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:
Answer: 2 markers.
Step-by-step explanation:
1. You know that she gives 12 markers to Mr. Cooke, then the rest among is:
29 markers-12 markers=17 markers
2. She divides the rest among 5 other teachers and each one of them get the same number of markers. So, you need to divide 17 markers by 5 teachers as following:
17 markers/5=3.4 markers
3. But the number of marker each one teacher has can't be a decimal number, so this number must be: 3 markers for each teacher.
3. The number of markers that will be left over is:
17 markers-(5*3 markers)=2 markers
Answer:
45
Step-by-step explanation:
Answer:
1/7 +5/9={1×9+5×7)/(9×7)=44/63is your answer
Answer:
D
Step-by-step explanation:
D is the only option where there's always 0 or positive integers inside the radical. The square root of a negative number is imaginary.
