Graph y+5x+2.5=0 and (x,y):x->1)

Which statement could be used to explain why f(x)=2x-3 has an inverse relation that is a function

Gwar [14]

The <u>correct answer</u> is:

The function is a one-to-one function.

Explanation:

When an equation is graphed, we use the Vertical Line Test to determine if that equation is a function; if a vertical line hits more than one point anywhere on the graph, the graph is not a function.

This corresponds with the definition of a function: A function is a set of ordered pairs in which each element of the domain (x) is mapped to no more than one element of the range (y). Since every x has no more than one y, there will be no two points hit by the same vertical line.

When we have the graph of a function, to determine if it has an inverse, we use the Horizontal Line Test: if a horizontal line hits more than one point anywhere on the graph, the function does not have an inverse.

This corresponds with the definition of a one-to-one function: A function in which every element of the range (y) is mapped to exactly one element of the domain (x). Since every y has one x, there will be no horizontal line that hits more than one point anywhere on the graph.

7 0

3 years ago

Read 2 more answers

the school newspaper has a circulation of 500 and sells for $.035 a copy. the students decide to raise the price to increase the

Alik [6]

Let x be the number of times they raise the price on the newspaper. Then the new cost of the newspaper is

$.35+.05x$

Let y be the newspaper they sell, then the income will be

$y(.35+.05x)$

Now, we know that the circulation is of 500, assuming that they sold every newspaper at the original price now the number the will sell will be

$y=500-20x$

Plugging the value of y in the first expression we have that the income will be

$\begin{gathered} f(x)=(500-20x)(.35+\text{0}.5x)=175+25x-7x-x^2 \\ =-x^2+18x+175 \end{gathered}$

Then the income is given by the function

$f(x)=-x^2+18x+175$

To find the maximum value of this functions (thus the maximum income) we need to take the derivative of the function,

$\begin{gathered} \frac{df}{dx}=\frac{d}{dx}(-x^2+18x+175) \\ =-2x+18 \end{gathered}$

no we equate the derivative to zero and solve for x.

$\begin{gathered} \frac{df}{dx}=0 \\ -2x+18=0 \\ -2x=-18 \\ x=\frac{-18}{-2} \\ x=9 \end{gathered}$

This means that we have an extreme value of the function when x=9. Now we need to find out if this value is a maximum or a minimum. To do this we need to take the second derivative of the function, then

$\begin{gathered} \frac{d^2f}{dx^2}=\frac{d}{dx}(\frac{df}{dx}) \\ =\frac{d}{dx}(-2x+18) \\ =-2 \end{gathered}$

Since the second derivative is negative in the point x=9, we conclude that this value is a maximum of the function.

With this we conclude that the number of times that they should raise the price to maximize the income is 9. This means that they will raise the price of the newspaper (9)($0.05)=$0.45.

Therefore the price to maximize the income is $0.35+$0.45=$0.80.

4 0

1 year ago

Please help !! ............

Sauron [17]

I think the answer is C.... I’m not sure tho.

4 0

3 years ago

The probability distribution for a

Yanka [14]

There are only two possible outcomes in the table that satisfy <em>x</em> ≤ -3; either <em>x</em> = -5 or <em>x</em> = -3. Then

P(<em>x</em> ≤ -3) = P(<em>x</em> = -5) + P(<em>x</em> = -3) = 0.17 + 0.13 = 0.3

5 0

3 years ago

7 more than 5 times a number is 122

Luba_88 [7]

Answer:

The number is 23.

Step-by-step explanation:

5n + 7 = 122 Subtract 7 on both sides

5n = 115 Isolate the variable by dividing 5 on both sides

n = 23

<h3><u><em>Hope this helps!!! </em></u></h3><h3><u><em>Please mark this as brainliest!!! </em></u></h3><h3><u><em>Thank You!!! </em></u></h3><h3><u><em>:)</em></u></h3>

4 0

3 years ago