Perform the indicated multiplication and addition.
900 + 20 + 0.3 + 0.007 = 920.307
6 units
12 is also a diameter because it goes through the whole circle.
Divide it by 2 to find 6.
Subtraction of a number from x represents a shift towards right. So this means g(x) has been shifted 4 units to right. Addition of a number to the function value represents a vertical shift. So g(x) has been shifted 3 units up to get f(x).
So, we can write f(x) as:
f(x) = g(x - 4) + 3
So, translate g(x) 4 units to right and 3 units up to get f(x).
Thus, option C is the correct answer
After 9 days, they will both have watched 18 episodes.
Oldest = 2 times Youngest -> O = 2*Y
Middle = Youngest + 5 -> M = Y+5
All of them together is 57 -> O + M + Y = 57
So you have these three equations:
(1) O = 2*Y
(2) M = Y+5
(3) O + M + Y = 57
Now you want to reduce the number of variables. You can change the second equation to be Y = M-5 and then plug in "M-5" wherever there is currently a Y:
(4) O = 2*(M-5) = 2*M - 10
(5) O + M + (M-5) = 57
which becomes O + 2M = 62
Then you plug in the "O" equation (4) into (5) which gives you
(2M-10) + 2M = 62 which reduces to 4M = 72.
So now I know M is 18.
I can now plug that into my other equations:
(4) O = 2*18 - 10 which means O = 26.
Now I plug that into (1) from the top:
26 = 2*Y which becomes 13 = Y
So now I have O, Y, and M
Oldest is 26
Middle is 18
Youngest is 13
Reading the sentence again, you can see that this makes sense.
