Answer:
the answer is undefined
Step-by-step explanation:
If a function, f(x), is continuous (that is, has values for every x in the interval) from x=- 1 to x=1 ), then the average rate of change is:( total amount that f(x) changes ) / (total amount that x changes)( f(1) - f(-1) ) / ( (1) - (-1) )( f(1) - f(-1) ) / 2The variable x changes from (-1) to (1). That value is 2. [note: (1)-(-1) ]The function changes from f(-1) to f(1). You must determine f(1)-f(-1) and use that value as the numerator.Fill in the values to determine the average rate of change: ( f(1) - f(-1) ) / 2However, if the plot of y values is not a function, and there is some x value between -1 and 1 for which f(x) is undefined, then the rate of change of y from f(-1) to f(1) is also undefined.
Answer:
10x^2-x-24
Step-by-step explanation:
5 is a whole number so keep it as 5 then 4 is in the tenths place so that means have ten for the denominator so 5 and 4/10 is the mixed number then simplified to 5 and 2/5
Answer:
The length of the string is 32.56 feet (Approx) .
Step-by-step explanation:
As given
A kite is 37 feet in the air and string forms an angle of 62 degrees .
Now by using the trignometric identity.
![sin\theta = \frac{Perpendicular}{Hypotenuse}](https://tex.z-dn.net/?f=sin%5Ctheta%20%3D%20%5Cfrac%7BPerpendicular%7D%7BHypotenuse%7D)
As shown in the figure given below.
![\theta = 62^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2062%5E%7B%5Ccirc%7D)
Perpendicular = AB
Hypotenuse = AC = 37 feet
Put in the identity .
![sin\ 62^{\circ} = \frac{AB}{AC}](https://tex.z-dn.net/?f=sin%5C%2062%5E%7B%5Ccirc%7D%20%3D%20%5Cfrac%7BAB%7D%7BAC%7D)
![sin\ 62^{\circ} = \frac{AB}{37}](https://tex.z-dn.net/?f=sin%5C%2062%5E%7B%5Ccirc%7D%20%3D%20%5Cfrac%7BAB%7D%7B37%7D)
![sin\ 62^{\circ} = 0.88\ (Approx)](https://tex.z-dn.net/?f=sin%5C%2062%5E%7B%5Ccirc%7D%20%3D%200.88%5C%20%28Approx%29)
Put in the identity
![0.88 = \frac{AB}{37}](https://tex.z-dn.net/?f=0.88%20%3D%20%5Cfrac%7BAB%7D%7B37%7D)
AB = 0.88 × 37
AB = 32.56 feet (Approx)
Therefore the length of the string is 32.56 feet (Approx) .
The side of the square = 16 in
When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle.
So, the diameter of the circle is equal to 16 in => radius = 8 in
Circumference = 2πr = 2π8 = 16π = 50.24