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 is D or the last choice
36 customers/30 days = 1.2 customers per day
30 days / 36 customers = 5/6 day per customer
Answer:
c. 138 feet
Step-by-step explanation:
h(t) = −16t^2 + 83t + 33
At3 seconds
h(3) = -16(3^2) + 83(3) + 33
h(3) = -16(9) + 249 + 33
h(3) = -144 + 249 + 33
h(3) = 138
c. 138 feet
Answer: p(a given b) = p(a and b) / p(b)
a is the probability that they score.
b is the probability that they cross the blue line.
p(a and b) is given as .005
this is the probability that they cross the blue line and score.
p(b is given as .6
that's the probability that they cross the opposing blue line.
the formula becomes:
p(a given b) = .005 / .6 = .0083333333.....
that's what i get using the p(a given b) formula.
Step-by-step explanation:
