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:
20
Step-by-step explanation:
first do 75/50 = 1.5
then multiply red by 1.5
13 landed on red so
13 x 1.5 = 19.5
but since you round up it is 20
<span>S= (a+b)^2+(4a+b-2)^2+(9a+b-4)^2
98a+14b-44=0
14a+3b-6=0
a=24/49, b=-2/7
y = (24/49)x^2-(2/7)</span>
Answer:
Length is 15 inches
Width is 8 inches
Step-by-step explanation:
A = L*W
the Width = L-7
120 = L (L-7)
120 = L^2-7L
subtract 120 from each side
0 = L^2 - 7L - 120
(L-15) (L +8 )
so L = 15 inches
and W = 15-7 = 8 inches
check your answer: does 15*8 = 120? yes!
Answer:
The variance for the number of tasters is 4.2
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they are tasters, or they are not. The probability of a person being a taster is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The variance of the binomial distribution is:
It is known that 70% of the American people are "tasters" with the rest are "non-tasters". Suppose a genetics class of size 20
This means that 
So
The variance for the number of tasters is 4.2
