Respond

1. Describe a real-life situation that can be modeled by a function (a relation in which every input
value corresponds to only one output value). The situation must be different from the examples
provided in the reading and in the homework. Identify the input value and the output value of the function, and provide justification that your
relation does, in fact, represent a function.


2. Create a function in the form y = f(x) that models the relation described. You may choose variables in place of y or x that better represent the relation, as seen in the provided example.


3. Identify the domain and range of your function, using proper mathematical notation.


4. Cite any sources you may have used in
formulating your response.

Answers

Answer 1

A real-life situation that can be modeled by a function is that Bob has 20 pens and buys extra 5 pens weekly.

What is a function?

It should be noted that a function simply means an expression that shows the relationship between the variables.

In this case, a real-life situation that can be modeled by a function is that Bob has 20 pens and buys extra 5 pens weekly.

The function will be:

= 20 + 5w

where w represents the number of weeks.

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Related Questions

can anyone help me with this? 10th grade geometry

Answers

Answer:

In romania I was doing this in the 6th grade

Step-by-step explanation:

5.

A B and D C are parallel lines.

"slope" means inclination. and as you can imagine, parallel lines must have the same inclination, or they would not be parallel.

so, the slope of D C must be also 2/7.

4.

same thing as with 5.

both lines are parallel and must therefore have the same slope.

so, the slope of D C is also 3/4. and the first answer is correct.

What is the area of the circle below if the area of the square is 36?

Answers

If the area of the square is 36 square units. Then the area of the circle will be 28.26 square units.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The area of the square will be given as 36 square units.

Then the side length of the square will be

36 = a²

 a = 6 units

Then the diameter of the circle and side length of the square are equal. Then we have

a = d = 6 units

Then the radius of the circle will be

2r = d

2r = 6

 r = 3 units

Then the area of the circle will be

Area of circle = πr²

Area of circle = 3.14 x 3²

Area of circle = 28.26 square units.

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Find the area of EFGH

Answers

The area of triangle FGH that is similar to triangle ABC is: 8 square feet.

What is the Area of Similar Figures?

If two shapes are similar, the ratio of their areas equals the ratio of the square of their corresponding sides.

Therefore:

area of triangle EFG / area of triangle ABC = FG²/BC²

Plug in the values

area of triangle EFG / 18 = 2²/3²

area of triangle EFG / 18 = 4/9

area of triangle EFG = (18×4)/9

area of triangle EFG = 8 sq. ft.

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a pentagon with sides 3 4 5 6 and 7 has area 48m. find the perimeter of a similar pentagon whose area is 27m

Answers

Answer:

19.8 rounded to 20m

Step-by-step explanation:

reason;

Area=1/2 x perimeter x apothem

27=1/2 x p x 2.726

Divide both sides by 1/2

54= p x 2.726

Now divide both sides by 2.726 to isolate p

Answer p=19.8

The answer is p=19.8

Tell me the coordinates

Answers

Answer:

1)  N/A

2) ( -0.714, 3.857)

Step-by-step explanation:

for question 1 since the slope is the same, they will never intersect

for question 2 they intersect at (-0.714, 3.857)

1) as for the coordinates, for y=3x+2 it is (0,2) (-2/3, 0) it's an upward slope

y=3x-5 coordinates are (0, -5) (1.667, 0) it's an upward slope

2) 4x+y=1 coordinates are (0,1) (1/2, 0) it's a downwards slope

y=3x+6 coordinates are (-2, 0) (0,6) it's a upward slope

The dot plot below shows the hourly rate of some babysitters in a city:

A number line is shown from 1 dollar to 7 dollars in increments of 1 dollar for each tick mark. The horizontal axis label is Dollar per hour. There are 4 dots above 4 dollars, 2 dots above 5 dollars, 3 dots above 6 dollars, and 1 dot above 7 dollars. The title of the line plot is Babysitting Rates.

Which statement best describes the shape of the data?

It is a cluster from $1.00 to $7.00 and has no gaps.
It is a cluster from $1.00 to $7.00 and has gaps.
It is not symmetric and has a peak at $4.00.
It is symmetric and has a peak at $7.00.

*will mark brainliest*

Answers

Answer:

A dot plot is like a histogram but it uses dots instead of bars. Like histogram, a dot plot also presents the frequency of data points. The dot plot as described by the problem is shown in the picture. A bell shape is drawn for a symmetrical data. From the choices, the answer is: It is symmetric and has no gaps. The other statements are wrong because the peak is at $5 or $6.

