Answer:
The correct option is C.
Step-by-step explanation:
The given cubic equation is
![x^3-5x^2+3x+9=0](https://tex.z-dn.net/?f=x%5E3-5x%5E2%2B3x%2B9%3D0)
According to the rational root theorem 1 and -1 are possible rational roots of all polynomial.
At x=-1, the value of function 0. Therefore (x+1) is the factor of polynomial and -1 is a real root.
Use synthetic division to find the remaining polynomial.
![(x+1)(x^2-6x+9)=0](https://tex.z-dn.net/?f=%28x%2B1%29%28x%5E2-6x%2B9%29%3D0)
![(x+1)(x^2-2(3)x+3^2)=0](https://tex.z-dn.net/?f=%28x%2B1%29%28x%5E2-2%283%29x%2B3%5E2%29%3D0)
Using ![(a-b)^2=a^2-2ab+b^2](https://tex.z-dn.net/?f=%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2)
![(x+1)(x-3)^2)=0](https://tex.z-dn.net/?f=%28x%2B1%29%28x-3%29%5E2%29%3D0)
USe zero product property and equate each factor equal to 0.
![x=-1,x=3,x=3](https://tex.z-dn.net/?f=x%3D-1%2Cx%3D3%2Cx%3D3)
Therefore the equation have three real roots out of which the value of two roots are same.
Option C is correct.
I assume you are referencing y=mx+b. The equation gives you the slope of the line (m), and a coordinate (x, y). As well as b, which could be used for many things.
Answer:
x=5/6
Step-by-step explanation:
k=4/5
3 and 5 can go into 15
10/15 and 12/15
10/15 divided by x =12/15
x=5/6
Answer:
Part A = 64 feet
Part B = 79 feet
Step-by-step explanation:
Part A
10 × 2 = 20 = Diameter
Formula is C = π × diameter
20 × π = 62.8318530718 feet = 64 feet
Part B
25 × 2 = 50
Same formula
50 × π = 157.079632679 feet
157.079632679 ÷ 2 = 78.5398163395 feet = 79 feet
divide by 2 because it is a semi circle
Hope his helped :)