Answer : Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
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Since a serving is 1/2 cup and he needs 72 servings you can multiply 72 by 1/2 and find out that he needs to make 36 cups of punch. Two cups is a pint so he needs (36 / 2) 18 pints of juice. He already has the 8 pints of pineapple juice so 18 - 8 leaves 10 pints of orange juice.
Answer:
The value of f[g(2)] is 71.
Step-by-step explanation:
We need to find f[g(2)].
The first step is finding f[g(x)]
We have that:
To find f[g(x)], the first step is replacing each x is f by g(x). So
Now we replace x by 2
The value of f[g(2)] is 71.
Answer: The value of the card after you buy your 8th coffee will be $61.3
Step-by-step explanation:
The worth of the gift card for the coffee shop is $90. Each day you use the card to get a coffee for $4.10. This means that the worth of the gift card is reducing by $4.10 each day. This rate is in arithmetic progression.
The formula for the nth term of an arithmetic sequence, Tn is expressed as
Tn = a + (n-1)d
Where a is the first term
d is the common difference
n is the number of days
From the information given,
a = $90
d = - $4.1
The explicit formula representing the amount of money available will be
Tn = 90 - 4.1(n - 1)
The value of the card after you buy your 8th coffee will be
T8 = 90 - 4.1(8 - 1) = T8 = 90 - 4.1×7
T8 = 90 - 28.7
T8 = $61.3
