Answer:
The graph of f(x) is shifted k units to the right of the graph of g(x).
Step-by-step explanation:
Given the function and where k <0.
As, horizontal depends on the value of x and are when
g(x)=f(x+h) graph shifted to left.
g(x)=f(x-h) graph shifted to right.
Now, given
But here k is negative, when k is considered positive then f(x) becomes
⇒ The graph of f(x) is shifted k units to the right of the graph of g(x).
Correct option is B.
Answer:
cubic units
Step-by-step explanation:
We are given that a region bounded by a curves 
x=4 and about y=5
We have to find the value of volume of the resulting solid
To find the volume of resulting solid we are using cylinder method
Substitute the values of x then we get


y-7=2 and y-7=-2
y=7+2=9 and y=-2+7=5
Radius of cylinder =r=y-5
and height =h=
Using cylinder method and integrate along y -axis from y=5 to y=9
Volume =
volume=
Volume =![2\pi[-\frac{y^4}{4}+19\frac{y^3}{3}-115\frac{y^2}{2}+225y]^9_5](https://tex.z-dn.net/?f=2%5Cpi%5B-%5Cfrac%7By%5E4%7D%7B4%7D%2B19%5Cfrac%7By%5E3%7D%7B3%7D-115%5Cfrac%7By%5E2%7D%7B2%7D%2B225y%5D%5E9_5)
Volume =![2\pi[-\frac{6561}{4}+\frac{625}{4}+19(\frac{729-125}{3})-115(\frac{81-25}{2})+225(9-5)]](https://tex.z-dn.net/?f=2%5Cpi%5B-%5Cfrac%7B6561%7D%7B4%7D%2B%5Cfrac%7B625%7D%7B4%7D%2B19%28%5Cfrac%7B729-125%7D%7B3%7D%29-115%28%5Cfrac%7B81-25%7D%7B2%7D%29%2B225%289-5%29%5D)
Volume=
Volume =
Volume =
Hence, volume of resulting solid =
cubic units
Do you mean the value of y? there is no q in these equations.
The team plays 20 matches.
65% of the matches, the teams wins
= 20 * 0.65
= 13 matches
15% of the matches, the games ends in draw.
= 20 * 0.15
= 3 matches
The team is expected to lose in
= 20 - 13 - 3
= 4 matches