Answer:
P= 7/9 miles
A= (7/18) miles²
Step-by-step explanation:
Length 'l' = (1/6) mile
Width 'w'= (2/9) mile
Perimeter 'P' is given by:
'P' = 2l + 2w => 2(1/6) + 2(2/9)
P= 7/9 miles
Area 'A' is given by:
A= l x w =(1/6) x (2/9) = (7/18) miles²
Answer:
1) f(g(0)) = 0
2) g(f(2)) = 2
3) g(g(0)) = 8
Step-by-step explanation:
Here, the given functions are:
g(x) = 3 x +2 and f(x)= (x-2)/3
1. Now, f(g(x)) = f(3x+2)
Also, f(3x+2) = (3x+2 -2) /3 = x
So, f(g(x)) = x
⇒ f(g(0)) = 0
2. g(f(x)) = g((x-2)/3) = 3((x-2)/3) +2
or, g(f(x)) = x
⇒ g(f(2)) = 3((2)-2/3) +2 = 2
or, g(f(2)) = 2
3. g(g(0)= g( 3 (0) +2) = g(2)
Now, g(2) = 3(2) + 2 = 6 + 2 = 8
or, g(g(0)) = 8
Santa and his elves had a workshop that allowed them to produce 22{,}912{,}546{,}99222,912,546,99222, comma, 912, comma, 546, co
zvonat [6]
Answer: 180 times
Step-by-step explanation:
Given the following :
Production capacity of old workshop :22,912,546,992 toys per year
Production capacity of new workshop:
4,134,232,638,937 toys
Approximately how many times as many toys can the new workshop produce each year compared to the old workshop?
Production capacity of new workshop / production capacity of old workshop
= 4,134,232,638,937 / 22,912,546,992
= 180.435
= 180 ( nearest whole number)
Answer:
(-1, -3) and (1, 1)
Step-by-step explanation:
Use a graphing calculator to graph out both lines:
(See picture)
Both lines intersect at points (-1, -3) and (1, 1). These are the solutions for the system of equations.
When looking at expressions like this,, you need to remember that the square root of a negative number does not exist in the set of Real Numbers. This means that there is no way to simplify this expression,, making the correct answer to your question Undefined.
Let me know if you have any further questions.
:)
