Answer:
x = (-629)/4
Step-by-step explanation:
Solve for x:
-2 x - 18 = 4 x - 2 x + 611
4 x - 2 x = 2 x:
-2 x - 18 = 2 x + 611
Subtract 2 x from both sides:
(-2 x - 2 x) - 18 = (2 x - 2 x) + 611
-2 x - 2 x = -4 x:
-4 x - 18 = (2 x - 2 x) + 611
2 x - 2 x = 0:
-4 x - 18 = 611
Add 18 to both sides:
(18 - 18) - 4 x = 18 + 611
18 - 18 = 0:
-4 x = 611 + 18
611 + 18 = 629:
-4 x = 629
Divide both sides of -4 x = 629 by -4:
(-4 x)/(-4) = 629/(-4)
(-4)/(-4) = 1:
x = 629/(-4)
Multiply numerator and denominator of 629/(-4) by -1:
Answer: x = (-629)/4
Answer:
Step-by-step explanation:
P = 8x + 20
4*side = 8x + 20
side = (8x + 20)/4
= 8x/4 + 20/4
side = 2x + 5
Answer: 20 lawns
Step-by-step explanation:
35÷7=5
5×4=20
Answer:
(1.0025ⁿ)² + 3.7124×(1.0025ⁿ) - 5.3124 = 0
Step-by-step explanation:
Nina will have saved the enough money to pay off the remaining balance on the loan when the functions are the same. So
f(x) = g(x)
86248 - 74248(1.0025)ⁿ = 20000(1.005)ⁿ - 20000
we sum 20000 on each side of the equation
106248 - 74248(1.0025)ⁿ = 20000(1.005)ⁿ
then we divide by 2000 each side of the equation
5.3124 - 3.7124(1.0025)ⁿ = 1.005ⁿ
the square root of 1.005 is aproximately 1.0025, so
1.005 ≈ 1.0025²
5.3124 - 3.7124(1.0025)ⁿ = (1.0025²)ⁿ
Since (1.0025²)ⁿ = 1.0025²ⁿ = (1.0025ⁿ)² we can write:
(1.0025ⁿ)² + 3.7124(1.0025ⁿ) - 5.3124 = 0
and 
. The squared distance between any point in this region 
and the point (1, 1) is
![=\dfrac{\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}[r^2-2r(\cos\theta-\sin\theta)+2]r\,\mathrm dr\,\mathrm d\theta}{\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}r\,\mathrm dr\,\mathrm d\theta}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%5Cdisplaystyle%5Cint_%7B%5Ctheta%3D0%7D%5E%7B%5Ctheta%3D2%5Cpi%7D%5Cint_%7Br%3D0%7D%5E%7Br%3D1%7D%5Br%5E2-2r%28%5Ccos%5Ctheta-%5Csin%5Ctheta%29%2B2%5Dr%5C%2C%5Cmathrm%20dr%5C%2C%5Cmathrm%20d%5Ctheta%7D%7B%5Cdisplaystyle%5Cint_%7B%5Ctheta%3D0%7D%5E%7B%5Ctheta%3D2%5Cpi%7D%5Cint_%7Br%3D0%7D%5E%7Br%3D1%7Dr%5C%2C%5Cmathrm%20dr%5C%2C%5Cmathrm%20d%5Ctheta%7D)
