Write the equation of the line that is parallel to y=4x-1 and passes through the point (4.9)
1 answer:
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Answer:
The correct answer is x > 2.
Step-by-step explanation:
An inequality compares two quantities unlike an equality. An inequality is written with either a greater than ( > ) or lower than ( < ) or greater than equal to ( ) or less than equal to (
) signs. We solve the above given inequality to find the solutions of the unknown x.
Firstly we change the right hand side quantity to fraction.
We then transfer the - to the right hand side and add them. The inequality sign does not change as we are simply adding or subtracting terms from both the ends.
Finally we divide both sides with to get the required solution. The inequality sign does not change as we are multiplying both the ends with a positive quantity.
This gives us the answer as x > 2.
First we find the zeroes so we don't take the integral of negative bits
4x-x²
x(4-x)
zeroes at x=0 and x=4
it opens down
so the part we are interested in is the bit between x=0 and x=4
![\int\limits^4_0 {4x-x^2} \, dx =[2x^2- \frac{1}{3}x^3]^4_0=(32- \frac{64}{3})-(0)= 10.6666666666](https://tex.z-dn.net/?f=%20%5Cint%5Climits%5E4_0%20%7B4x-x%5E2%7D%20%5C%2C%20dx%20%3D%5B2x%5E2-%20%5Cfrac%7B1%7D%7B3%7Dx%5E3%5D%5E4_0%3D%2832-%20%5Cfrac%7B64%7D%7B3%7D%29-%280%29%3D%20%2010.6666666666)
or aout 10 and 2/3
C is answer
4x-x²
x(4-x)
zeroes at x=0 and x=4
it opens down
so the part we are interested in is the bit between x=0 and x=4
C is answer