Answer:
Area covered by the fences will be 16.1 unit²
Step-by-step explanation:
Let the first parabola is represented by the function f(x) = 6x²
and second parabola by g(x) = x² + 9
point of intersection of the graphs will be determined when f(x) = g(x)
6x² = x² + 9
5x² = 9
x² = 1.8
x = ± 1.34
Now we will find the area between these curves drawn on the graph.
Area = ![\int_{-1.34}^{1.34}[f(x)-g(x)]dx=\int_{-1.34}^{1.34}[6x^{2}-(x^{2}+9)]dx](https://tex.z-dn.net/?f=%5Cint_%7B-1.34%7D%5E%7B1.34%7D%5Bf%28x%29-g%28x%29%5Ddx%3D%5Cint_%7B-1.34%7D%5E%7B1.34%7D%5B6x%5E%7B2%7D-%28x%5E%7B2%7D%2B9%29%5Ddx)
= 
= ![[\frac{5}{3}x^{3}-9x]_{-1.34}^{1.34}](https://tex.z-dn.net/?f=%5B%5Cfrac%7B5%7D%7B3%7Dx%5E%7B3%7D-9x%5D_%7B-1.34%7D%5E%7B1.34%7D)
= ![[\frac{5}{3}(-1.34)^{3}-9(-1.34)-\frac{5}{3}(1.34)^{3}+9(1.34)]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B5%7D%7B3%7D%28-1.34%29%5E%7B3%7D-9%28-1.34%29-%5Cfrac%7B5%7D%7B3%7D%281.34%29%5E%7B3%7D%2B9%281.34%29%5D)
= ![[-4.01+12.06-4.01+12.06]](https://tex.z-dn.net/?f=%5B-4.01%2B12.06-4.01%2B12.06%5D)
= 16.1 unit²
Answer:
D. 1,019 square feet
Step-by-step explanation:
10x13x8 - 3x7
Answer:
Step-by-step explanation:
PERCENT CHANGE
The percentage change from 1.20 to 1.80 is 50 %
Our percent calculator uses this formula:
((y2 - y1) / y1)*100 = your percentage change
(where y1=start value and y2=end value)
((1.80 - 1.20) / 1.20) * 100 = 50 %
Answer:
8
Step-by-step explanation:
1.) The answer is Letter A - the credit monitoring <span>service alerts you when there is a change in your credit report.
2.) The answer is Letter D - </span><span>Financial software can do all of the following except applying for loans.
3.) The answer is </span>34.78.<span> Use the amount in 11/1 as your balance, then compute by deducting the checks (chk) and debit purchases and adding the deposits. Then get the difference.
Check Register:
Total = 397.45 - 50.32 - 16.32 + 190.67
Total = 521.48
Online Statement:
Total = 486.44 - 84.80 - 19.73 - 16.32 + 190.67
Total = 556.26
Difference = online - check register
Difference = 34.78
4.) The answer is 206.99. On 11/10 and 11/18, check and online have the same transactions (same date, same amount) which are 16.32 and 190.67. Add them together to get 206.99
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