Answer:
6
Step-by-step explanation:
This is a problem you need to solve using logs. When you use logs you can "pull" the exponents down in front of the log to get a new equation that looks like this: 2x^3 + x^2 log 81 = 6x - 3 log 27. Now divide both sides by log 81 and 6x - 3 simultaneously to get (2x^3 + x^2)/(6x - 3) = (log 27)/(log 81). If you do the log math on the right side you get .75. Now multiply both sides by 6x-3 to get 2x^3+x^2 = .75(6x-3). If you distribute that out on the left side you'll get 2x^3+x^2=4.5x-2.25. Now move everything over to the left side and set the whole thing equal to 0: 2x^3+x^2-4.5x+2.25=0. When you solve for x, you are in essence factoring, so do this by grouping: x^2(2x+1)-2.25(2x+1). Now finally factor out the 2x+1 to get (2x+1)(x^2-2.25). You're not done yet though cuz you need to solve each of those for x: 2x+1=0, and x= -1/2; x^2=2.25, and x=+/- 1.5. So all the values for x here are -1/2, 1.5, and -1.5
Your answer is C.The relation passed the vertical line test.
Answer:
x = -6 , -2
Step-by-step explanation:
Find factors of x² and 12, in which, when combined, will give 8x:
x² + 8x + 12 = 0
x 6
x 2
(x + 6)(x + 2) = 0
Check. Use the FOIL method:
First, combine the first terms: x * x = x²
Next, combine the outside terms: x * 2 = 2x
Then, combine the inside terms: 6 * x = 6x
Finally, combine the last terms: 6 * 2 = 12
Combine like terms: x² + (2x + 6x) + 12
x² + 8x + 12
Solve for the solutions. Set each parenthesis equal to 0:
(x + 6)(x + 2) = 0
(x + 6) = 0
(x + 2) = 0
Isolate the variable x. Subtract 6 & 2 from both sides for their respective equation:
x + 6 = 0
x + 6 (-6) = 0 (-6)
x = 0 - 6
x = -6
x + 2 = 0
x + 2 (-2) = 0 (-2)
x = 0 - 2
x = -2
x = -6 , -2
~
Answer:
<h2><em><u>
75.25</u></em></h2>
Step-by-step explanation:
The mean is: 75.25
Hope this helps