Answer:
- growth: base is > 1
- decay: base is < 1
Step-by-step explanation:
If the base of the exponential function is more than 1, then increasing the exponent will increase the value of the function. The value will grow.
If the base of the exponential function is less than 1, then increasing the exponent will decrease the value of the function. The value will decay.
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The above statements assume a <em>positive coefficient of the exponent variable</em>. If the coefficient is negative, the descriptions of growth and decay are reversed.
For example, some exponential functions are written using "e" as a base. The value of e is about 2.71828, so is greater than 1. Such a function will be a growth function if the exponent has a positive coefficient, a decay function otherwise.
Answer:
![x=-\frac{b}{2a}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7Bb%7D%7B2a%7D)
Step-by-step explanation:
we know that
The quadratic equation
is a vertical parabola
The axis of symmetry in a vertical parabola is a vertical line
The equation of the axis of symmetry in a vertical parabola is equal to the x-coordinate of the vertex
The x-coordinate of the vertex is equal to the formula
![x=-\frac{b}{2a}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7Bb%7D%7B2a%7D)
therefore
the equation of the axis of symmetry is equal to ![x=-\frac{b}{2a}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7Bb%7D%7B2a%7D)
Answer:
Roots is a fancy word for zero, which is also another fancy word for the x intercept.
You can factor a quad or use the quadratic equation to get zeros.
In this case, its non-factorable. So you gotta use the quadratic.
Using the quadratic equation you get : x = -2 ± √-1 (√5),
which can be rewritten as x = -2 ± i(√5)
Function was : x^2 + 4x + 9
For quad, I identified the following:
A = 1
B = 4
C = 9
I also added a picture of the formula in the attached.
Answer:
If im not wrong the answer is 23,613.
Step-by-step explanation:
9,854+3,905=13,759+9,854=23,613.