Answer:
#1). 6 , 18 , 54
#2). 5/3 , 14 / 9 , 41/27
#3). 1.5 , 2.5 , 2.5
Step-by-step explanation:
#1).
g(x) = 3x
g(2) = 3 . 2 = 6
g²(2) = 3 . 3 . 2 = 18
g³(2) = 3 . 3 . 3 . 2 = 54
#2).
g(x) = 1/3 x + 1
g(2) = 2/3 + 1 = 5/3
g²(2) = g(5/3) = 5/9 + 1 = 14/9
g³(2) = g(14/9) = 14/27 + 1 = 41/27
#3).
g(x) = -1 ║x - 2 ║ + 3
g(0.5) = -1 (1.5) + 3 = 1.5
g²(0.5) = g(1.5) = -1(0.5) + 3 = 2.5
g³(0.5) = g(2.5) = -1(0.5) + 3 = 2.5
Answer:
3.141592658
Step-by-step explanation:
Answer:
- 6 bunches of bananas
- 7 pounds of apples
Step-by-step explanation:
We have to assume that a "piece of fruit" is either a bunch of bananas or a pound of apples. Without that assumption, there is insufficient information to work the problem.
Let B represent the number of bunches of bananas. Then 13-B is the number of pounds of apples. The total cost is ...
6B +8(13 -B) = 92
-2B + 104 = 92 . . . . . eliminate parentheses
B = -12/-2 = 6 . . . . . . subtract 104, then divide by the coefficient of B
13-B = 7 . . . . . . . . . . . the number of pounds of apples
The customer bought 6 bunches of bananas and 7 pounds of apples.
_____
<em>Comment on the solution</em>
You will note that finding the value of the variable involved arithmetic with negative numbers. If you want the numbers to stay positive, then you can choose the variable to represent <em>the most expensive</em> of the items: the number of pounds of apples.
96/43 = 196/43
the equation is false.
Hope this helps!
For this case we have the following function:
The first thing you should do is graph the function to see the behavior.
When observing the graph (in the attached image) we observe that the following point belongs to the graph:
To prove it, let's evaluate the point in the function:
The equation is fulfilled and therefore the point belongs to the graph.
Answer:
(6.2, 7.4)
See attached image
