In 2006 the median yearly family income was about 48,200 per year suppose the average annual rate of change since then is $1240 per year. Write and graph the equality for the annual family incomes y that are less than the median x years after 2006

Answers

Answer 1

The inequality for the annual family income is:

y < 1240x + 48,200

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

Let x=0 be the year 2006

The inequality is:

y < 1240x + 48,200

Graphing:

Consider equal sign in place of < symbol

Take random values for x, find corresponding y values and plot them

Mark it as dashed line as shown in the graph because of the inequality symbol "< "

To learn more about the inequality from the given link

https://brainly.com/question/25275758

#SPJ1

In 2006 The Median Yearly Family Income Was About 48,200 Per Year Suppose The Average Annual Rate Of

Related Questions

Y=-3x-17 and y=x-1
Solving linear systems by substitution

Answers

Answer:

x = 8, y = 7

Step-by-step explanation:

The two equations are

y = 3x - 17 [1]

y = x -1 [2]

Substitute y = x - 1 in the first equation

x - 1 = 3x - 17

==> x - 3x = -17 + 1

==> -2x = -16

==> x = -16/-2 = 8

Sub for x in [2]

y = 8 - 1 = 7

How many solutions does the system of equations have?

Answers

Answer: IT can have simultaneous solutions

Step-by-step explanation:

You need to go through the cubic units and count them to get the answer

Answer:

2 solutions

Step-by-step explanation:

The solutions of the system of equations are the points of intersection of the two graphs, the red line and the blue parabola. Since there are two points of intersection, there are 2 solutions.

Answer: 2 solutions

A college is currently accepting students that are both in-state and out-of-state. They plan to accept four times as many in-state students as out-of-state, and they only have space to accept 100 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college.

x > 0 and y > 0
0 < x ≤ 100 and 0 < y ≤ 400
0 < x ≤ 100 and y > 400
0 < x and y < 100

Answers

The constraints to represent the incoming students at the college are -

0 < x ≤ 100 and 0 < y ≤ 400

What is an Inequality? What is a expression? What is a mathematical equation?An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a college is currently accepting students that are both in-state and out-of-state. They plan to accept four times as many in-state students as out-of-state, and they only have space to accept 100 out-of-state students

Now -

[x] = the number of out-of-state students

[y] = the number in-state students

y = 4x

0 < x ≤ 100

and the range of [y] will be -

0 < y ≤ (4 x 100)

0 < y ≤ 400

Therefore, the constraints to represent the incoming students at the college are -

0 < x ≤ 100 and 0 < y ≤ 400

To solve more questions on inequalities, visit the link below -brainly.com/question/1782515

#SPJ1

How do you simplify the square ro
ot of 180 and how do you know that it is in simplest form?

Answers

Step-by-step explanation:

[tex] \sqrt{180 } = 6 \sqrt{5} [/tex]

because 6² = 36 and 36×5 = 180

I don't think there's any simple way to do it

can someone help me please?

Answers

let's consider two numbers for this case, hmmm say

x = 13

y = 17

so yes, 13 < 17

also true, 13 + 2 < 17 + 2

also true that 2(13) < 2(17)

now, -13 < -17? well, not quite

reason being, the on the negative side of the number line, the closer to 0, the larger the number, for that case, -1 is much much larger than -1,000,000.

20. ASSESS REASONABLENESS Your friend says that when the pool in Exercise 19 is more than 8 feet deep, you will win the race. Is your friend's claim reasonable? Explain your reasoning. pls hurry

Answers

Answer:

Step-by-step explanation:

No because the deepness of an pool doesnt affect how fast you will swim during the race

No because the deepness of an pool doesnt affect how fast you will swim during the race.

What is the depth?

Depth refers to a type of vertical distance, where vertical distance is the difference between two vertical positions. One of the most common everyday examples of depth is its use in reference to water.

