27.5 / 3.5 = 7.86; The average yearly snowfall was 7.86 inches.
Step-by-step explanation:
9(7x-2) = 5 (10x - 1)
63x-18=50x-5
63x-50x=-5+18
13x=13
x=13/13
x=1
The given polynomial is
![x^4-4x^2-4x-8](https://tex.z-dn.net/?f=%20x%5E4-4x%5E2-4x-8%20)
As this is a fourth degree polynomial, we can not directly use any formula, So here we will use hit and trial method
check whether x=-1 is a zero of the polynomial or not
![(-1)^4-4(-1)^2-4(-1)-8=-7](https://tex.z-dn.net/?f=%20%28-1%29%5E4-4%28-1%29%5E2-4%28-1%29-8%3D-7%20)
Hence x=-1 is not a zero.
Now check whether x=-2 is a zero of the polynomial or not
![(-2)^4-4(-2)^2-4(-2)-8=0](https://tex.z-dn.net/?f=%20%28-2%29%5E4-4%28-2%29%5E2-4%28-2%29-8%3D0%20)
Hence x=-2 is a zero of the polynomial.
Hence we can re-write the polynomial as
![x^4-4x^2-4x-8=x^4+2x^3-2x^3-4x^2-4x-8\\ \\ =x^3(x+2)-2x^2(x+2)-4(x+2)\\ \\ =(x+2)(x^3-2x^2-4)\\](https://tex.z-dn.net/?f=%20x%5E4-4x%5E2-4x-8%3Dx%5E4%2B2x%5E3-2x%5E3-4x%5E2-4x-8%5C%5C%20%5C%5C%20%3Dx%5E3%28x%2B2%29-2x%5E2%28x%2B2%29-4%28x%2B2%29%5C%5C%20%5C%5C%20%3D%28x%2B2%29%28x%5E3-2x%5E2-4%29%5C%5C%20)
Hence the required binomial is (x+2)
9514 1404 393
Answer:
k ≈ 0.03719
Step-by-step explanation:
Fill in the given numbers and solve for k.
750 = 600e^(6k)
1.25 = e^(6k)
ln(1.25) = 6k . . . . . take the natural log
k = ln(1.25)/6 . . . . . divide by 6
k ≈ 0.03719