Decimal Form:
4.59375<span>
</span>
Exact Form:
<span>147/32</span><span>
</span>Mixed Number Form: <span>4 19/32</span>
Answer:
45
Step-by-step explanation:
Subtract the numbers
(3+(8-2)). x5
[3+6)]. x5
Add the numbers
[3+6]. x5
[9]. x5
Start by integrating y'' twice to get function y(x).
![y' = \int (12x - 2) dx = 6x^2 -2x + c \\ \\ y = \int (6x^2 -2x+c )dx= 2x^3-x^2 +cx+d](https://tex.z-dn.net/?f=y%27%20%3D%20%5Cint%20%2812x%20-%202%29%20dx%20%3D%206x%5E2%20-2x%20%2B%20c%20%5C%5C%20%20%5C%5C%20y%20%3D%20%5Cint%20%286x%5E2%20-2x%2Bc%20%29dx%3D%202x%5E3-x%5E2%20%2Bcx%2Bd)
Next find value of coefficients 'c' and 'd' using the given tangent line
The slope of tangent line is equal to y' when x=1.
![6x^2 -2x+c = -1, x = 1 \\ \\ 6-2+c = -1 \\ \\ c = -5](https://tex.z-dn.net/?f=6x%5E2%20-2x%2Bc%20%3D%20-1%2C%20x%20%3D%201%20%5C%5C%20%20%5C%5C%206-2%2Bc%20%3D%20-1%20%5C%5C%20%20%5C%5C%20c%20%3D%20-5)
The tangent line intersects the curve y(x) when x = 1.
If x = 1, then y = 4 (From y =-x+5)
![y = 2x^3 -x^2-5x +d , x = 1, y = 4 \\ \\ 2-1-5+d = 4 \\ \\ d = 8](https://tex.z-dn.net/?f=y%20%3D%202x%5E3%20-x%5E2-5x%20%2Bd%20%2C%20x%20%3D%201%2C%20y%20%3D%204%20%5C%5C%20%20%5C%5C%202-1-5%2Bd%20%3D%204%20%5C%5C%20%20%5C%5C%20d%20%3D%208)
Final Answer:
Answer: 40.192 cm
Step-by-step explanation:
the formula for circumference is ![2\pi r](https://tex.z-dn.net/?f=2%5Cpi%20r)
In this case we are using 3.14 for pi and the radius is 6.4
![(2)(3.14)(6.4)\\(6.28)(6.4)\\40.192](https://tex.z-dn.net/?f=%282%29%283.14%29%286.4%29%5C%5C%286.28%29%286.4%29%5C%5C40.192)
The domain is always the X also called the abscissa, So based on this we can easily conclude the answer to this is -2,0,2 because you don't repeat numbers