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vfiekz [6]
3 years ago
9

The graph of a proportional relationship passes through the point (5, 2) . What is the constant of proportionality of the relati

onship?
Mathematics
2 answers:
Vladimir79 [104]3 years ago
7 0

Answer:

2/5

Step-by-step explanation:

x = 5

y = 2

y = cx

2 = c × 5

c = 2/5

So, the constant of proportionality of the relationship is 2/5

serious [3.7K]3 years ago
3 0

Answer:

  • 2/5

Step-by-step explanation:

<u>Proportional relationship is:</u>

  • y = kx, where k is the constant of proportionality

We have a point (5, 2). it means x = 5, y = 2

<u>Substitute x and y and find k:</u>

  • 2 = k*5
  • k = 2/5
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f= -2/3

Step-by-step explanation:

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Step 1: Simplify both sides of the equation.

3f=−2

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Estimate the area under the curve f(x) = x2 from x = 1 to x = 5 by using four inscribed (under the curve) rectangles. Answer to
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Lapatulllka [165]
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2/5

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Show all work to identify the asymptotes and end behavior of the function f(x)= 5x/x-25.
jeyben [28]

Considering the given function and the asymptote concept, we have that:

  • The vertical asymptote is of x = 25.
  • The horizontal asymptote is of y = 5.
  • The end behavior is that as x \rightarrow \infty, f(x) \rightarrow 5.

<h3>What are the asymptotes of a function f(x)?</h3>

  • The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
  • The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity. Hence it also gives the end behavior of the function.

In this problem, the function is:

f(x) = \frac{5x}{x - 25}.

The vertical asymptote is found as follows:

x - 25 = 0 -> x = 25.

The horizontal asymptote is found as follows:

y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{5x}{x - 25} = \lim_{x \rightarrow \infty} \frac{5x}{x} = \lim_{x \rightarrow \infty} 5 = 5.

Hence the end behavior is that as x \rightarrow \infty, f(x) \rightarrow 5.

More can be learned about asymptotes at brainly.com/question/16948935

#SPJ1

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2 years ago
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My name is Ann [436]

Answer:

1. Rational

2. Integer

3. Irrational

4. Irrational

5. Imaginary

8 0
3 years ago
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