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: 22
Step-by-step explanation:
Caiden's balance after 5 years would be $831
<u>Explanation:</u>
Given:
Principal, p = $475
Rate of interest = 3.8%
time, t = 15 years
Balance after 15 years = ?
We know:
where,
n = number of compounding periods
r = rate of interest
t = number of years
Substituting the value;
Therefore, Caiden's balance after 5 years would be $831
Answer:
False
Step-by-step explanation:
We need both points, because one is the y, adn it is what the equation equals to, and the x is the thing that comes after the slope.
Example:
m=2
(3,0)
y=mx+b
0=(2)(3)+b
0=6+b
0-6=b
-6=b
Answer:
Store A has the greatest cost per pound of pears as each pound of pears cost $1.29
Step-by-step explanation:
Store A
(3, 3.87)
(5, 6.45)
5-3=2
6.45-3.87=2.58
2.58
/2= $1.29
Store B
(2,2)
(4,4)
4-2=2
4-2=2
2/2=1
Store C
1.78/2= $0.89
Answer is Store A
