Step-by-step explanation:
Let
and
. The area A of the region bounded by the given lines is
![\displaystyle A = \int [f(x) - g(x)]dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20A%20%3D%20%5Cint%20%5Bf%28x%29%20-%20g%28x%29%5Ddx)
Note that
intersects y = 4 at x = 1/2 so the limits of integration go from x = 1/2 to x = 5. The area integral can then be written as
![\displaystyle A = \int_{\frac{1}{2}}^{5}\left(4 - \dfrac{1}{x^2}\right)dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20A%20%3D%20%5Cint_%7B%5Cfrac%7B1%7D%7B2%7D%7D%5E%7B5%7D%5Cleft%284%20-%20%5Cdfrac%7B1%7D%7Bx%5E2%7D%5Cright%29dx)
![\:\:\:\:= \left(4x + \dfrac{1}{x}\right)_{\frac{1}{2}}^5](https://tex.z-dn.net/?f=%5C%3A%5C%3A%5C%3A%5C%3A%3D%20%5Cleft%284x%20%2B%20%5Cdfrac%7B1%7D%7Bx%7D%5Cright%29_%7B%5Cfrac%7B1%7D%7B2%7D%7D%5E5)
![\:\:\:\:= (20 + \frac{1}{5}) - (2 + 2) = \dfrac{81}{5} = 16\frac{1}{5}](https://tex.z-dn.net/?f=%5C%3A%5C%3A%5C%3A%5C%3A%3D%20%2820%20%2B%20%5Cfrac%7B1%7D%7B5%7D%29%20-%20%282%20%2B%202%29%20%3D%20%5Cdfrac%7B81%7D%7B5%7D%20%3D%2016%5Cfrac%7B1%7D%7B5%7D)
Answer:
So she earned 148 dollars and 50 cents or 148.5
Step-by-step explanation:
Answer:
267x2 -8x -8 where
x=- 4± 2√ 538/267
Step-by-step explanation:
x2 - 2x -89x2 - 16x2 - 163x2 + 10 x + 8
= x2 -89x2 - 16x2 - 163x2 - 2x+ 10 x + 8
= -267x2+8x +8
= 267x2 -8x -8
First the like terms are arranged and then added . All the co efficients of x2 are added and x are added separately.
Using the quadratic equation to find the value of x
a= 267 , b= -8 and c= -8
x= -b±√b²- 4ac/ 2a
x= -8±√64 +8544/534
x= -8±√8608/534
x=-8±√ 2 x 2 x 2 x 2 x 2 x 269/534
x=-8± 4√ 2 x 269/534
x=- 4± 2√ 2 x 269/267
x=- 4± 2√ 538/267
Answer:
$576
Step-by-step explanation:
The equation for simple interest is I = PRT, where I is the interest earned, P is the principal/amount deposited, R is the rate as a decimal, and T is time in years.
I = (3200)(0.06)(3)
I = 576
Answer:
19%
Step-by-step explanation:
(8/42) * 100 = 19%
Thenks and mark me brainliest :))