25)0 ≤ (25)p ≤ (25)200
→ 0 ≤ 25p ≤ 5000
b) D: (0, 200)
R: (0, 5000)
It means that x value is between 2 to 7 ( more than 2, but less than 7)
In notation, 2 < x < 7 or (2,7).
Answer:
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Step-by-step explanation:
<em>Your question is incomplete without an attachment (See attachment)</em>
Required
Determine the area of the shaded part
From the attachment;
<em>Assume that the shaded portion is closed to the right;</em>
<em>Calculate the Area:</em>
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<em>Next;</em>
<em>Calculate the Area of the imaginary triangle (on the right)</em>
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<em>Lastly, calculate the Area of the Shaded Part</em>
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<em>Hence,</em>
<em>The area of the shaded part is 72in²</em>
25 letters for first spot
25 letters for second spot

9 numbers
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6561 times 625
=4,100,625