Answer:
2 added to cube of 5 times x
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
Answer:
CD = 45
Step-by-step explanation:
CE = 180
( x + 6 ) + ( 4x - 21 ) = 180
5x - 15 = 180
5x = 195
x = 39
substitute x in CD
CD = x + 6
CD = 39 + 6
CD = 45
Answer:
The correct answer is option B.
Step-by-step explanation:
Two point form of the equation:
A line passing through the point (-1,6) with slope ,m = -3.
The equation of the line will be:
Hence, the correct answer is option B.