Answer:

A dot plot is like a histogram but it uses dots instead of bars. Like histogram, a dot plot also presents the frequency of data points. The dot plot as described by the problem is shown in the picture. A bell shape is drawn for a symmetrical data. From the choices, the answer is: It is symmetric and has no gaps. The other statements are wrong because the peak is at $5 or $6.

Step-by-step explanation:

A dot plot is like a histogram but it uses dots instead of bars. Like histogram, a dot plot also presents the frequency of data points. The dot plot as described by the problem is shown in the picture. A bell shape is drawn for a symmetrical data. From the choices, the answer is: It is symmetric and has no gaps. The other statements are wrong because the peak is at $5 or $6.

Complete the long division problem on your own sheet of paper. Then, fill in the digits. 2 ÷ 694

Answers

Answer:

Here!! Hope i helped.

Which expression is equivalent to 6^4 • 6^3?
(6•6•6•6)+(6•6•6)
(6+6+6+6)•(6+6+6)
(6•6•6•6)•(6•6•6)
(6•6•6•6•6)•(6•6•6•6)​

Answers

Answer: C)

Step-by-step explanation:

Which expression product is modeled by the tiles(2x+1)(x+1)

Answers

[tex](2x + 1)(x + 1)[/tex]

•Distribute

[tex](2x + 1)(x + )[/tex]

[tex]2x(x + 1) + 1( x + 1)[/tex]

•Distribute

[tex]2x(x + 1) + 1(x + 1)[/tex]

[tex]2x² + 2x1(x + 1)[/tex]

•Multiply

[tex]2x² + 2x + 1(x + 1)[/tex]

[tex]2x² + 2x + x + 1[/tex]

•Combine like terms

[tex]2x² + x + x + 1[/tex]

[tex]2x²+ 3x + 1[/tex]

Solution:

[tex]2x² + 3x + 1[/tex]

Explanation:

see the graph


What is the slope of the line that passes through the points (-6, 1) and (-6,-4)?
Write your answer in simplest form.

Answers

Answer:

horizontal line

Step-by-step explanation:

The slope formula is m=(y2-y1)/(x2-x1)

-6+6/-4-1

y2-y1 = 0

Find the factor of each ff.
6z²+12z+18​

Answers

Answer:

Step-by-step explanation:

6z² + 12z +1 8​

= 6(z^2 + 2z + 3).

That's it.

NO LINKS!!! For each below, tell whether the table represents a linear, exponential, inverse or no relationship. Write an equation for each table (if possible).​

Answers

Answer:

[tex]\large \boxed{\sf y = (x - 2)^2 - 4}[/tex]

[tex]\large \boxed{\sf Quadratic \ Function}[/tex]

Explanation:

A linear function shall increase linearly. Here due to mass differences between points, it is visible that it is not a linear function.

There is a better way to understand what type of equation it is after plotting the coordinates on the graph.

Look at the attachment!

After looking so, we can determine this as quadratic function.

** Not a exponential, inverse, linear function **

To find equation:

Quadratic function: y = a(x - h)² + k

Locate (h, k) = (2, -4)

Take any other suitable point for example = (0, 0)

Insert values to find (a),

a(0 - 2)² - 4 = 0

4a = 4

a = 1

Now Join together: y = 1(x - 2)² - 4   --- Quadratic Equation

Exponential

It should be a parabola

The best shortcut trick is the fact about the parabola is that parabola is symmetric and axis of symmetry goes through vertex

So on both sides of vertex i e same distance on x from vertex the two x values have same y value .

Observe the table and find similar y values

(0,0) and (4,0)(1,-3) and (3,-3)

FIND midpoint of x which is axis of symmetry

0+4/2=21+3/2=2

We have been sured axis of symmetry is at x=2

Vertex (2,-4)

Form equation

y=a(x-h)²+ky=a(x-2)²-4

Put (5,5)

5=a(5-2)²-45=a(3²)-49a-4=59a=9a=9

Final equation

y=(x-2)²-4

Please help, thank you! Image below

Answers

Answer:

The diameter divides a circle into fourths. (False)

The diameter is twice the length of the radius. (True)

The diameter is the distance around the circle. (True)

The diameter is a chord. (True)

The diameter passes through the center of a circle. (True)

The diameter is about three times larger that the circumference. (I don't really know this from the top of my head. Sorry!

