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Natasha_Volkova [10]
3 years ago
7

Use the graph to determine the function's domain and range. Explain your answer.

Mathematics
1 answer:
mixas84 [53]3 years ago
3 0
The domain is defined as  all the possible x values. The graph extends to the left and to the right without bounds  so the domain is All Real Values of x.
It can also be written as   (-∞, ∞)  This is called interval notation.

Note that  the minimum value of f(x)  is -4  so the range is [-4, ∞).   (All real values of y equal to or greater than -4)

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Tom has three times as many pencils as pens but has a total of de 100 writing utensils. How many pencils and pens does toms have
IrinaVladis [17]

Answer:

Tim has 75 pencils and 25 pens

Step-by-step explanation:

To solve this create a system of equations. To do so, first create an equation for the total number of utensils that he has. Let x equal the number of pencils and y equal the number of pens.

x+ y = 100

Now make one for the comparison of the two and solve for the constant.

x = 3y

x - 3y = 0

Now to solve the system, multiply the second equation by -1 and add them together.

x + y = 100

-x + 3y = 100

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4y = 100

y = 25

Now that we have the number of pens, find the number of pencils using an equation.

x + y = 100

x + 25 = 100

x = 75

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1 year ago
-3(y-5)=24 what is the value of y
Gemiola [76]
Step 1
distribute the -3
-3(y-5)=24
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