given the function, there is no independent variable, x. Because of that your equation remains constant at the y axis, where you get f(x)=57. This means that for any input of x you’ll get 57 as the output. Because youre looking for average rate of change, you would use delta y/ delta x.
(2,57) and (6,57)
When you solve for change between the y and x, you get (57-57)/(6-2
) which ultimately gives you an average rate of change of 0.
Answer:
9
Step-by-step explanation:
The greatest common factor of 9 is 9 and nine is a factor of 27 (9 x 3)
The coordinates of the vertex are (1.5, 1.75) and the axis of symmetry is at x = 1.5.
We can find the vertex by using the formula for finding x-coordinates. The formula for the x-coordinate of a vertex is below.
-b/2a
In this equation, a is the coefficient of the x^2 term (1) and b is the coefficient of the x term (-3). Then we can plug in to find the x term.
-(-3)/2(1)
3/2
1.5
Now that we have this term, we can plug it in for all values of x to find the y term.
x^2 - 3x + 4
1.5^2 - 3(1.5) + 4
2.25 - 4.5 + 4
1.75
Now we know that the vertex is at (1.5, 1.75). Now finding the axis of symmetry is easy because the axis of symmetry in any quadratic is simply x = [x-coordinate of vertex]. So in this case it would be x = 1.5.
b is an ipotenuse, so b > a and 2a+b>3a
In all the cases, the number is multiplied by itself and added 1 to it. so the answer is 26
