Answer:
6x - 9
3(2x−3)
2a(5b+3)
Step-by-step explanation:
Factor 6a+10ab
10ab+6a
Factor 6x−9
6x−9
=3(2x−3)
:))
Answer:
Choice D).
is correct.
Step-by-step explanation:
Given function graph is sinusoidal so let's compare with formula ![f(x)=A\sin(Bx-C)+D](https://tex.z-dn.net/?f=f%28x%29%3DA%5Csin%28Bx-C%29%2BD)
We know that amplitude is the height from the center line to the peak (or to the trough). From graph we can see that height from the center line to the peak is 20
So amplitude A=20
In that formula, period is given by ![\frac{2\pi}{B}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%7D%7BB%7D)
From graph we see that period is ![\frac{\pi}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%7D%7B2%7D)
So both must be equal
![\frac{2\pi}{B}=\frac{\pi}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%7D%7BB%7D%3D%5Cfrac%7B%5Cpi%7D%7B2%7D)
![\frac{2}{B}=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7BB%7D%3D%5Cfrac%7B1%7D%7B2%7D)
cross multiplying them gives
B=4
Clearly there is no shift so C and D are 0
Now plug these values into formula ![f(x)=A\sin(Bx-C)+D](https://tex.z-dn.net/?f=f%28x%29%3DA%5Csin%28Bx-C%29%2BD)
![f(x)=20\sin(4x-0)+0](https://tex.z-dn.net/?f=f%28x%29%3D20%5Csin%284x-0%29%2B0)
![f(x)=20\sin(4x)](https://tex.z-dn.net/?f=f%28x%29%3D20%5Csin%284x%29)
Hence choice D is correct.
Answer:
it is the last one ( HE SIMPLYFIED INCORECCT)
Step-by-step explanation:
i took the test
First we use product rule
y=x^2lnx
dy/dx = x^2 d/dx (lnx) + lnx d/dx (x^2)
dy/dx = x^2 (1/x) + lnx (2x)
dy/dx = x + 2xlnx
now taking second derivative:
d2y/dx2 = 1 + 2[x (1/x) + lnx (1)]
d2y/dx2 = 1 + 2[1+lnx]
1+2+2lnx
3+2lnx is the answer