Here given that,

Your friend says that when the pool in Exercise [tex]19[/tex] is more than [tex]8[/tex] feet deep, you will win the race.

Our swimming speed will never change it does not depend on the depth of the pool.

Hence, depth of the pool does not effect the speed of swimmer.

To know more about the depth

https://brainly.com/question/14316675

#SPJ2

After washing dishes, water drips from the faucet. The graph shows the number of cups of water that drip from the faucet over time. How many gallons of water drip from the faucet in 24 hours?

Answers

The number of gallons of water that drip from the faucet in 24 hours is; 6 gallons

How to Interpret Linear Graphs?

We can see from the graph, that the x-axis represents the time in hours that the cup of water has dripped from the faucet while the y-axis represents the number of cups that has dripped from the faucet over a specific time frame.

Now, from the graph, we see the following coordinates;

(1, 4)

(2, 8)

(3, 12)

(4, 16)

Thus;

Slope = (8 - 4)/(2 - 1)

Slope = 4

Thus, the rate is 4 cups drip per hour.

1 hour = 4 cups dripping

Thus; 24 hours = (24 * 4)/1 = 96 cups

Now, conversion rate of cups to gallon is;

1 cup = 1/16 gallon

Thus;

96 cups = 96 * 1/16 = 6 gallons

Read more about Linear Graphs at; https://brainly.com/question/4025726

#SPJ1

What is the y-intercept of the graph that has a slope of 2 and goes through the point (3, 4)?

Answers

Answer:-2

Step-by-step explanation:

Step 1: Write this in slope-intercept form

y=mx+b

Step 2: Plug in the known values

m is the slope, x is the given x value, and y is the given y value

4=2(3)+b

Step 3: Solve for the y-intercept

the y-intercept is b, so all we need to do is solve for b

4=6+b

subtract 6 from both sides so that y is isolated

Answer: b=-2

The y-intercept is -2

Divide €45 between Sharon and Louise in the ratio of 4: 5.

Answers

Answer:

€20 for Sharon

€25 for Louise

Step-by-step explanation:

For a ratio of 4:5, you add 4+5 = 9.

You need 4 out of 9 parts for Sharon, and 5 out of 9 parts for Louise.

4/9 × €45 = €20 for Sharon

5/9 × €45 = €25 for Louise

Find the domain of where f(x) = x + 10 and g(x)=x².

Answers

The domain of the function f(x)=x+10 is (-∞, ∞) and for the function g(x)=x² is (-∞, ∞).

What is meant by domain?

If a formula specifies a real function f, it may not be defined for some values of the variable. The natural domain or domain of definition of f is the set of real numbers on which the formula can be evaluated to a real number in this case. A partial function is often referred to just as a function, and its natural domain is referred to simply as its domain.

Given, f(x) = x + 10

g(x)=x²

The domain for the function f(x)=x + 10

So, the domain of f(x)=x+10 is (-∞, ∞)

The domain for the function g(x)=x²

The expression's domain is only real numbers, with the exception of places where it is undefined. Because there is no real number in this scenario, the expression is undefined.

So, the domain of the function g(x)=x² is (-∞, ∞)

To know more about domain, visit:

https://brainly.com/question/28135761

#SPJ1

25 = 10x - 5
What’s the answer

Answers

Answer:

the answer would be x=3.

Step-by-step explanation:

when the x is supplemented for the 3, it comes out to 30. by then taking 5 from that, it brings the the number to 25.

Answer:

x = 3

Step-by-step explanation:

25 = 10x - 5

What’s the solution?

25 = 10x - 5

30 = 10x

x = 30 : 10

x = 3

----------------------

Check

25 = 10 x 3 - 5

25 = 30 - 5

25 = 25

the answer is good

HELP THANKS SO MUCH THANKS

Answers

Answer:

m=4

Step-by-step explanation:

3.6m=14.4

Divide both sides by 3.6

3.6m=14.4

/3.6. /3.6

m=4

hopes this helps please mark brainliest

Answer:

m = 4

Step-by-step explanation:

A number is between 41 and46. It has prime factor of 2 and 11. What is the number?

