F(x) = 5cos(1/2x) - 2
g(x) = 5cos(x) - 2
The period for a cosine function is 2pi/k
In the equation the k is located before the variable.
In g(x) we have 5cos (1x) -2
so the period is 2pi/1 or 2pi. This means the length of one full period of cosine will go from 0 to 2pi.
In f(x) we have 5 cos (1/2 x) - 2
so the period is 2pi/ (1/2) which is the same as 2pi * 2 or 4pi.
This means the period for the function is 4pi and the length of one full period of the cosine graph will go from 0 to 4pi.
The length of f(x) will be longer than that of g(x) .
In order to make 441 liters of Petrolyn oil, we need 189 liters of synthetic oil.
Given, for every 3 liters of synthetic oil, we use 4 liters of natural oil.
⇒ For 1 liter of synthetic oil, we will be adding 4/3 liters of natural oil.
Let 'x' be the liters of oil needed to make 441 liters of Petrolyn oil
⇒ For 'x' liters of synthetic oil, we will need 4x/3 liters of natural oil
Total Volume = 441 liters
Volume of Synthetic oil + Volume of natural oil = 441
x + 4x/3 = 441
⇒ (3x + 4x)/3 = 441
⇒ 7x/3 = 441
⇒ x = (441×3)/7
⇒ x = 189 liters
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Answer:
132 inches
Step-by-step explanation:
We need to multiply both units together; there are 12 inches in a foot and 11 feet. Therefore:
11x12=132
132 inches
Answer:
y = 1
Step-by-step explanation:
6 = 2(y + 2)
6 = 2y + 4
-4 -4
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2 = 2y
/2 /2
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1 = y
Answer:
sorry but I don't know the answer
