A = {1, 3, 5, 7, 9} B = {2, 4, 6, 8, 10} C = {1, 5, 6, 7, 9} A ∩ (B ∪ C) =
vovikov84 [41]
A = {1, 3, 5, 7, 9}
B = {2, 4, 6, 8, 10}
C = {1, 5, 6, 7, 9}
(B ∪ C) = {1, 2, 4, 5, 6, 7, 8, 9, 10}
so
A ∩ (B ∪ C) = {1, 5, 7 , 9}
The graphs have precisely the same shape, but that of g(x) is that of f(x) translated 4 units DOWN.
The mean, median, and mode are equal to 1. So among the choices, the first one is correct - mean = mode
Mean - an <em>average </em>of the given set of number; to find this, add the numbers and divide it by 11 (the number of given data)
= (-1 + -1 + 0 + 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3) / 11
= 1
Median - the <em>middle or center</em> of the given set; to find this, arrange the numbers in numerical order, then get the center or middle number as the median
= <span>-1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3
= [</span><span>-1, -1, 0, 1, 1,] <u>1</u>, [1, 2, 2, 2, 3]
Mode - is the value that occurs most of the time in the given set; so obviously <em>number 1 occurred four times</em> so 1 is our mode
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Answer:
see explanation
Step-by-step explanation:
(a)
To find the first 4 terms substitute n = 1, 2, 3, 4 into the n th term formula.
a₁ = 1 + 5 = 6
a₂ = 2 + 5 = 7
a₃ = 3 + 5 = 8
a₄ = 4 + 5 = 9
For the 10 th term substitute n = 10, that is
a₁₀ = 10 + 5 = 15
The first 4 terms are 6, 7, 8, 9 and the 10 th term is 15
(b)
Substitute n = 1, 2, 3, 4 and 10 into the n th term formula
a₁ = 2(1) - 1 = 2 - 1 = 1
a₂ = 2(2) - 1 = 4 - 1 = 3
a₃ = 2(3) - 1 = 6 - 1 = 5
a₄ = 2(4) - 1 = 8 - 1 = 7
a₁₀ = 2(10) - 1 = 20 - 1 = 19
The first 4 terms are 1, 3, 5, 7 and the 10 th term is 19
Max:
Min:
Amplitude: 3
Horizontal Shift: 0
Vertical Shift: -2
I'm not sure on the max and min, but here is everything else. ^_^
