Answer:Average rate of change = -112
Explanation:The average rate of change =
where:
b is the upper limit = 2
f(b) = f(2) = -14(2+4)² - 8 = -512
a is the lower limit = -2
f(a) = f(-2) = -14(-2+4)² - 8 = -64
Substitute with these values in the above equation to get the average rate of change as follows:
average rate of change =
Hope this helps :)
Answer:
what do you want us to do with this
Answer:
(4,4)
Step-by-step explanation:
There are two ways that you can solve this. You can solve it with the help of technology or you can solve it traditionally. I will show how to do it in both ways so you can pick which way you want to solve it.
<em>Traditional Method:</em>
5x - 2y = 12
6x + 2y = 32
Look at the variables and numbers in both equations. One of them has to be the same value but have to have opposite signs. The 2y in both equations are the same value but have different signs. That's what we want. We can add everything in the equation now. (5x + 6x), (-2y + 2y), and (12 + 32).
11x = 44
To get x alone, Divide each side by 11. Then we will get the value of x.
11/11x = 44/11
x = 4
Horray! We got x, but what about y? Pick one of the equations. I will go with 5x - 2y = 12. Substitute the x value inside the equation.
5(4) - 2y = 12
20 - 2y = 12
-2y = -8
y = 4
Good! We figured out y. Now we know the solution! The solution is (4,4).
<em>Technology Method:</em>
Grab a graphing calculator. Enter the equations. You will see two lines. Look at where they intersect. The point where they intersect is the solution. That line is (4,4). You could also do this on a piece of paper by graphing the equations.
I hope this helps! Let me know if you need any more help or if I got anything wrong.
Answer:
From the basics of algebra,
a triangle subtended to the center of a circle from the circumference is always isosceles
since the Central angle is 60 and the triangle is isosceles, the other angles are,
meaning that the triangle is equilateral.
all the other angles are 60.
the radius of the circle is the length of the triangles side,
ie 6cm
I count n=12 observations, sorted they're
0 0 0 1 1 2 2 3 3 4 5 10
The median is the middle value, or the average of the two middle ones when we have an even number. That's (2+2)/2=2
Median: 2
The mode is the most common observation. Three friends had no pets.
Mode: 0
The range is maximum minus minimum, so 10 - 0 = 10
Range: 10
