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Inga [223]
3 years ago
8

List the following in order from least steep to most steep.

Mathematics
1 answer:
klemol [59]3 years ago
5 0

Answer:

  • h(x), f(x), j(x), g(x)

Step-by-step explanation:

<u>Given functions</u>

  • f(x)= -3/4x
  • g(x)= -5x
  • h(x)= 5/7x
  • j(x)= 11/3x

To compare steepness we'll compare absolute values of slopes

The steepness increases as the slope increases

<u>The slopes are </u>

  • 3/4, 5, 5/7, 11/3

<u>Comparing the fractions</u>

  • 3/4 = 21/28, 5/7 = 20/28, so 3/4 > 5/7

And

  • 11/3 < 4  

<u>So the order is </u>

  • 5/7 < 3/4 < 11/3 < 5

<u>As functions, the order is</u>

  • h(x), f(x), j(x), g(x)
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