Look at the set of ordered pairs.{(4, 6), (−7,−15), (13, 15), (−21, 8), (?, ?)}

Which of the following could replace the missing ordered pair to make the set not a function?

(−2, 4)
(21, 9)
(−7, 15)
(6, 8)
(13,−15)

Answers

Answer 1
Answer:

The ordered pair that could replace the missing ordered pair to make the set not a function is given as follows:

(−7, 15).

When does a set of ordered pairs represent a function?

A set of ordered pairs represents a function if every input (first component of the ordered pair) is associated with exactly one output (second component of the ordered pair). In other words, if no two ordered pairs in the set have the same first component but different second components.

Hence the ordered pair (-7,15) would make the relation not a function, as the set already has the ordered pair (-7,-15), in which the input 7 is already mapped to an output of -15, hence it cannot be mapped to an output of 15.

More can be learned about relations and functions at brainly.com/question/12463448

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Answer:

$21 dollars

Step-by-step explanation:

What is the median of 6, 7, 10, 12, 15? 12 10 9.6

Answers

Answer:

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Step-by-step explanation:

it is the middle value after you have put the numbers in numerical order

Suppose your net income every month is $3.750. In the 20-60-20Model, how much of
your net income would be in each category?
Answer in three complete sentences to explain how much of your income is in each category.

Answers

In the 20-60-20 budgeting model, 20% of your net income should go towards saving and investing for the future. 60% should go towards your daily expenses, such as housing, utilities, food, transportation, and healthcare. The remaining 20% can be used for discretionary spending, such as entertainment, dining out, vacations, or any other non-essential expenses.

Given that your net income is $3,750 per month, you should aim to save $750 (20% of $3,750) per month, spend $2,250 (60% of $3,750) on your essential expenses, and have $750 (20% of $3,750) left over for your discretionary spending.

It's important to note that this budgeting model is a general guideline and may not work for everyone. You may need to adjust the percentages based on your personal financial situation, goals, and lifestyle.

Consider the polynomials p(x) = 3x + 27x^2 and q(x)= 2 . Find the x -coordinate(s) of the point(s) of intersection of these two polynomials. What is the sum of these x -coordinates? (If there is only one point of intersection, give the corresponding x -coordinate.)

Answers

Answer:

The x -coordinate(s) of the point(s) of intersection of these two polynomials are x=(2)/(9)\approx0.2222,\:x=-(1)/(3)\approx-0.3333

The sum of these x -coordinates is (2)/(9)+\left(-(1)/(3)\right)=-(1)/(9)

Step-by-step explanation:

The intersections of the two polynomials, p(x) and q(x), are the roots of the equation p(x) = q(x).

Thus, 3x + 27x^2=2 and we solve for x

3x+27x^2-2=2-2\n27x^2+3x-2=0\n\left(27x^2-6x\right)+\left(9x-2\right)\n3x\left(9x-2\right)+\left(9x-2\right)\n\left(9x-2\right)\left(3x+1\right)=0

Using Zero Factor Theorem: = 0 if and only if = 0 or = 0

9x-2=0\n9x=2\nx=(2)/(9)

3x+1=0\n3x=-1\nx=-(1)/(3)

The solutions are:

x=(2)/(9)\approx0.2222,\:x=-(1)/(3)\approx-0.3333

The sum of these x -coordinates is

(2)/(9)+\left(-(1)/(3)\right)=-(1)/(9)

We can check our work with the graph of the two polynomials.

Taylor charges $15 for the first hour of dog walking and $10 for each additionalhour or fraction of an hour. The rates that Lucy charges for x hours of dog walking

are modeled with the function shown.

f(x) =

{

20x, 0
10x. 2
5x, x >4

Who will charge more to walk a dog for 2.5 hours, Taylor or Lucy? How much more?

Who?:

How much more?:

Answers

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of hours of dog walking. Taylor charges $15 for the first hour and $10 for each additional hour. Therefore:

Let g(x) represent how much Taylor charges. Hence:

g(x) = 15   for 0 ≤ x ≤ 1

g(x) = 15 + 10(x - 1) = 15 + 10x - 10 = 10x + 5   for x > 1

g(x) can be represented by the piecewise function:

g(x)=\left \{ {{15\ \ \ \ \ \ for\ 0\leq x\leq 1} \atop {10x+5\ \ for\ x>1}} \right.

Lucy charges f(x) is modeled by the piecewise function:

f(x)=\left \{ {{20x\ \ \ \ \  \ for\ 0\leq x\leq 2} \atop {10x\ \ \ for\ 0< x< 4}} \right.

Therefore the charge for walking a dog for 2.5 hours by either Taylor or Lucy is:

For Taylor; f(2.5) = 10(2.5) + 5 = $30

For Lucy; g(2.5) = 10(2.5) = $25

Therefore Taylor charges more by walking a dog for 2.5 hours. Taylors charge is $5 more than Lucy charge ($30 - $25).

A 30-ft. ladder makes an angle of 60 degrees with the horizontal when it reaches a given spot on a wall. What angle will a 35-ft. ladder make the horizontal if it reaches the sample spot?

Answers

The angle will a 35-ft. ladder make the horizontal if it reaches the sample spot is sin^(-1)(47.93).

Given that,

A 30-ft. ladder makes an angle of 60 degrees with the horizontal.

We have to find,

The angle will a 35ft.ladder make the horizontal if it reaches the sample spot.

According to the question,

A 30-ft. ladder makes an angle of 60 degrees with the horizontal when it reaches a given spot on a wall.

sin\theta = (h)/(30) \nsin60 = (h)/(30) \n

h = 30sin60

Then, the angle will a 35-ft. ladder make the horizontal if it reaches the sample spot.

sin\alpha = (30sin60)/(35)\nsin\alpha = (6 sin60)/(7) \n\alpha = sin^(-1)(47.93)

Hence, The angle will a 35-ft. ladder make the horizontal if it reaches the sample spot is sin^(-1)(47.93)

For more information about Trigonometry click the link given below.

brainly.com/question/19515865

So first you must find the height at which the "spot" is where the ladder touches the wall...

sin60=h/30

h=30sin60

Now we can find the angle that the 35 ft ladder make when it touches the same spot.

sinα=h/35  and using h we found earlier...

sinα=(30sin60)/35

α=arcsin[(30sin60)/35]

α≈47.93  (α≈47º55'42")