2 answers:
Answer:
−3y2−8y−12
Step-by-step explanation:
Let's simplify step-by-step.
−5y2−9y−4−(−2y2−y+8)
Distribute the Negative Sign:
=−5y2−9y−4+−1(−2y2−y+8)
=−5y2+−9y+−4+−1(−2y2)+−1(−y)+(−1)(8)
=−5y2+−9y+−4+2y2+y+−8
Combine Like Terms:
=−5y2+−9y+−4+2y2+y+−8
=(−5y2+2y2)+(−9y+y)+(−4+−8)
=−3y2+−8y+−12
Answer:
![-3y^2-8y-12](https://tex.z-dn.net/?f=-3y%5E2-8y-12)
Step-by-step explanation:
Simplify each term.
![-5y^2-9y-4+2y^2+y-8](https://tex.z-dn.net/?f=-5y%5E2-9y-4%2B2y%5E2%2By-8)
Simplify by adding terms.
![-3y^2-8y-12](https://tex.z-dn.net/?f=-3y%5E2-8y-12)
<em>hope this helps :)</em>
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3. x = 53
4. x = 60
Step-by-step explanation:
Answer:
[2, 15]
Step-by-step explanation:
The graph shows the n/4 algorithm to be better (smaller run time) for n in the range 2 to 15.
![\dfrac{x_1+x_2+\cdots+x_{99}+x_{100}}{100}=51.28](https://tex.z-dn.net/?f=%5Cdfrac%7Bx_1%2Bx_2%2B%5Ccdots%2Bx_%7B99%7D%2Bx_%7B100%7D%7D%7B100%7D%3D51.28)
which means the sum of the 100 numbers must be
Answer:
no
Step-by-step explanation:
yes
Answer:
Step-by-step explanation:
For each of the yp(x) we can deduce the characteristic polynomial of the differential equation
A.
![yp(x)=Ax^2+Bx+C\\m^2=0\\y''=0](https://tex.z-dn.net/?f=yp%28x%29%3DAx%5E2%2BBx%2BC%5C%5Cm%5E2%3D0%5C%5Cy%27%27%3D0)
B.
![yp(x)=Ae^{2x}\\(m-2)m=0\\m^2-2m=0\\y''-2y=0](https://tex.z-dn.net/?f=yp%28x%29%3DAe%5E%7B2x%7D%5C%5C%28m-2%29m%3D0%5C%5Cm%5E2-2m%3D0%5C%5Cy%27%27-2y%3D0)
C.
![yp(x)=Acos2x+Bsin2x\\m_1=2i\\m_2=-2i\\y''+4=0](https://tex.z-dn.net/?f=yp%28x%29%3DAcos2x%2BBsin2x%5C%5Cm_1%3D2i%5C%5Cm_2%3D-2i%5C%5Cy%27%27%2B4%3D0)
D.
![yp(x)=(Ax+B)cos2x+(Cx+D)sin2x\\yp(x)=xcos4x](https://tex.z-dn.net/?f=yp%28x%29%3D%28Ax%2BB%29cos2x%2B%28Cx%2BD%29sin2x%5C%5Cyp%28x%29%3Dxcos4x)
hope this helps!!