(f○g)(x)=f(g(x))
(f○g)(x)=6(4x+1)
(f○g)(x)=24x+6
Step-by-step explanation:
Let the breadth (b) of a rectangle be x
Then Length (L) = 2x
Now
Perimeter of the rectangle = 15 inches
Or, 2(L + b) = 15
2 ( 2x + x) = 15
2* 3x = 15
6x = 15
x = 15 / 6
x = 2.5 inch
Also Now
Length (L) = 2*2.5 = 5 inches
Breadth (b) = 2.5 inches
Hope it will help :)
Answer:
Center = (5,-3) and radius = 7
Step-by-step explanation:
(5) If Oskar bisects the diameter of a circle, what is he trying to construct the radius of the circle.
(6) The given equation is :

The general equation of circle is given by :
...(1)
Where
(a,b) are the coordinates of the centre and r is the radius.
The given equation can be written as :
..(2)
Comparing equation (1) and (2) we get :
a = 5, b = -3 and r = 7
So,
Center = (5,-3) and radius = 7
Hence, this is the required solution.
This is exponential decay which can be expressed as:
y=ab^t, y=final value, a=initial value, b=rate, t=time
In this case a=25000, r=(100-20)/100=0.8 so
y=25000(0.8^t), so in 4.5 years...
y=25000(0.8^4.5)
y≈$9158.93 (to nearest cent)