Charles drove to and from work a total of 85 times in two months and was stopped by a red light 37 times. What is the relative frequency of stopping at a red light while he is going to and from work?WILL GIVE BRAINLIST
Create two different situations: one in which you use combinations and one in which you use permutations. Include specific details and an explanation about what makes each situation either a combination or permutation.
Answers
Combination:
Choose two out of three different colors of paints a color
Answer: 3x2/2 = 3 different colors
If the colors are a, b and c, the different combinations are:
ab = ba ac = ca bc= cb.
Permutation
Choose two out of three rectangular pieces of fabrics,each of different solid colors, to make flags with horizontal colors.
3x2 = 6.
If the colors are a, b, c the permutations are
ab ba (they are different because the fabrics are in different positions)
ac ca
bc cb
Total: 6 different flags with two colors out of three available.
The first situation is a combination because the order in which you use the colors make no difference. The second one is permutation because the order makes a difference.
Multiply.
–58.7 • 13
Divide.
-6 ÷ 1/4
Answers
The first one is -763.1 and the second one is -24
Given the functions f(x) = x2 + 6x − 1, g(x) = –x2 + 2, and h(x) = 2x2 − 4x + 3, rank them from least to greatest based on their axis of symmetry.
Answers
Axis of symmetry = x = -b/2a where y = ax² + bx + c
f(x) = x² + 6x - 1 ⇒ a = 1 ; b = 6 ; c = -1 x = -(6)/2(1) = -6/2 = -3
g(x) = -x² + 2 ⇒ a = -1 ; b = 0 ; c = 2 x = -0/2(-1) = 0/-2 = 0
h(x) = 2x² - 4x + 3 ⇒ a = 2 ; b = -4 ; c = 3 x = -(-4)/2(2) = 4/4 = 1
least : f(x) = x² + 6x - 1 ; axis of symmetry is -3 middle : g(x) = -x² + 2 ; axis of symmetry is 0 greatest : h(x) = 2x² - 4x + 3 ; axis of symmetry is 1
f(x), g(x), h(x) is the answer.
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The amount that remains after one quantity is subtracted from another