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baherus [9]
3 years ago
14

What are the solutions of the equation x^6-9x^3+8= 0 use u substitution to solve

Mathematics
1 answer:
labwork [276]3 years ago
7 0

Answer: x = {1, 2}

<u>Step-by-step explanation:</u>

x⁶ - 9x³ + 8 = 0

Let u = x³  

⇒ (x³)² - 9(x³)¹ + 8(x³)⁰ = 0

⇒ u² - 9u + 8 = 0

⇒ (u - 1)(u - 8) = 0

⇒ u = 1 or u = 8

Replace u with x³

x³ = 1     or   x³ = 8

Take the cubed root of each side

x = 1     or     x = 2

 

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Divide 28 bottles of water into two groups so the ratio is 3 to 4. Be sure to show your work.
tatyana61 [14]

Answer:

12:16

Step-by-step explanation:

28 split into two groups could be 12 : 16. To check the work, see if 3/4 is equal to 12/16. It is, so this is the accurate ratio, as 12 + 16 = 28 and 12/16 = 3:4.

4 0
2 years ago
I NEED HELP PLEASE ?!!
Fittoniya [83]
The circle equation is in the format (x – h)² + (y – k)² = r², with the center being at the point (h, k) and the radius being "r".

QUESTION 11.
Equation x²+y²+10x-14y-7 =0 can be rewritten as: x²+10x+25 + y² -14y + 49 -7 - 25 - 49=0
It can be factories as (x + 5)² + (y – 7)² = 9²

Therefore the radius equals 9 and the center is (-5,7)

QUESTION 12.
From equation (x + 4)² + y² = 121

The radius equals √121 = 11 and the center is (-4,0)

QUESTION 13.
As there are missing information in the question, I can't assist. However, you can use the general circle equation (x – h)² + (y – k)² = r² to solve the question.

Finally equations 14 & 15 aren't linear.

Hope that helps you :)
5 0
3 years ago
Let M = {2, 5, 7} and N = {4, 5, 8}.
levacccp [35]
C is the answer of the questions
5 0
3 years ago
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3 years ago
Classify each function. (a) y = x − 3 x + 3 root function logarithmic function power function trigonometric function rational fu
Studentka2010 [4]

Answer:

a) rational

b) rational

c)exponential

d) power function

e) polynomial function of degree 6

f) trig function

Step-by-step explanation:

Functions can be classified by the operations they contain. Remember the following functions:

  • Power function has as its main operation of an exponent on the variable.
  • Root function has as its main operation a radical.
  • Log function has as its main operation a log.
  • Trig function has as its main operation sine, cosine, tangent, etc.
  • Rational exponent has as its main function division by a variable.
  • Exponential function has as its main operation a variable as an exponent.
  • Polynomial function is similar to a power function. It has as its main function an exponent of 2 or greater on the variable.

Below is listed each function. The bolded choice is the correct type of function:

(a) y = x − 3 / x + 3 root function logarithmic function power function trigonometric function rational function exponential function polynomial function of degree 3

(b) y = x + x2 / x − 2 power function rational function algebraic function logarithmic function polynomial function of degree 2 root function exponential function trigonometric function

(c) y = 5^x logarithmic function root function trigonometric function exponential function polynomial function of degree 5 power function

(d) y = x^5 trigonometric function power function exponential function root function logarithmic function

(e) y = 7t^6 + t^4 − π logarithmic function rational function exponential function trigonometric function power function algebraic function root function polynomial function of degree 6

(f) y = cos(θ) + sin(θ) logarithmic function exponential function root function algebraic function rational function power function polynomial function of degree 6 trigonometric function

3 0
3 years ago
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