The sum of all three numbers is 12. The sum of twice the first number, 4 times the second number, and 5 times the third number i
1 answer:
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Since you need the vertex, and knowing the vertex will tell you the axis of symmetry, it is convenient to put the equation in vertex form.
.. -x^2 -4x +1
.. = -(x^2 +4x) +1
.. = -(x^2 +4x +(4/2)^2) +1 -(-(4/2)^2) . . . . complete the square
.. = -(x +2)^2 +5
The vertex is (-2, 5).
The axis of symmetry is x = -2.
.. -x^2 -4x +1
.. = -(x^2 +4x) +1
.. = -(x^2 +4x +(4/2)^2) +1 -(-(4/2)^2) . . . . complete the square
.. = -(x +2)^2 +5
The vertex is (-2, 5).
The axis of symmetry is x = -2.
Answer:
The answer is below
Step-by-step explanation:
The total revenue from the sale of a popular book is approximated by the rational R(x) = 1100x^2/x^2 + 4, where x is the number of years since publication and the total revenue in millions of dollars. Use this function to complete parts a through d. (a) Find the total revenue at the end of the first year. $ million (b) Find the total revenue at the end of the second year. $ million (c) Find the domain of function R. Choose the correct domain below. {x | x is a real number and x greaterthanorequalto 0} {x | x is a real number and x lessthanorequalto 5} {x | x is a real number and x notequalto 2, x notequalto 5} {x | x is a real number and x notequalto 2}
Solution:
Revenue is the total money made from the selling of a product or item.
a) Given the revenue function:
At the end of the first year (i.e. x = 1), the venue is given as:
b) At the end of the second year (i.e. x = 2), the venue is given as:
c) The domain of the function is the value of the denominator for which the value of the denominator is not zero
x² + 4 ≠ 0
The domain is {x| x is a real number and x ≥ 0}