Answer:
The area is 78.5, the farmer does have enough space to plant his vegetables
Step-by-step explanation:
To find the area, you need to use the formula, A=πr², (make sure the diameter is turned into the radius by dividing by 2, in this case, it's 5 as the radius)
Plug in your numbers, A= 3.14(5)²
A= 3.14(25)
The area is 78.5
So the farmer does have enough space to plant his vegetables since 78.5 is greater than 25
Answer:
12 packages.
Step-by-step explanation:
Peaceful travel agency offers vacation packages.
Each vacation package include a city, a month and an airline.
The agency has 2 cities, 3 months and 2 airlines to choose from.
Agency can offer the number of different packages = 2 × 3 × 2
f(x)=(x+a)/b
or bf(x)=x+a
let f(x)=y
by=x+a
flip x and y
bx=y+a
or y=bx-a
or f^{-1}(x)=bx-a
also g(x) is inverse of f(x)
bx-a=cx-d
so b=c,a=d
again let g(x)=y
y=cx-d
flip x and y
x=cy-d
cy=x+d
y=(x+d)/c
or g^{-1}(x)=(x+d)/c
also f(x) is inverse of g(x)
so (x+a)/b=(x+d)/c
so a=d,b=c
so in either case a=d,b=c
take b=c=1
a=d=2
f(x)=(x+2)/1=x+2
g(x)=1x-2=x-2
so f(x) and g(x) are two parallel lines f(x) with y- intercept=1 and slope 0
g(x) with y-intercept -2 and slope 0
if we take b=c=2,a=d=3
f(x)=(x+3)/2=x/2+3/2
g(x)=2x-3
here f(x) is of slope 1/2 and y-intercept 3/2
g(x) is of slope 2 and y intercept -3
part 3.
f(f(x))=g((x+a)/b)=c[(x+a)/b]-d=(c/b)(x+a)-d
3/2 is an improper fraction, where the denominator (bottom number) is smaller than the top (numerator)
1 1/2 is this same fraction but now it is not improper.