Evaluate the numerical expression.9x [(26-4)-(4+7)]The value of the expression is
2 answers:
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Answer:
1)Area of circle: 64
2)Area of semicircles: 128
3)Area of quarter-circles: 128
4)Total area of pattern: 320
Step-by-step explanation:
r = 8cm
Given: 1 circle, 4 semicircles, and 8 quarter-circles.
Area of a circle:
1) A = where r = 8
A = 64
2) 4 semicircles = 2 circles
so the answer is 2*A = 128
3) 8 quarter-circles = 2 circles
Therefore, the answer here is the same as the answer for #2!
4)There are 5 circles total because:
1 circle = 1 circle
4 semicircles divided by 2 = 2 circles (because times 4)
8 quarter-circles divided by 4 (think about what "quarter" means) = 2 circles
So ... 1 + 2 + 2 = 5 circles
Now we need to find the area of 5 circles which is just 5*A
5*A = 320
Since we know that the graph of our quadratic function has x-intercepts at (6,0) and (18,0), 
and 
are the zeroes of our quadratic. To find our quadratic we are going to factor each zero backwards and multiply them:
Now that we have our quadratic function, we are going to use the average formula:
is the function evaluated at the <span>9th month
</span>
is the function evaluated at the 3rd month
![m= \frac{[9^{2}-24(9)+108]-[3^{2}-24(3)+108]}{9-3}](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7B%5B9%5E%7B2%7D-24%289%29%2B108%5D-%5B3%5E%7B2%7D-24%283%29%2B108%5D%7D%7B9-3%7D%20)
We can conclude that the closest approximate average rate of change for Edna's profits from the 3rd month to the 9th month is: <span>B. −11.63 dollars per month.</span>
Now that we have our quadratic function, we are going to use the average formula:
</span>
We can conclude that the closest approximate average rate of change for Edna's profits from the 3rd month to the 9th month is: <span>B. −11.63 dollars per month.</span>