Answer:
7
Step-by-step explanation:
First ignore the cut corner and pretend that it is just a rectangle.
The rectangle's area would be 2×4=8.
Then find out the cut corner's area.
The area of that triangle would be 1.
8-1=7 So the area of the shape is 7.
The composition of a function and its inverse is x. So an easy approach to solve this question is to find the composition of a function with itself. If the composition results in an answer "x", then this will mean that function and its inverse are the same.
Finding the composition for 1st option:

Since the composition of the function with itself is not x, the function and its inverse are not the same.
Similarly, we can find the compositions of next 3 functions with themselves. The results of compositions are listed below:
(gog)(x)=g(g(x)) = x
(hoh)(x)=h(h(x))=

(kok)(x)=k(k(x))= x
Thus the option 2 and 4 are the correct answers i.e. these functions are the same as their inverse functions.
Answer:
- The equation 2n = p should be 2p = n.
- The actual cost of the onions is $3.00 per pound.
- Potatoes cost $1.50 per pound.
Step-by-step explanation:
The wording "onions cost twice as much as potatoes" is understood to mean the cost per pound of onions (n) is equal to two times the cost per pound of potatoes (2p). Then the appropriate equation would be ...
2p = n
Then the solution is ...
6p +3(2p) = 18
12p = 18
p = 18/12 = 1.50
n = 2p = 2(1.50) = 3.00
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The equation should be 2p = n; onions cost $3.00 per pound; potatoes cost $1.50 per pound.
Answer:
9 ft
Step-by-step explanation:
Pythagorean theorem:
x = the square root of 15 square minus 12 square
x= square root of 225-144
x= square root of 81
X = 9