A certain organization wants to know the opinion of the adult residents, 35 years of age or older, of the xxx city with a total
1 answer:
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Answer: a = 4
Step-by-step explanation: Area of a triangle is calculated as: .
The triangle formed by the parabola has base (b) equal to the distance between the points where the graph touches x-axis and height (h) is the point where graph touches the y-axis.
The points on the x-axis are the roots of the quadratic equation:
a(x-3)(x+2)=0
(x-3)(x+2)=0
x - 3 = 0
x = 3
or
x + 2 = 0
x = -2
So, base is the distance between (-2,0) and (3,0).
Since they are in the same coordinate, distance will be:
b = 3 - (-2)
b = 5
Area of the triangle is 10. So constant a is
5a = 10.2
a = 4
The constant a of the function y = a(x-3)(x+2) is 4.
Answer:
see the explanation
Step-by-step explanation:
we have
we know that
The radicand of the function cannot be a negative number
so
Solve for x
Multiply by -1 both sides
The domain of the function f(x) is the interval -----> (-∞, 0]
The domain is all real numbers less than or equal to zero
The range of the function f(x) is the interval ----> [0,∞)
The range is all real numbers greater than or equal to zero
<em>Example</em>
For x=144
----> is not true
This value of x not satisfy the domain
substitute
----> this value is undefined
For x=-144
----> is true
This value of x satisfy the domain
substitute
----> this value is defined
therefore
The function will be undefined for all those values of x that do not belong to the interval of the domain of the function