Answer:
The Slope of both the lines is the same.
Step-by-step explanation:
Given two co-ordinates (x1, y1) and (x2, y2), the slope of a line can be found using the formula:
For the diagonal line of the first triangle, the coordinates are (0, 0) and (2, 1)
For the diagonal line of the large triangle, the coordinates are (2, 1) and (6, 3)
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)
2x+y=3
- x+y=5
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x=-2
2(-2)+y=3
y=7
-2+y=5
y=7
(-2,7)
Answer:
If only Jim purchased a cup of coffee, we will subtract its cost from the total;
9.50 - 1.00 = 8.50
Assuming that the two purchased nothing else for breakfast, and that the cost of an egg scramble was the same for both, let's call the price of the egg scramble x.
Since they both bought eggs, then 2x = 8.50
x = $4.25, the price for each egg scramble
