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timama [110]
2 years ago
11

3x-8<23 and -4x+26>6

Mathematics
1 answer:
Papessa [141]2 years ago
3 0

Answer:

3x-8<23 and -4x+26>6

x<31/3            x<5

Step-by-step explanation:

3x-8<23

Add 8 to both sides

3x<31

Then divide 3 to both sides

x<31/3


and -4x+26>6

Minus 26 to both sides

-4x>-20

You divide -4 to both sides

Keep in mind that everytime you divide a negative the inequality will change so > will be <

x<5

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A fisherman can row upstream at 4 mph and downstream at 6 mph. He started rowing upstream until he got tired and then rowed downstream to his starting point. The distance of how far the fisherman row if the entire trip took 2 hours is  9.6 miles

<u />

The speed of an object refers to the change of the object's distance within a specified time.

Mathematically, we can have;

\mathbf{Speed =\dfrac{distance}{time}}

Distance = speed × time

From the information given;

  • The fisherman row upstream for 4 miles/ hour.
  • The distance covered by the fisherman = 4 × t₁  ----- (1)

  • The fisherman row downstream at 6 miles/ hour
  • The distance covered by the fisherman = 6 × t₂  ------ (2)

  • SInce it took the entire trip 2 hours, we can infer that:

  • t₁ + t₂ = 2
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From equation (2), replace the above value of t₂ into equation (2)

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Equation both distance together, we have:

  • 12 - 6t₁ = 4t₁
  • 12 = 4t₁ + 6t₁
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From t₂ = 2 - t₁

  • t₂ = 2 - 1.2
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Replace t₁ with 1.2 hours

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Also, from d = 6t₂

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The function f(g(2)) is an illustration of a composite function

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