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ella [17]
3 years ago
7

Find (x - 6)2

Mathematics
2 answers:
Sever21 [200]3 years ago
7 0
Its 4-6=2 its easy because just keep useing numbers until the become two


IRISSAK [1]3 years ago
5 0
The answer is b if the question is (x-6)^2 and NOT (x-6)2

(x-6)^2= 2x +12x +36
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Find the 2nd Derivative:<br> f(x) = 3x⁴ + 2x² - 8x + 4
ad-work [718]

Answer:

f''(x)=36x^2+4

Step-by-step explanation:

Let's start by finding the first derivative of f(x)= 3x^4+2x^2-8x+4. We can do so by using the power rule for derivatives.

The power rule states that:

  • \frac{d}{dx} (x^n) = n \times x^n^-^1

This means that if you are taking the derivative of a function with powers, you can bring the power down and multiply it with the coefficient, then reduce the power by 1.

Another rule that we need to note is that the derivative of a constant is 0.

Let's apply the power rule to the function f(x).

  • \frac{d}{dx} (3x^4+2x^2-8x+4)

Bring the exponent down and multiply it with the coefficient. Then, reduce the power by 1.

  • \frac{d}{dx} (3x^4+2x^2-8x+4) = ((4)3x^4^-^1+(2)2x^2^-^1-(1)8x^1^-^1+(0)4)

Simplify the equation.

  • \frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x^1-8x^0+0)
  • \frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x-8(1)+0)
  • \frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x-8)
  • f'(x)=12x^3+4x-8

Now, this is only the first derivative of the function f(x). Let's find the second derivative by applying the power rule once again, but this time to the first derivative, f'(x).

  • \frac{d}{d} (f'x) = \frac{d}{dx} (12x^3+4x-8)
  • \frac{d}{dx} (12x^3+4x-8) = ((3)12x^3^-^1 + (1)4x^1^-^1 - (0)8)

Simplify the equation.

  • \frac{d}{dx} (12x^3+4x-8) = (36x^2 + 4x^0 - 0)
  • \frac{d}{dx} (12x^3+4x-8) = (36x^2 + 4(1) - 0)
  • \frac{d}{dx} (12x^3+4x-8) = (36x^2 + 4 )

Therefore, this is the 2nd derivative of the function f(x).

We can say that: f''(x)=36x^2+4

6 0
2 years ago
Read 2 more answers
Alex purchased 3 packs of baseball cards that cost $2.50 each. He also purchased 2 packs of card protectors that cost $3.00 each
vampirchik [111]

Answer:

6.50

Step-by-step explanation:

You have to add/multiply 2.50 by 3 to get the total cost of the cards. 2.50*3=7.5. then, you need to add/multiply 3.00 by 2 to get 6. 7.5+6= 13.5. 20-13.5=6.50.

the change was $6.50

6 0
3 years ago
What is perimeter? What is area? How can you find the perimeters and areas of triangles, parallelograms, rectangles, squares, an
marusya05 [52]
The perimeter of a figure is the total distance around the edge of the figure. The area of a flat, or plane figure is the number of unit squares that can be contained within it. The unit square is usually some standard unit, like a square foot or a square inch. I don't really know the rest but I did the first two lol
3 0
2 years ago
The probability of something can be expressed as a decimal or as a percent. We know that the probability of something happening
Firdavs [7]

Answer: The probability lies between 0 and 1


Step-by-step explanation:


As from the given information probability of an event lies between 0% to 100% .


To convert percent into integer or fraction we have to divide it by 100


0\%= \frac{0}{100} = 0


And


100\% = \frac{100}{100} = 1


From the above the probability of an event lie between integers 0 to 1.


3 0
2 years ago
Determine whether the triangles are congruent. Explain your reasoning .
Nookie1986 [14]

Answer:

Step-by-step explanation:

First use the fact that the sum of interior angles of a triangle is 180° to find the measure of the missing angle

in ΔDEF we have 180 -68 -81 = 31°

in ΔABC we have 180 -68 -33 = 79°

the measure of the angles in ΔABC and ΔDEF are different 33°, 68°, 79° ≠81°, 68°, 31°so the two triangles are not congruent.

6 0
2 years ago
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