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lesya692 [45]
3 years ago
13

Herman joins three of his friends at the movies. They decide to share a jumbo box of popcorn to save money. A jumbo box is twelv

e inches on all sides. What is the volume of a jumbo box of popcorn? ​
Mathematics
1 answer:
zvonat [6]3 years ago
3 0

Answer:

$4.25

Step-by-step explanation:

Let price of drink be x

price of tub y

You have 4x+2y=32.5 (1) and

x = y -3.5                 (2)

Plug for x from (2) into (1):

4(y-3.5) + 2y = 32.5

4y -14 +2y = 32.5

6y = 14+32.5

y = (46.5)/6 = $7.75 the price of tub

x= y-3.5 = 7.75 - 3.5 = $4.25

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If the function f(x) has a domain of (g,h) and a range of (j,k), then what is the domain and range of g(x) = m(f(x)] + p?​
sertanlavr [38]

Answer:

Dom\{g(x)\} = Dom\{f(x)\} = (g, h).

Ran \{g(x)\} = (m\cdot j+p,m\cdot k +p)

Step-by-step explanation:

From Mathematics we remember that the domain of a functions corresponds to the set of values of the independent variable (x in this case) so that images exist and the range of a function is the set of images.

In this case, we know the domain and range of f(x) and we must find the domain and range of g(x).

Domain

The domain of g(x) is the domain of f(x). That is, Dom\{g(x)\} = Dom\{f(x)\} = (g, h).

Range

We have to define the bounds of the range of g(x), given that range f(x) is modified by streching and horizontal translation operations:

Lower bound (f(x) = j)

g(x) = m\cdot j +p

Upper bound (f(x) = k)

g(x) = m\cdot k +p

In consequence, the range of g(x) is Ran \{g(x)\} = (m\cdot j+p,m\cdot k +p)

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Step-by-step explanation:

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Step-by-step explanation:

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Hello!

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