Answer:
21
Step-by-step explanation:
Total capacity = sum of the individual production capacities.
Here,
Total capacity = sum of f(m) = (m + 4)^2 + 100 and g(m) = (m + 12)^2 − 50.
Then f(m) + g(m) = (m + 4)^2 + 100 + (m + 12)^2 − 50.
We must expand the binomial squares in order to combine like terms:
m^2 + 8 m + 16 + 100
+m^2 + 24m + 144 - 50
---------------------------------
Then f(m) + g(m) = 2m^2 + 32m + 160 + 50
f(m) + g(m) = 2m^2 + 32m + 210, where m is the number of
minutes during which the two machines operate.
sin(4π21). Explanation: Notice that this fits the form of the sine subtraction formula: sin(A−B)=sin(A)cos(B)−cos(A)sin(B).
Answer:
45*
Step-by-step explanation:
This is because angles of a triangle like this need to be 135* total. So 135/3 is 45*
Answer:
Step-by-step explanation:
When you not given the vertex form, the you are given the standard form:
The value of k, is the y-value of the vertex of the function.
To find the value of k, you plug in
In order works, you evaluate
This will give you the k-value
