Six movie tickets cost $96 what is the cost per ticket
2 answers:
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Answer: (g-f)(x)=-4x
Explanation: According to the graph, line created by function f(x) passes through the points (1,-3) and (0,0) and similarly, line created by the function passes through the points (1,1) and (0,0).
Thus, we can find the equation of the lines with help of formula ×
so, equation of line created by function f(x)
y+3=×(x-1)
y+3=×(x-1)
y+3=-3x+3
y=-3x thus function f(x)=-3x
similarly, equation of line created by function g(x)
y=x thus function g(x)=x
Now, we have to find out, (g-f) (x)= g(x)-f(x)= -3x-x= -4x
Part A.
Consider a punch containing L liters.
60% of these that is
is grape juice, and the rest, 0.4 L is lemon-soda.
so, for the variable L, the total amount of punch, the total amount of grape juice is 0.6 L
and the amount of lemon soda in the punch is 0.4L
Part B.
For L=2, we substitute and get:
0.6 L=0.6 * 2 liters = 1.2 liters of grape juice
0.4 L = 0.4 * 2 liters = 0.8 liters of lemon soda.
Consider a punch containing L liters.
60% of these that is
so, for the variable L, the total amount of punch, the total amount of grape juice is 0.6 L
and the amount of lemon soda in the punch is 0.4L
Part B.
For L=2, we substitute and get:
0.6 L=0.6 * 2 liters = 1.2 liters of grape juice
0.4 L = 0.4 * 2 liters = 0.8 liters of lemon soda.