Answers

Answer:

The required number lies between 41 and 46 and has prime factors of 2, and 11 is 44.

Step-by-step explanation:

The number lies between 41 and 46 are 42, 43, 44, and 45. From the straightforward observation and according to the condition that must be divisible by 2 and 11 there is only one number that is divisible by both 2 and 11 is 44.

What is the Square root of 4x to the 10th power?

Answers

Answer:

2x^(5/2)

Step-by-step explanation:

The square root of 4x^10 is (4x^10)^1/2.

Therefore, the square root of 4x^10 is (2x^5)^1/2.

This means that the square root of 4x^10 is 2x^(5/2).

simplify the expression.
-5(2x-7) -3x

Answers

Answer: -13x+35

Hope this helps! :)

Step-by-step explanation:

-5(2x-7)-3x

(1. Distribute)

-10x+35-3x (2 negatives make a positive when multiplying and dividing)

(2. Combine like terms)

-13x+35 (Add the negatives)

Find the measure of LK:

Lk=____

Answers

Using the secant-secant theorem,

[tex](4)(6)=(3)(2x+8) \\ \\ 24=3(2x+8) \\ \\ 8=2x+8 \\ \\ 2x=0 \\ \\ x=0 \\ \\ \implies LK=2(0)+5=\boxed{5}[/tex]

Choose the polygon with vertices U(–4, –5), V(–4, 4), W(–2, 4), X(–2, 1), Y(1, 1), and Z(1, –5).

Answers

The polygon with vertices U(–4, –5), V(–4, 4), W(–2, 4), X(–2, 1), Y(1, 1), and Z(1, –5) will be ''An Irregular hexagon''.

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The vertices of the polygon are,

U(–4, –5), V(–4, 4), W(–2, 4), X(–2, 1), Y(1, 1), and Z(1, –5)

Now,

Since, The vertices of the polygon are,

⇒ U(–4, –5), V(–4, 4), W(–2, 4), X(–2, 1), Y(1, 1), and Z(1, –5)

Clearly, There are 6 vertices with irregular point.

Thus, We get;

The polygon is Irregular hexagon.

Therefore, The polygon with vertices U(–4, –5), V(–4, 4), W(–2, 4),

X(–2, 1), Y(1, 1), and Z(1, –5) will be ''An Irregular hexagon''.

Learn more about the hexagon visit:

https://brainly.com/question/1969956

#SPJ1

638 divided by 34 long division

Answers

Answer:

18 R26

Step-by-step explanation:

[tex]\ \ \ \ \ \ \,\,\, 18 \textrm{ R}26\\{34\ \overline{\smash{)}\ 638}}\\\textrm{ } \ \ \ \underline{-34}\\\textrm{ } \ \ \ \ \ \, 298\\\textrm{ } \: \, \ \ \underline{-272}\\\textrm{ } \ \ \ \ \ \ \: \, 26[/tex]

Suppose that for each foot of land along a street, the
annual tax is $12 per foot. The diagram below shows a
plot of land.
800
46 ft
28 At
A
Street
Approximately, how much is the annual tax for the plot?

Answers

The annual tax for the plot based on the triangle and the side lengths is $1488

How to determine how much is the annual tax for the plot?

