Answer:
1
Step-by-step explanation:
The function f(x)=x+6*2 can be rewritten as f(x)=x+12
The average rate of change on the function f on [a,b] interval is the ratio of the changes :
We determine our substitute our interval values in the function:
Hence, the average rate of change is 1
The area of a triangle is determined by the formula: Base x Height * 1/2
You'll need to assign a base to the triangle. Based on the vertices given, the simplest base would be the line segment from (-2,1) to (2,1). The distance between any two numbers is found by just subtracting them. Here, you should subtract the x values to find the distance of this side.
2 - (-2) = 4.
So the distance (aka the length of the base) is 4. The height of the triangle is the distance between the base and the highest point on the triangle which is (3,4). We should subtract the y values this time to find the height/distance.
4 - 1 = 3
So the height is 3.
Base = 4
Height = 3
64
80 80
thats how you havw to put it
Answer:
x^2 - 15x - 27
---------------------- (Answer C)
9
Step-by-step explanation:
(h - g)(x) is the difference between funcions h and g. Subtract g(x) from h(x) as follows:
x^2 + 2 - x
-(4x + 5)
-------------------
x^2 - 5x - 3 = (h - g)(x)
To find (h - g)(x/3), substitute x/3 for x in x^2 - 5x - 3 = (h - g)(x), obtaining:
(x/3)^2 - 5(x/3) - 3
We must expand this and then combine like terms:
x^2/9 - (5/3)x - 3
The LCD of these three terms is 9. The first term stays as is. The second term becomes (15/9)x. The third term becomes 27/9.
Combining these three terms, all with denominator 9, we get:
x^2 - 15x - 27
----------------------
9
This matches Answer C.