and the tables represent two linear functions in a system
what solution to the system?
Answers
Answer:
The 'x' and 'y' values representing the solution of the system containing the two linear functions are;
x = -14, and y = -54
Step-by-step explanation:
From the given data table, we have;
The slope of the linear function on the left, 'm', is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
∴ m = (14 - (-22))/(3 - (-6)) = 4
Therefore, the equation in point and slope form we have;
y - 14 = 4·(x - 3)
y = 4·(x - 3) + 14
Similarly for the second linear function on the right, we have;
m = (-3 - (-30))/(3 - (-6)) = 3
Therefore, the equation in point and slope form we have;
y - (-3) = 3·(x - 3)
y = 3·(x - 3) - 3
Equating both 'y' values gives;
4·(x - 3) + 14 = 3·(x - 3) - 3
4·x + 2 = 3·x - 12
4·x - 3·x = x = -12 - 2 = -14
x = -14
y = 4·(x - 3) + 14 = 4 × (-14 - 3) + 14 = - 54
y = -54
Therefore, the solution of the system containing the two linear functions is x = -14, and y = -54
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Answer:
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Step-by-step explanation:
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Answers
Answer:
a = 7
Step-by-step explanation:
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Add 18 to each side:
3 + 18 - 6a = - 3a - 18 + 18
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Find the area of a regular octagon with side length 6 cm
Answers
Answer:
173.82cm²
Step-by-step explanation:
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Step-by-step explanation:
If the sales tax rate is 8.2% in California, then how much would you pay in Los Angeles
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Answers
Answer:
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Step-by-step explanation:
The sales tax rate = 8.25 = 0.0825 [Divide by 100 to convert in decimal]
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Answer:
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Step-by-step explanation:
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Answers
18+9
27
Therefore, the answer would be 27
Answer:
27
Step-by-step explanation:
3(6) + 3^2 = 18 + 9 = 27
You just have to plug the number in and solve it.
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Answers
Answer: 313.6
Step-by-step explanation:
7 x 44.8 = 313.6
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Answer:
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Step-by-step explanation:
Given the scatter plot, choose the function that best fits the data.
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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47.7
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Answer:
Determining the amount of wrapping paper needed to wrap a birthday gift.
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Determining the amount of carpet needed to cover the floor of a room.
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Enter your answer in the box.
Answers
Answer:
Step-by-step explanation:
they want to know the lowest point of the line that is graphed, do you see that it's -2 ?
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Answer:
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Step-by-step explanation:
Answer:
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Answer:
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Answers
Answer:
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