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Klio2033 [76]
2 years ago
15

What is the inverse of f(x)=(4x-3)/7

Mathematics
1 answer:
iragen [17]2 years ago
5 0

Answer:

f(x)^-1 =  \frac{1}{28} x + \frac{3}{4}

Step-by-step explanation:

f(x) = (4x - 3) / 7

y = (4x - 3) / 7

x = (4y - 3) / 7

x / 7 = 4y - 3

x/7 + 3 = 4y

y = \frac{1}{28} x + \frac{3}{4}

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Read 2 more answers
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 20 N acts on
jeka94

The acceleration of the object will be 10 m/s²

Step-by-step explanation:

Direct variation is a relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other

  • If y varies directly with x, then y ∝ x
  • y = k x, where k is the constant of variation

For a moving object, the force acting on the object varies directly with the object's acceleration.

Assume that the force is F and the acceleration is a

∵ F ∝ a

∴ F = k a

∵ F = 20 newtons

∵ a = 4 m/s²

- Substitute these values in the equation above to find k

∵ 20 = k (4)

∴ 20 = 4 k

- Divide both sides by 4

∴ k = 5

- Substitute the value of k in the equation

∴ F = 5 a ⇒ equation of variation

∵ F = 50 Newtons

∵ F = 5 a

∴ 50 = 5 a

- Divide both sides by 5

∴ 10 = a

∴ a = 10 m/s²

The acceleration of the object will be 10 m/s²

Learn more:

You can learn more about variation in brainly.com/question/10708697

#LearnwithBrainly

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3 years ago
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