As it is one-to-one function,<span> f −1(12) = 1</span> 
        
                    
             
        
        
        
2x-21=3y divide by 3. 2/3x-7=y. So at 7 it crosses
        
             
        
        
        
Answer:  c) 3
<u>Step-by-step explanation:</u>
Plug in y = -9 and the given x-value to see if it makes a true statement.
a) -4.5 falls in the piecewise function x < -3  --> y = -x
 y = -x
-9 = -(-4.5)
-9 = 4.5    FALSE
b) -3 falls in the piecewise function -3 ≤ x ≤ -2  --> y = 2x
 y = 2x
-9 = 2(-3)
-9 = -6    FALSE
c) 3 falls in the piecewise function x > -2 --> y = -x²
 y = -x²
-9 = -(-3)²
-9 = -9   TRUE
d) 9 falls in the piecewise function x > -2 --> y = -x²
 y = -x²
-9 = -(9)²
-9 = -81   FALSE
 
        
             
        
        
        
SIDE LENGTH OF TRIANGLE: 2.14 inches
SIDE LENGTH OF HEXAGON: 6 inches
To solve this problem, we know that the shapes have equal sides as it states “equilateral triangle”. A triangle has 3 sides and a hexagon has 6 sides. We are told the perimeters are the same so you can set their perimeters equal to each other to solve for x. You would get this : 3(1.4x + 2) = 6(0.5x +2)
With basic algebra you would get x= 5
Then you substitute that value into the length sides of the triangle and hexagon. For the triangle you would approx get 2.14 inches and for the hexagon 6 inches
 
        
        
        
Answer:
8 pounds of gummy bears.
Step-by-step explanation:
To find this answer I did:
40/30 = 4/3
Then,
4/3 x 6 = 24/3
This simplified is 8.
To check:
8/6 x 5 = 40/30