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slava [35]
4 years ago
6

Find dy/dx if f(x) = (x + 8)^3x.

Mathematics
1 answer:
just olya [345]4 years ago
8 0
I hope this helps you



f'(x)= 3x. (x+8)^(3x-1)
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Pls help sixowiskosixo
erma4kov [3.2K]

The given question is a quadratic equation and we can use several methods to get the solutions to this question. The solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4

<h3>Quadratic Equation</h3>

Quadratic equation are polynomials with a second degree as it's highest power.

An example of a quadratic equation is

y = ax^2 + bx + c

The given quadratic equation is 24x^2 + 2x = 15

Let's rearrange the equation

24x^2 + 2x = 15\\24x^2 + 2x - 15 = 0

This implies that

  • a = 24
  • b = 2
  • c = -15

The equation or formula of quadratic formula is given as

y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}

We can substitute the values into the equation and solve

y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\y = \frac{-2 +- \sqrt{2^2 -4 * 24 * (-15)} }{2*24} \\y = \frac{-2+-\sqrt{4+1440} }{48} \\y = \frac{-2+-\sqrt{1444} }{48} \\y = \frac{-2+- 38}{48} \\y = \frac{-2+38}{48} \\y = \frac{3}{4}\\ \\or\\y = \frac{-2-38}{48} \\y = \frac{-40}{48} \\y = -\frac{5}{6}

From the calculations above, the solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4

Learn more on quadratic equation here;

brainly.com/question/8649555

#SPJ1

7 0
2 years ago
I NEED HELP ON THIS PLZ ASAP!!!
podryga [215]

Answer:

The answer is B.

Step-by-step explanation:

Hope it helps!!

4 0
3 years ago
“Hunter tutors students in mathematics to earn
Anna007 [38]

Answer:

Step-by-step explanation:

4 0
3 years ago
Find the volume of this object.
Tems11 [23]

Answer:

408 cm^3

Step-by-step explanation:

You have to find the volume of each object individually. You first find the volume of the sphere, so you input the radius, which is 3, into the equation which comes out to be 108 cm^3. You then have to find the volume of the cylinder, and since you have the diameter of the cylinder, and you need the radius, and the radius is half of the diameter, you would input 5 into the equation as the radius, since half of 10 is 5. That comes out to be 300 cm^3, so then you add the two volumes together, which is 408 cm^3

7 0
2 years ago
Write two equivalent expressions to represent the perimeter of this rectangle.
Harlamova29_29 [7]
P= (2)(x-2)+(2)(5)
P= (x-2)+(x-2)+5+5
8 0
1 year ago
Read 2 more answers
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