Answer: f(x) = 6*sin( (1/8)*π*x) + 3
Step-by-step explanation:
A sine function is written as:
f(x) = A*sin(w*x + f) + M
where:
A = amplitude
w = frequency
f = phase
M = midline
Here we know that:
Frequency = 1/8π, then: w = (1/8)*π
Amplitde = 6, then A = 6
midline = 3, then M = 3
So our equation is:
f(x) = 6*sin( (1/8)*π*x + f) + 3.
Now we also know that:
y-inercept: (0,3)
This means that:
f(0) = 3 = 6*sin( (1/8)*π*0 + f) + 3 = 6*sin(f) + 3
Now we can remember that sin(0) = 0
Then we must have f = 0.
This means that the equation is:
f(x) = 6*sin( (1/8)*π*x) + 3
So the image of the function is:
40 mi² is your answer
They are 4 equal rectangle.
Area rectangle = w * l
5 * 2 = 10 mi² (area 1 rectangle)
then you multiply by 4
10 * 4 = 40 mi²
or
5 * 2 * 4 = 40 mi²
Answer:
x = 9
y = 9
Step-by-step explanation:
Given :
Let :
Kenyan French roast coffee = x
Cost per x = $8
Sumatran Coffee = y
Cost per y = $10
x + y = 18 - - - - (1)
8x + 10y = 9 * 18 ;
8x + 10y = 162 - - - - (2)
From (1):
x = 18 - y
Put x = 18 - y in (2)
8(18 - y) + 10y = 162
144 - 8y + 10y = 162
2y = 162 - 144
2y = 18
y = 9
x = 18 - y
x = 18 - 9
x = 9
Answer:.3
Step-by-step explanation: 20/6 =.1
Answer:
There is 1/4 of a quart of papaya juice
Step-by-step explanation:
To figure this out I divided 8 and 8 to get one cup of carrot juice. Then I divided 2 and 8 to figure how much papaya juice was there for one cup of carrot juice. Then after I divided for the papaya I got 0.25 or 1/4 of a quart of papaya.