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2 years ago

What are the domain and range of the function on the graph?

1 answer:

8 0

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. Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values.

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Subtract (r - 3q + 5p) - (-4r - 3q - 8p)

Alex787 [66]

Answer: ok so Let's simplify step-by-step.

r−3q+5p−(−4r−3q−8p)

Distribute the Negative Sign:

=r−3q+5p+−1(−4r−3q−8p)

=r+−3q+5p+−1(−4r)+−1(−3q)+−1(−8p)

=r+−3q+5p+4r+3q+8p

Combine Like Terms:

=r+−3q+5p+4r+3q+8p

=(5p+8p)+(−3q+3q)+(r+4r)

=13p+5r

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

A theater has a seating capacity of 750 and charges $3 for children, s5 for students, and $7 for adults. At a certain screening

-BARSIC- [3]

Answer:

Between 150 and 450

Step-by-step explanation:

We are going to find the number by resolving a system of linear equations.

First we write the system equations :

$C+S+A=750$

Where C : children, S : students and A : adults

The equation represents the ''full attendance''

The second equation :

$3C+5S+7A=3450$

This equation represents the totaled receipts.

The system :

$C+S+A=750\\3C+5S+7A=3450$

has the following associated matrix :

$\left[\begin{array}{cccc}1&1&1&750\\3&5&7&3450\end{array}\right]$

By performing elementary matrix operations we find that the matrix is equivalent to

$\left[\begin{array}{cccc}1&0&-1&150\\0&1&2&600\\\end{array}\right]$

The new system :

$C-A=150\\S+2A=600$

Working with the equations :

$C = 150 + A\\S = 600-2A$

Our solution vector is :

$\left[\begin{array}{c}C&S&A\end{array}\right] =\left[\begin{array}{c}150+A&600-2A&A\end{array}\right]$

For example :

If 0 adults attended ⇒ A = 0

$C = 150 + 0 \\C = 150\\S = 600 - 2A\\S = 600$

This verify the totaled receipts equation :

150($3)+600($5) = $ 3450

A ≥ 0 ⇒ If A = 0 ⇒ C = 150

C = 150 is the minimum children attendance

From the equation :

$S = 600 -2A$

S ≥0

600 - 2A ≥ 0

600 ≥ 2A

300≥ A

A is restricted to the interval [ 0, 300]

When A = 0 ⇒ C = 150

When A = 300 ⇒C = 150 + A = 150 + 300 = 450

Children ∈ [ 150,450]

With C being an integer number (including 0)

Also S and A are integer numbers (including 0)

7 0

3 years ago

There are 37 more cats than dogs in an animal shelter. If there are 78 cats at he shelter, how many dogs are there?

Sloan [31]

There are 41 dogs in the shelter

8 0

3 years ago

Read 2 more answers

Liono4ka [1.6K]

Finding a price that is 30% lower than $2075 is the same as finding a price that is 70% of $2075.

That means all we need to do is calculate what is 70% of $2075.

Convert 70% into decimal form which is 0.70.

Next, multiply $2075 by 0.70.

$2075*0.70 = $1452.50

The price the travel agent found was $1452.50

Note: If you don't know how to multiply by decimals you can multiply $2075 by 7 than divide the result by 10 (move the decimal point one place to the left).

7 0

3 years ago

Which equation can be used to represent "six added to twice the sum of a number and four is equal to half the difference of thre

forsale [732]

2(n+4) + 6 = (1/2)(3-n)

Then 2n + 8 + 6 = 3/2 - n/2
and 2n + 14 = 3/2 - n/2

(5/2)n = 3/2 - 28/2 = -25/2
-25/2
n = -------------- = -5 (answer)
5/2

6 0

2 years ago