Steps to solve:
3^2 • 3^-8 • 3^0
~Apple exponent rule [ a^b * a^c = a^b+c ]
3^2-8+0
~Simplify
3^-6
~Use exponent rule [ a^-b = 1/a^b ]
1/3^6
~Simplify
1/729
Best of Luck!
Answer:
There are no solutions to the inequality.
Step-by-step explanation:
|x - 3| < x – 3
1. Separate the inequality into two separate ones.
(1) x – 3 < x – 3
(2) x – 3 < -(x – 3)
2. Solve each equation separately
(a) Equation (1)
(b) Equation (2)
For example, if x = 0, we get
|0 - 3| < 0 - 3 or
3 < -3
The general form of the equation we need to find is (x - h)^2 = 4p(y- k).
The center is the distance between the directrix and focus.
So, center (h, k) = (3, 3/2) .
P = distance from center to the focus and it just so happens to be 1.5.
We now plug everything into the formula given above.
(x - 3)^2 = 4(1.5)(y - 3/2)
(x - 3)^2 = 6(y - 3/2)
Done!
Answer:
Step-by-step explanation:
Range = difference between the highest and the lowest
Mode = Data that occurs the most time
Median = Arrange the data in ascending order. The middle data is the median. If number of data is even, median is the average of the two middle terms.
1) Range = 28 -21 = 7
Mode = 25
Number of data (Count the total dots) = 14
Median = average of 7th and 8th term
Median = (25+25)/2 = 50/2 = 25
2) Range = 0.18 - 0.11 = 0.07
Mode = 0.15 and 0.16
Number of data = 23
Median =12th term = 0.15
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