Answer:
Step-by-step explanation:
1) A = x
Flower garden is in rectangular shape. In rectangle, opposite sides are equal.
2) The entire garden is in rectangular shape. In rectangle, opposite sides are equal.
B + x+ 4 = 10x + 6
Take x and 4 to other side to find the value of B. When taking to other side of equal to sign, the sign of x and 4 will change
B = 10x + 6 - x - 4
B = 10x - x + 6 - 4 {Combine like terms}
B = 9x + 2
3) C + x -2 = 5x -3
C = 5x - 3 - x +2
C = 5x -x - 3 + 2
C = 4x - 1
4) Area of Vegetable garden = length * width
= (5x - 3) * (9x + 2)
Use FOIL method
= 5x *9x + 5x*2 + (-3)*9x + (-3)*2
= 45x² + 10x - 27x - 6
= 45x² - 17x - 6
The equation that models the relationship between the amount of money Sarah has left is 55- 0.65x= y
Answer is : 1.2 geometric series
Make a table with two columns, to find the ordered pair. This is an example.
Answer:
Probability that the lifetime of the machine part is less than 13 = 0.6782
Step-by-step explanation:
given that ![f(x)=(10+x)^{-2}](https://tex.z-dn.net/?f=f%28x%29%3D%2810%2Bx%29%5E%7B-2%7D)
Normalizing the function we get
![\int_{0 }^{50}cf(x)dx=1](https://tex.z-dn.net/?f=%5Cint_%7B0%20%7D%5E%7B50%7Dcf%28x%29dx%3D1)
![\int_{0 }^{50}c(10+x)^{-2}dx=1](https://tex.z-dn.net/?f=%5Cint_%7B0%20%7D%5E%7B50%7Dc%2810%2Bx%29%5E%7B-2%7Ddx%3D1)
![\therefore a=\frac{1}{\int_{0 }^{50}(10+x)^{-2}dx}](https://tex.z-dn.net/?f=%5Ctherefore%20a%3D%5Cfrac%7B1%7D%7B%5Cint_%7B0%20%7D%5E%7B50%7D%2810%2Bx%29%5E%7B-2%7Ddx%7D)
![\therefore a=12](https://tex.z-dn.net/?f=%5Ctherefore%20a%3D12)
![P(x< 13)=\int_{0}^{13}12(10+x)^{-2}dx\\\\P(X< 13)=0.6782](https://tex.z-dn.net/?f=P%28x%3C%2013%29%3D%5Cint_%7B0%7D%5E%7B13%7D12%2810%2Bx%29%5E%7B-2%7Ddx%5C%5C%5C%5CP%28X%3C%2013%29%3D0.6782)