Answer:
Step-by-step explanation:
4/5 x - 2 > 3/10 * 2x
4/5 x - 2 > 3/5 x
4/5 x - 2 - 3/5x> 0
1/5x > 2
x > 10
Answer:
We conclude that:
Step-by-step explanation:
Some background Concepts:
From the graph, it is clear that at x = -10, the graph intersects the x-axis.
So, the x-intercept of the graph is (-10, 0).
It means g(-10) = 0
From the graph, it is clear that at y = 5, the graph intersects the y-axis.
So, the y-intercept of the graph is (0, 5).
It means g(0) = 5
Determining g(-3):
From the graph, it is clear that at x = -3, the value of the function output = 3.5.
In other words,
at x = -3, g(-3) = 3.5
Therefore, we conclude that:
Answer:
Alex can buy 12 bottles of lemon-lime soda and 6 bottles of cranberry juice.
Step-by-step explanation:
Since Alex found a new fruit punch recipe that calls for cranberry juice and lemon-lime soda, if cranberry juice costs $ 3.60 per bottle and lemon-lime soda costs $ 1.40 per bottle and the recipe calls for 2 times as many bottles of lemon-lime soda as cranberry juice, to determine at most how many bottles of cranberry juice can he buy if he only has $ 38.40 the following calculation must be performed:
20 x 1.40 + 10 x 3.60 = 64
10 x 1.40 + 5 x 3.60 = 32
12 x 1.40 + 6 x 3.60 = 38.40
Therefore, Alex can buy 12 bottles of lemon-lime soda and 6 bottles of cranberry juice.
