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Vinil7 [7]
3 years ago
11

The values of x and y are proportional. Determine the constant of proportionality(k)

Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0
<h3>The constant of proportionality is k = 5</h3>

For direct proportion equations, you divide the y value over its corresponding x value to get the value of k.

For example, the point (x,y) = (2,10) is on the diagonal line. So k = y/x = 10/2 = 5.

Another example: the point (x,y) = (6, 30) is also on the same diagonal line, so k = y/x = 30/6 = 5 is the same result as before.

You can use any point on the diagonal line as long as it is not (0,0). This is because division by zero is not allowed.

side note: the direct proportion equation y = k*x becomes y = 5*x which is the graph of that diagonal line. The slope is m = 5, the y intercept is b = 0. All direct proportion graphs go through the origin as shown in the diagram.

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Show working please
shutvik [7]

Answer:

Step-by-step explanation:

       1.159 R (remainder) 42

     | ------------------------

73  | 84.649

      -73

       116 (brought 6 down)

       -73

         434 (brought 4 down)

         -365

          699 (brought 9 down)

         -657

             42 is the remainder

6 0
3 years ago
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Prior to September, 2000, taxi fares from Washington DC to Maryland were described as follows: $2.00 up to and including 1⁄2 mil
GREYUIT [131]

The piecewise function is

f(x) = 2, 0 < x ≤ 1/2

f(x) = 2 + 0.7x, x > 1/2

<h3>How to determine the piecewise function?</h3>

From the question, we have:

Fares = $2.00 ⇒ up to (and including) 1/2 miles

Fares = $0.70 increment ⇒ greater than 1/2 miles

Let x represent the number of miles, and f(x) the fares.

So, we have:

f(x) = 2, 0 < x ≤ 1/2

f(x) = 2 + 0.7x, x > 1/2

The above represents the piecewise function

Read more about piecewise function at:

brainly.com/question/18859540

#SPJ1

3 0
2 years ago
Please help me with this one question. THANKS!
geniusboy [140]
The answer is A y-28=3(x-6)
4 0
3 years ago
Mary has completed 8 problems of her 20 question test. How much of the test has she completed in fraction form (simplity!)
allochka39001 [22]

Answer:

2/5

Step-by-step explanation:

She completed 8 out of 20 so we divide 8 by 20

8/20 can be simplified if we divide both the numerator and denominator by 4

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3. Simplify: 144 = 6x
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