Answer:
Step-by-step explanation:
Standard form: 
Our vertex is: 
Finally we get as our answer.
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Basically look for the intersection points of these two functions by setting them equal to each other.
-x^2 + 6x = 21/4 - x/4
-x^2 + (25/4)x - 21/4 = 0
x = 1 and x = 21/4
Plug these points back to any of the two original equations, you will get
(1,5) and (21/4, 63/16)
Answer: The average is 22
Step-by-step explanation: To calculate any average from a database like this one, add all the numbers to find your total, which in this case would be 132. Then divide the total by however many numeric values you had to add, which would be 6. This gives you your final equation, (132 divided by 6 = 22).
First let's find the angles a and b.
We have then:
sin a = 4/5
a = Asin (4/5)
a = 53.13 degrees.
cos b = 5/13
b = Acos5 / 13
b = 67.38 degrees.
We now calculate cos (a + b). To do this, we replace the previously found values:
cos ((53.13) + (67.38)) = - 0.507688738
Answer:
-0.507688738
Note: there is another way to solve the problem using trigonometric identities.
Answer:
-6, -5, -8
Step-by-step explanation:
