5^3 x 4^5 45 4000 128000 56
2 answers:
You might be interested in
Answer:
2 is the value that provides the same result with f(x) and g(x).
Step-by-step explanation:
You can solve this by saying:
f(x) = g(x)
and then solving for x.
So let's do it:
This tells us that when x = 2, the two functions will have identical values. Let's try them out to confirm it!
f(x) = -0.5x + 2
f(2) = -0.5 * 2 + 2
f(2) = -1 + 2
f(2) = 1
g(x) = 2x - 3
g(2) = 2 * 2 - 3
g(2) = 4 - 3
g(2) = 1
So we can see that 2 is the value that produces the same result in both charts.
Given:
The function is:
To find:
Express the quadratic equation in the form of , then state the minimum or maximum value,axis of symmetry and minimum or maximum point.
Solution:
The vertex form of a quadratic function is:
...(i)
Where, a is a constant, (h,k) is the vertex and x=h is the axis of symmetry.
We have,
It can be written as:
Adding and subtracting square of half of coefficient of x inside the parenthesis, we get
...(ii)
On comparing (i) and (ii), we get
Here, a is negative, the given function represents a downward parabola and its vertex is the point of maxima.
Maximum value = 10.125
Axis of symmetry :
Maximum point = (1.75,10.125)
Therefore, the vertex form of the given function is , the maximum value is 10.125, the axis of symmetry is
and the maximum point is (1.75,10.125).