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wel
3 years ago
14

(2k2 - 8k + k4) - (7k+8k^2-5k^4) simplify each difference. write the final answer in standard form. identify the leading coeffic

ient and the constant. show all work
Mathematics
1 answer:
charle [14.2K]3 years ago
5 0

Answer:

-7k-8k^2+5k^4

Step-by-step explanation:

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An outlier, it's when a number is much greater or lower than all the rest of the numbers.
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3 years ago
Solve for x: 4(x+5)=3(x-2)-2(x+2)
Zina [86]

Answer:

x = -10

Step-by-step explanation:

Solve the equation by simplifying according to PEMDAS. Then use inverse operations to solve.

4(x+5) = 3(x-2) -2(x+2)

4x + 20 = 3x - 6 - 2x - 4

4x + 20 = x - 10

3x = -30

x = -10

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3 years ago
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Step-by-step explanation:

6 0
3 years ago
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

7 0
3 years ago
which transformations of the graph of f(x) = -4^x result in the graph of f(x) = 4^x 3? reflection over the x-axis and shifted 3
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Reflection over the y-axis and shifted 3 units up
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3 years ago
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