From the question, we have the following parameters that can be used in our computation:

Annual tax per foot = $12

Shape of the land = Triangle

Parameters of the triangle are represented as

Angle between sides = 80 degrees

Sides = 46 ft and 28 ft

The side represented as "Street" is calculated as

Street = The square root of Sum of the squares of the other sides - 2 * the product of the other sides * the cosine of the angle between them

Mathematically, this is represented as

Street = √46² + 28² - 2 * 46 * 28 * cos(80)

Evaluate

Street = 50

So, the perimeter of the land is

Perimeter = 50 + 46 + 28

Perimeter = 124 foot

Recall that:

Annual tax per foot = $12

So, we have

Yearly annual tax per foot = $12 * 124

Evaluate

Yearly annual tax per foot = $1488

Hence, the yearly annual tax per foot = $1488

Answers

The lines passing through points A (- 3, 10) and (1, 2) , B (- 1, 6) and (0, 2) , and C (1, 2) and (3, 4) has positive y-intercept.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

As we know, the slope formula is:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

A (- 3, 10) and (1, 2)

m = (2-10)/(1+3)

m = -8/4 = -2

y = mx + c

y = -2x + c

Plug (- 3, 10)

10 = -2(-3) + c

c = 10 - 6 = 4 (positive y-intercept)

Similarly, for the other points:

B (- 1, 6) and (0, 2)

y = -4x + 2 (positive y-intercept)

C (1, 2) and (3, 4)

y = x + 1 (positive y-intercept)

D (0, - 4) and (3, - 2)

y = 0.667x - 4 (negative y-intercept)

E (3, 1) and (5, 2)

y = 0.5x -0.5 (negative y-intercept)

Thus, the lines passing through points A (- 3, 10) and (1, 2) , B (- 1, 6) and (0, 2) , and C (1, 2) and (3, 4) has positive y-intercept.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

A catering company mixes taco seasoning and sour cream to make a vegetable dip. The table shows the amount of taco seasoning for various amounts of sour cream

Answers

Here is the completed table:

Taco 3 9 13.5

Sour cream 2 6 9

The amount of taco seasoning that is needed to make 15 cups of sour cream is 22.50 teaspoons.

What is the ratio of taco to sour cream?

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).

Given the information in the table, the amount of taco seasoning needed for 1 cup of sour cream is 2/3.

The amount of sour cream needed for 1 teaspoon of taco seasoning is 3/2.

The teaspoon of taco seasoning needed for 9 cups of sour cream : 3/2 x 9 = 13.5 teaspoons

Cups of sour cream needed for 9 teaspoons of taco seasoning : 2/3 x 9 = 6 cups

The teaspoon of taco seasoning needed for 15 cups of sour cream : 3/2 x 15 = 22.50

To learn more about ratios, please check: https://brainly.com/question/25927869

#SPJ1

If XY=16, XZ=14, JQ=6, and the radius of the circumscribed circle of triangle XYZ is 10, find QK

Answers

Check the picture below.

f(x) = 2x³ + 6x² - 5x - 3
H
g(x) = 3x - 4
Find (f - g)(x).
A. (f - g)(x) = 2x³ + 6x² − 8x +1
B. (f- g)(x) = 2x³ + 6x² - 2x + 1
O c. (f-g)(x) = 2x³ + 6x² − 2x - 7
OD. (f- g)(x) = 2x³ + 6x² − 8x - 7
-

Answers

Answers C I took it

Marc earns $3,300 per month in gross income. He withholds 28%
of his paycheck in taxes and deductions. What is his monthly net
pay?

Answers

Answer:

$2376

Step-by-step explanation:

Money Marc withholds from his gross income in taxes and deductions: We can do this by multiplying his gross income by the withholding rate of 28%, which gives us 0.28 * $3,300 = $<<0.28*3300=924>>924.

Next, we need to subtract this amount from Marc's gross income to find his net pay. This gives us $3,300 - $924 = $<<3300-924=2376>>2376. Therefore, Marc's monthly net pay is $2376.

A container hold 27 ounces of ice cream.how many 4 1/3 ounce servings is that

Answers

Answer:

Your answer is 6.23

Step-by-step explanation:

(attached)

what is 6/7 closest to 0,1 or 1/2?

