Answer:
(1,4) and (1,0)
Step-by-step explanation:
These have the same first coordinate and different second coordinates, meaning that it cannot be a function. For it to be a function, the x coordinates have to be different numbers.
Answer:
y = 250x + 1000
Step-by-step explanation:
we know, it is a linear function.
so, y = ax + c
we have multiple data points all on the line.
(4,2000)
2000 = a×4 + c, => c = 2000 - a×4
(7,2750)
2750 = a×7 + c
=> 2750 = a×7 + 2000 - a×4 = a×3 + 2000
=> 750 = a×3
=> a = 250
=> c = 2000 - 250×4 = 2000-1000 = 1000
Answer:3
Step-by-step explanation:
Answers:
Domain = [-3, 3]
Range = [-1, 2]
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Explanation:
The domain is the set of all allowed x inputs. Visually, the left-most point is when x = -3, so -3 is the smallest allowed x input. We have a closed circle at this endpoint, so this endpoint x value is included. In contrast, if you had an open circle, then you would exclude the endpoint.
Similarly, we have a closed endpoint at the other side as well when x = 3. This is the largest allowed x value. The domain is the set of x values such that
meaning x is between -3 and 3, including both endpoints. This translates to the interval notation of [-3, 3]. The square brackets say "include the endpoint".
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The range is the set of possible y outputs of a function. The lowest the function goes is when y = -1, and the highest is when y = 2. We include both endpoints. The range as a compound inequality is
which converts to the interval notation of [-1, 2]
Answer:
y = -5/3x + 4/3z
Step-by-step explanation:
5x + 3y = 4z
3y = -5x + 4z
y = -5/3x + 4/3z