Answer: The number of drinks she bought would be <u><em>6</em></u> and the number of pretzels she bought would be <u><em>10. </em></u>
In 1 pint there are 2 cups.
Therefore, in 15 pints there are 30 cups.
Problem 1
Domain = {-1, -3, 2, 1}
Range = {5, 0, 2}
The domain is the set of possible inputs and the range is the set of possible outputs. This is a function because each input goes to exactly one output.
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Problem 2
This is a function as well. We do not have any input going to multiple outputs.
Domain = {-2, -3, 5}
Range = {6, 7, 8}
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Problem 3
This is not a function. The input -4 goes to more than one output (outputs 3 and -1 at the same time)
Domain = {-4, -2, 0}
Range = {3, -1, -2, 4}
Answer:
Total charge= -25
Step-by-step explanation:
Given :
Charges of some ions
Aluminium +3
Phosphate -3
Chloride -1
Silver +1
To find total charge on 8 phosphate,7 chloride and 2 Aluminium atoms
Aluminium +3 × 2 =+6
Phosphate -3 × 8 = -24
Chloride -1 × 7 = -7
total charge=
+6-24-7 =+6 -31
= -25
Answer: Choice C) {6, 9, 12}
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Explanation:
Something like choice A can't form a triangle because the first two sides add to 6+9 = 15, which is <u>not</u> longer than the third side 15. We need to have x+y > z to be true. The same goes for choice B as well because 3+3 = 6 is too small compared to the third side 7. Choice D is similar to choice A.
In short, we can rule out choices A, B, and D.
The only thing left is choice C. Picking any two sides leads to having that sum be larger than the third side
- 6+9 = 15 which is larger than 12
- 9+15 = 24 which is larger than 6
- 6+15 = 21 which is larger than 9
So the conditions of the triangle inequality theorem work out here, and we have a triangle.