Step-by-step explanation:

Hope this helps!

From your neighborhood softie. :)

How many three digit numbers can you make by arranging the numbers 5, 4, and 9.

Answers

okay,here is about a formula.

n=2x

where x is the numbers.

n=2×3

n=6.

therefore the three digit numbers which can be obtained is 6.

find the domain and range

Answers

Answer:

Domain: all real numbers (all reals)

Range: y> OR EQUAL TO -2

Step-by-step explanation:

Hope this helps! ;-)

Which set of graphs can be used to find the solution set to 3e^x> -1/2x?

Answers

Step-by-step explanation:

all the pink area above the blue line (above means ">", and the blue line is -1/2 x), and not including the line.

Picture is attached! Select the reason that nest supports Statement 3 on the given proof

Answers

The reason that best supports statement 3 in the given proof is the substitution property of equality. The correct option is - D. Substitution

Substitution property

The substitution property of equality states that, if m = n, then m can be substituted in for n in any equation, and vice versa.

From the question, we are to determine the reason that best supports Statement 3

In the diagram, statement 3 is

m∠A ÷ 5 = 20°

From the given expressions,

m∠A ÷ 5 = m∠B and m∠B = 20°

By the substitution property, we can substitute 20° for m∠B in the first expression

That is,

m∠A ÷ 5 = m∠B  becomes

m∠A ÷ 5 = 20°

Hence, the reason that best supports statement 3 in the given proof is the substitution property of equality. The correct option is - D. Substitution

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Sorry it is hard to read, I’m using an iPhone 6 lol
Giving brainliest

Answers

Answer:

Domain: [tex]\displaystyle (-\infty,-3)\cup(-3,6)\cup(6,\infty)[/tex]

Range: [tex](-\infty,0)\cup(0,\frac{1}{9})\cup(\frac{1}{9},\infty)[/tex]

Step-by-step explanation:

Factor the numerator and denominator

[tex]\displaystyle f(x)=\frac{x-6}{x^2-3x-18}\\ \\f(x)=\frac{x-6}{(x-6)(x+3)}\\\\f(x)=\frac{1}{x+3}[/tex]

Because the factor [tex]x-6[/tex] exists in both the numerator and denominator, then there is a hole at [tex]x=6[/tex] because the function is not continuous there. Additionally, because the denominator cannot be 0, [tex]x\neq-3[/tex], and there will be a vertical asymptote at the line [tex]x=-3[/tex].

Thus, the domain of the function is [tex]\displaystyle (-\infty,-3)\cup(-3,6)\cup(6,\infty)[/tex].

Also, notice that because [tex]x\neq6[/tex], as the function gets closer to [tex]x=6[/tex], the function gets closer to [tex]\displaystyle f(6)=\frac{1}{6+3}=\frac{1}{9}[/tex], so [tex]\displaystyle y=\frac{1}{9}[/tex] is not included in the range.

Thus, the range is [tex](-\infty,0)\cup(0,\frac{1}{9})\cup(\frac{1}{9},\infty)[/tex].

Please help? I need to please it will give you a lot of rewards

Answers

Answer:

<HAD

Step-by-step explanation:

Identify the coordinates of the vertex of f(x) = -(x + 5)2 + 8, and identify whether it is an absolute minimum or absolute maximum.​

Answers

Answer:

It is in vertex form so:

(x-h) + k --> (x-(-5)) + 8 = (x + 5) + 8

(h,k)

(-5, 8)

This equation turns out to be linear. So it would be an absolute maximum probably since negative values of x are greater than positive values of x.

higher level thinking cell phone plan is shown on the right. Prices, which include an unlimited data plan, are the same every month for 7 months. The total cost for all seven months is $180.39. Let m be the average number of minutes exceeding 700 minutes each month. 700 minutes talked: $19.70 per month Every minute over 700 minutes: $0.05 per minute A. Write an equation to represent the given situation

Answers

Equation to represent the given situation :

7(19.70 + 1.97 + m X 0.05) = 180.39,

What is Linear Equation?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given that:

Total cost for 7 month =$180.39

Let m be the average number of minutes  that exceeds 700 minutes each month.

