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Semenov [28]
2 years ago
12

Which ordered pair is a solution of the linear equation shown in the graph above?

Mathematics
1 answer:
Elena L [17]2 years ago
5 0

First one is #2

Second one is #1

I'm positive about this

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Fraction \ of \ allowence \ spent \ on \ magazines = \dfrac{5}{8}*\dfrac{2}{3}=\dfrac{5*1}{4*3}=\dfrac{5}{12}

Fraction left = 1 -\dfrac{5}{12}=\dfrac{12}{12}-\dfrac{5}{12}=\dfrac{12-5}{12}=\dfrac{7}{12}

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3 years ago
A line has a slope of -5 and passes through (1,-1).which is the equation of the line in point - slope form?
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Read 2 more answers
Does the table show a direct proportional relationship? If so, what is the constant of proportionality?
lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality (k) is described by the following expression:

k = \frac{y}{x} (1)

Where:

x - Input.

y - Output.

If we know that (x_{1}, y_{1}) = (13, 45.5), (x_{2}, y_{2}) = (14, 49) and (x_{3}, y_{3}) = (15, 52.5), then the constants of proportionalities of each ordered pair are, respectively:

k_{1} = \frac{y_{1}}{x_{1}}

k_{1} = \frac{45.5}{13}

k_{1} = \frac{7}{2}

k_{2} = \frac{y_2}{x_2}

k_{2} = \frac{49}{14}

k_{2} = \frac{7}{2}

k_{3} = \frac{y_{3}}{x_{3}}

k_{3} = \frac{52.5}{15}

k_{3} = \frac{7}{2}

Since k_{1} = k_{2} = k_{3}, the constant of proportionality is 3.5.

8 0
3 years ago
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