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Mekhanik [1.2K]
3 years ago
5

Consider the following.f(x)=74 – x2Find the x-values at which f is not continuous. Which of the discontinuities are removable?

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
6 0

Answer

given,

f(x) = 74 - x²

A function is continuous when it is differential at all the points.

f'(x) =\dfrac{d}{dx}(74-x^2)

f'(x) =- 2 x

so, the given function is continuous for all the value of x.

We should know that if a function is quadratic then it is differential at all the point.  And if it is differential then it is definitely continuous.

Hence, there is no discontinuous point present in the equation.

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Step-by-step explanation:

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Answer:

20.3 units

Step-by-step explanation:

AB/CB = BD/AB

9/CB = 4/9

CB = 9×9/4

CB = 81/4 = 20¼ units

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7 0
3 years ago
Find the last number of the following series
trasher [3.6K]

The answer is 4) 140.

If we closely examine the pattern of the series, we see that after a number is subtracted by a value, it is multiplied by the same value, and then it moves on to the next natural number.

  • 10 - 2 = 8
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  • 16 - 3 = 13
  • 13 × 3 = 39
  • 39 - 4 = 35

The next step, according to the pattern, would be to multiply 4.

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8 0
2 years ago
Please help ❗️❗️❗️❗️ Please! I will reward brainly
zhuklara [117]
Hey there :)

We know the distance formula is:
D = \sqrt{(x2-x1)^2+(y2-y1)^2}

1) Coordinates are: ( -10, -5 ) , ( 8 , 5 )
                                    ↓   ↓       ↓    ↓
                                    x₁ y₁     x₂   y₂
We plug in the values 
D =\sqrt{(8 -(-10))^2+(5-(-5))^2}
    ≈20.59 ≈ 20.6 (nearest tenth)

We do the same for the rest

2) Coordinates are ( 10 , 0 ) , ( -2 , 1 )
D = \sqrt{(-2-10)^2+(1-0)^2}
   ≈ 12.04 ≈ 12.0 (nearest tenth)

3) Coordinates are ( 4 , 8 ) , ( 7 , -8 )
D = \sqrt{((7-4)^2+(-8-8)^2}
   ≈ 16.27 ≈ 16.3 (nearest tenth)

4) Coordinates are ( -10, -4 ) , ( 8 , 8 )
D = \sqrt{(8-(-10))^2+(8-(-4))^2}
    ≈ 21.6 (nearest tenth)

5) Coordinates are ( 6 , -3 ) , ( -8 , 9 )
D = \sqrt{(-8-6)^2 + (9-(-3))^2}
   ≈ 18.4 (nearest tenth) 

You can find the matching below :)



8 0
3 years ago
What is the volume of the box
Fofino [41]

Answer:

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Step-by-step explanation:

volume = length * width * height

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V= 3/32

3 0
3 years ago
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