Equation :

7(19.70 + 1.97 + m X 0.05) = 180.39,

or,  7(19.70 + 1.97 + m X 0.05) = 180.39,

or, 21.67 + 0.05m = 180.39/ 7,

or, 0.05m = 25.77 – 21.67,

0.05m = 4.1

m= 82

Hence,  equation to represent the given situation : 7(19.70 + 1.97 + m X 0.05) = 180.39.

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HELP PLEASE!!! Which shows how to find the value of this expression when x=-2 and y=5?

Answers

I think it’s B BECAUSE

Round 82585 to the nearest ten thousand. Enter your answer in the box
below.

Answers

The answer to this is 80000

A company rents storage sheds shaped like rectangular prisms. Each shed is 11 feet long, 7 feet wide, and 12 feat tall. The rental cost is $3 per cubic foot. How much does it cost to rent one shed?​

Answers

Answer:

308

Step-by-step explanation:

so to find how much a rectangular prisim is by

length * with* height

11* 7 * 12

= 924 cubic feet

and then we just divid by 3

=308

pls help, urgently!!!

Answers

Answer:

Yes, no is correct

Step-by-step explanation:

This is because you only add up the outside sides of the polygon to find the perimeter. None of the inside sides. Hope this makes sense and hope it helps.

Answer:

No, because the friend counted a length that is inside of the polygon, which you don't need for finding the perimeter, since the perimeter is the sum of the outside lengths of the polygon.

-1/2(x+5)=-10 I WONT BREATHE UNTIL U ANSWER ME!!

Answers

Step-by-step explanation:

well don't breath just collect like terms and booom

Answer: x = 15

Step-by-Step Explanation:

= -1/2(x + 5) = -10

We can cancel the Negative symbols,
= 1/2(x + 5) = 10
= 1/2 * x + 1/2 * 5 = 10
= x/2 + 5/2 = 10
= x + 5 = 10 * 2 = 20
= x = 20 - 5
= x = 15

Please mark as Brainliest if I helped!

NEED HELP WITH SLOPE

Answers

take two points

(2,4)(-3,-3)

Slope

m=y2-y1/x2-x1m=-3-4/-3-2m=-7/-5m=7/5

Answer:

[tex]m=\dfrac{7}{5}[/tex]

Step-by-step explanation:

To find the slope of a line, find two points on the line and define them as follows:

[tex]\textsf{let}\:(x_1,y_1)=(-3,-3)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(2,4)[/tex]

Substitute the points in the slope formula and solve for m:

[tex]\begin{aligned}\textsf{slope}\:(m) & =\dfrac{y_2-y_1}{x_2-x_1}\\\\ & =\dfrac{4-(-3)}{2-(-3)}\\\\ & = \dfrac{4+3}{2+3}\\\\ & = \dfrac{7}{5}\end{aligned}[/tex]

Therefore, the slope of the given line is [tex]\dfrac{7}{5}[/tex]

may someone help me please?

Answers

Step-by-step explanation:

Radio=

Normal Price = K48.

Discount 20%

Selling Price

Melissa Doubet's home is insured for 90% of its replacement value of $94,000, or
$84,600. Use the chart below to determine the amount of coverage for her personal
property.
Insurance Coverage Chart
Coverage
Percent of Coverage
Garage and other structures
15%
Loss of use
30%
Personal property
60%
O $51,276
O $47,328
$50,760
$49,970

Answers

Based on the percentage coverage for personal property, the amount of coverage for Melissa's personal property is $50,760.

What is Melissa's personal property coverage?

This can be found by the formula:

= Replacement value x Percentage of personal property coverage

Solving gives:

= 84,600 x 60%

= $50,760

In conclusion, Melissa's personal property coverage is $50,760.

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A food truck is serving a special lunch combo meal that includes a drink, a main dish, and a dessert.
Customers can choose from 2 drinks, 4 main dishes, and 3 desserts.
How many different combo meals are possible?
Select from the drop-down menu to correctly complete the statement.
Customers can create Choose... different lunch combo meals.

Answers

Answer:

It's 90 if you go through k12 :]

Step-by-step explanation:

The number of ways to choose a combo meal is 24.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

2 drinks, 4 main dishes, and 3 desserts

Now,

To find the number of different combo meals possible, we can use the fundamental counting principle. This states that if there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things.

2 ways to choose a drink

4 ways to choose a main dish

3 ways to choose a dessert

2×4×3=24

Therefore, by algebra the answer will be 24.

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