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3 years ago

Rewrite x - 2y = 8 using function notation. A) x - 2f(x) = 8 B) f(x) = -x + 8 C) f(x) = 2x + 8 D) f(x) = 1 2 x - 4

Mathematics

2 answers:

Lostsunrise [7]3 years ago

8 0

That would be f(x) = 1/2 x - 4

Valentin [98]3 years ago

4 0

Answer:

Step-by-step explanation:

A first order equation has the following format:

$y = ax + b$

In function notation, we use y = f(x), so:

$f(x) = ax + b$

In this problem:

x - 2y = 8

(-2y = 8 - x)*(-1)

2y = x - 8

y = (1/2)x - 4

f(x) = (1/2)x - 4

So the correct answer is

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Answer:

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Step-by-step explanation:

The equations are:

$y = x^{2} + 2x + 3$

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The two graphs intersect when:

$x^{2} + 2x + 3 = 2x + 12$

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To find the area under the curve for the first equation:

$A_{1} = \int\limits^3__-3}{x^{2} + 2x + 3} \, dx$

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To find the total area:

$A = A_{2} -A_{1} = \int\limits^3__-3}{2x + 12} \, dx -\int\limits^3__-3}{x^{2} + 2x + 3} \, dx$

Simplifying the equation:

$A = \int\limits^3__-3}{2x + 12}-({x^{2} + 2x + 3}) \, dx = \int\limits^3__-3}{9}-{x^{2}} \, dx$

Note: The reason the area is equal to the area two minus area one is that the line, area 2, is above the region of interest (see image).

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Which expression is equivalent to the area of square A, in square inches?

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Answer:

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Step-by-step explanation:

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3 years ago

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The test to detect the presence of a certain protein is 98% accurate for corn plants that have the protein and 97% accurate for

larisa [96]

Using the given percentages, it is found that the probability that a randomly chosen plant is detected incorrectly is 0.02965 = 2.965%.

<h3>Percentages:</h3>

The percentages associated with an incorrect detection are:

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You can learn more about percentages and probabilities at brainly.com/question/25960993

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