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)

Answer:
### When does a set of ordered pairs represent a function?

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

(−7, 15).

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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Choose an integer from 1 to 2400 , what is the probabilty that the integer can not be divided by 6 and 8?

Find the sum of the measures of the INTERIOR angles in 36-gon polygon

At the new light bulb plant, 9 out of 25 light bulbs produced are defective. If the daily production is 4400 light bulbs, how many are defective?

Sky needs $6700 for school and has two options. Option A: 5 years at 5% interest with monthly payments of $126.44 Option B: 6 years at 3.5% interest with monthly payments of $103.30 Calculate the total payback on each loan and calculate how much Sky will save by choosing option B.

What’s the square root of 9/100

Find the sum of the measures of the INTERIOR angles in 36-gon polygon

At the new light bulb plant, 9 out of 25 light bulbs produced are defective. If the daily production is 4400 light bulbs, how many are defective?

Sky needs $6700 for school and has two options. Option A: 5 years at 5% interest with monthly payments of $126.44 Option B: 6 years at 3.5% interest with monthly payments of $103.30 Calculate the total payback on each loan and calculate how much Sky will save by choosing option B.

What’s the square root of 9/100

**Answer:**

$21 dollars

**Step-by-step explanation:**

**Answer:**

10

**Step-by-step explanation:**

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

your net income would be in each category?

Answer in three complete sentences to explain how much of your income is in each category.

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.

**Answer:**

The x -coordinate(s) of the point(s) of intersection of these two polynomials are

The sum of these x -coordinates is

**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, and we solve for x

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

The solutions are:

The sum of these x -coordinates is

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

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?:

**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:

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

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).

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

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. **

**h** = ** 30sin60**

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

Hence, The **angle** will a **35-ft. ladder** make the** horizontal** if it **reaches** the **sample spot** is

For more information about **Trigonometry** click the link given below.

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")

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")