<h3>Answer: 1/6</h3>
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Work Shown:
A = area of black square
A = 2*2
A = 4
B = area of white symbol
B = (1/3)*A
B = (1/3)*4
B = 4/3
C = total area
C = 4*2
C = 8
Divide the values of B and C to find the fraction of the total area the white symbol covers up.
B/C = (4/3)/8
B/C = (4/3) / (8/1)
B/C = (4/3) divided by (8/1)
B/C = (4/3) times (1/8)
B/C = (4*1)/(3*8)
B/C = 4/24
B/C = 1/6
They both are not linear
15 is a parabola and 14 is attached.
Simple...
you have:
-2x+5y=10
re-write in y=mx+b form...
-2x+5y=10
+2x +2x
5y=2x+10
Now divide....
5y=2x+10
y=
Now it's easy to see the slope and y-intercept...
Slope:
Y-intercept:2
Thus, your answer.
The equation to calculate the average rate of change is: y/x
y = f(x2) - f(x1)x = x2 - x1
x1: 1 (The smaller x value. It can be any number)x2: 2 (The larger x value. It also can be any number)f(x1): The value when you plug x1 into the function.f(x2): The value when you plug x2 into the function.
If we know this, the variables for this problem are assuming the function is 10(5.5)^x:
x2: 2x1: 1f(x2): 10(5.5)^(2) = 302.5f(x1): 10(5.5)^(1)= 55
This means:y = 302.5 - 55 = 247.5x = 2 - 1 = 1
Remember: the equation for avg rate of change is y/x
So, our average rate of change for the function on the interval [1,2] is 247.5 (y/x = 247.5/1)
