Answer: 6 pounds of French roast coffee and 14 pounds of Sumatran coffee was used.
Step-by-step explanation:
Let x represent the number of pounds of French roast coffee that should be added in the blend.
Let y represent the number of pounds of Sumatran coffee that should be added in the blend.
The total number of pounds of the mixture made is 20 lb. This means that
x + y = 20
The mixture sells for $8.30 a pound. The total cost of the mixture would be
8.3 × 20 = 166
This means that
9x + 8y = 166 - - - - - - - - -1
Substituting x = 20 - y into equation 1, it becomes
9(20 - y) + 8y = 166
180 - 9y + 8y = 166
- 9y + 8y = 166 - 180
- y = - 14
y = 14
x = 20 - y = 20 - 14
x = 6
since the original price was ninety we have to multiply 5/6 by 90
90/1(5/6)
=450/6
=75
Mathematically, t can take any value, so the domain would be R.
In reality (physics), I would expect t≥0.
Mathematically, the range is h≤98/5, and will become infinitely negative.
In reality, h is probably ≥0, making the range 0 ≤ h ≤ 98/5.
So it depends on whether you want to take the real-world limitations into account. Seen as how they are mentioned in the question prominently, I would do so.
It takes Allen 0.375 hours to run one mile. To run three miles, it would take him 1.125 hours, or 67.5 minutes.
Answers:
Graph A is a function
Graph B is not a function
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Explanation:
To check if we have function or not, we apply the vertical line test. This test is where you ask yourself: "Is it possible to draw a single vertical line through more than one point on the curve?"
If the answer to that question is "yes it is possible", then we do not have a function. Graph B shows that we can draw a line through say x = 2 and have the vertical line intersect at points (2,2) and (2,4). The input x = 2 leads to multiple outputs y = 2 and y = 4 simultaneously. This is why graph B is not a function.
A function is only possible when any x input from the domain leads to exactly one y output in the range. Graph A is a function because we cannot draw a single vertical line to intersect through that curve more than once.