X = 1 hr lessons and y = 1/2 hr lessons
x + y = 35......y = 35 - x
40x + 25y = 1115
40x + 25(35 - x) = 1115
40x + 875 - 25x = 1115
40x - 25x = 1115 - 875
15x = 240
x = 240/15
x = 16 <=== there are 16 one-hr lessons
and 19 half-hr lessons
        
             
        
        
        
Answer:
x=8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4(x−6)+12=20
(4)(x)+(4)(−6)+12=20(Distribute)
4x+−24+12=20
(4x)+(−24+12)=20(Combine Like Terms)
4x+−12=20
4x−12=20
Step 2: Add 12 to both sides.
4x−12+12=20+12
4x=32
Step 3: Divide both sides by 4.
4x
4
=
32
4
 
        
             
        
        
        
Answer:
y= 3x - 15
Step-by-step explanation:
parallel lines have the same slope, but different y intercepts
 
        
             
        
        
        
Yes
For f(x) to represent a function each value of x from the domain must only map to one unique value in the range, called one-to-one
This is the case here as each value of x maps to one unique value in the range
domain x ∈ {- 5, - 4, 0, 3 }
range y ∈ {0, 2, 10, 16 }