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ANEK [815]
3 years ago
10

Given f(x)=x^2 - 6x + 8 and g(x) = x - 2, solve f(x) = g(x) using a table of values.

Mathematics
1 answer:
Eduardwww [97]3 years ago
5 0
Set the two functions equal to each other and solve for x

x^2-6x+8=x-2
-x. -8 -x-8
x^2-7x=-10
x(x-7)=-10
x=-10 x-7=-10
+7 +7
x=-10 & x=-3
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Does the table show a direct proportional relationship? If so, what is the constant of proportionality?
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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.

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3 years ago
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Stels [109]

Answer:

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Step-by-step explanation:

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3 years ago
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