Answer:
(- ∞, 4 ]
Step-by-step explanation:
To determine the range we require the coordinates of the vertex
The vertex lies on the axis of symmetry which is positioned at the midpoint of the zeros.
To obtain the zeros, equate f(x) to zero, that is
-(x + 5)(x + 1) = 0
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x + 1 = 0 ⇒ x = - 1
= 
= 
= - 3
Substitute x = - 3 into f(x) for corresponding value of y
f(- 3) = - (- 3 + 5)(- 3 + 1) = - (2)(- 2) = 4
Vertex = (- 3, 4)
Since a = - 1 then vertex is a maximum, hence
range is (- ∞, 4 ]
Answer:
B. $2862
Step-by-step explanation:
Using n=5 in the given equation, we get ...
A(5) = 2700 + (5-1)(.015·2700) = 2700 +4(40.50)
A(5) = 2862.00
In year 5, you will have $2862 in the account.
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<em>Comment on the given equation</em>
The given equation tells you the amount in the account at the <em>beginning</em> of the year, before it earns any interest. Since that is the equation given, we presume that is the answer desired. In most "account balance" problems, you are interested in the amount at the <em>end</em> of the interest-earning period.
When we say factor and solution, we mean to say the same thing. These terms may also sometimes be referred to as "roots". There is a law in mathematics which states that the number of solution in a given equation is equal to the highest exponent in the expression and for quadratic equation, the number of solutions should be 2.
Use those coordinates (x,y) x negative left side of coodinate plane y negative down side of the coordinate plane positive x is right side and positive y is up