Answers

Answer:

Step-by-step explanation:

Because 0 is nothing 1 is equal to 7/7 and 1/2 is equal to 3.5/7 so 7/7 is closer to 6/7

9 divided by 5830 using partial quotients

Answers

Answer: 9 ÷ 5830 = 0 with remainder 9 ( 0 R 9 )

G
E (17x-7)
19°
K
H
I
27°
D
K is the incenter of triangle DEF.
What is the value of x?

Answers

x=1000000000000000000000000000000000000000000000000000000000000000000000000000000

000000000000000000000000000000000000000000000000000000000000000000000000000000

0000000000000000000000000000

Find the missing angle:

RPQ:________

Answers

The missing angle RPQ between the intersected chord is 115 degrees.

How to find the angle between intersected chord?

The intersecting chords theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Therefore,

∠RPQ = 1 / 2 (arc angle RQ + arc angle SA)

arc angle RQ = 175 degrees

arc angle SA = 55 degrees

Hence,

∠RPQ = 1 / 2 (175 + 55)

∠RPQ = 1 / 2 (230)

∠RPQ = 115 degrees.

learn more on circle theorem here: https://brainly.com/question/19906313

#SPJ1

100-44+891-812+56/ 1/2

Answers

Answer:

93.5

Step-by-step explanation:

Other Questions

A la familia le encanta jugar ________ juegos de mesa cuando tienen celebraciones. The first half of your assignment is to turn your argumentative research essay from Lesson 2 into a speech. The second half of the assignment is to provide a works-cited page that lists all your sources. You will also need to go back over the parenthetical citations in your essay so that sources match up with the entries on your works-cited page.To prepare your speech, you must boil down your essay into an outline. Your outline can appear on sheets of paper, note cards, or some other medium. You'll then present your information out loud to your classmates, using visual aids to help them understand your argument and get them interested. The visual aids can be the same ones that appeared in your essay, or you can use new ones. message me and we will have some fun 6 DIVIDED BY 3/5 WROTE IN SIMPLEST FORM every week, greg spends at least three times the number of hours traveling to work as he does being at work. if greg is at work for 10 hours a week, how much time does he spend traveling to work each week? question 12 options: a) at least 30 hours b) at least 16 hours c) at least 22 hours d) at least 25 hours an employee earned $46,400 during the year working for an employer when the maximum limit for social security was $137,700. the federal insurance contributions act (fica) tax rate for social security is 6.2% and the federal insurance contributions act (fica) tax rate for medicare is 1.45%. the employee's annual federal insurance contributions act (fica) taxes amount is: Directions; 5 paragraphs11. In the story "Monarch Migration Celebration," Nana is an important character. Analyze how Nana'scharacter impacts the plot. Write a well-organized response using specific evidence from the storyto support your answer. Which of the following best reduces atmospheric distortion?adaptive optics when providing care to clients who have different cultural beliefs than that of the nurse, what factors should the nurse consider in order to ensure that the client receives culturally congruent care? provide 3 or 4 examples and discuss why those factors are important to providing culturally congruent care. 2 if schachter and singer's had run another study in which the same procedure was used but the confederate acted as if he or she was romantically attracted to the participant, what would schachter and singer have predicted? PLSSSSSS HELPPPPPPP PLS IM TIMEDDDDSelect the correct answer.Jerome wants his seventh-grade students to work in teams to create a 3D model of the solar system. Which learning styles is he utilizing? A. audio and physical B. logical and spatial C. social and visual D. audio and social An old version of stellar evolution, popular at the beginning of the twentieth century, maintained that stars begin their lives as large, cool spheres of gas, like the giant stars on the H-R diagram. They then contract and heat up under the pull of their own gravity to become hot, bright blue O stars. For the remainder of their lives they lose energy, becoming dimmer and redder with age. As they slowly move down the main sequence, they eventually end up as cool, dim red M stars. Explain how observations of stellar clusters, plotted on the H-R diagram, contradict this idea. even if a treatment has no effect, it is still possible to obtain an extreme sample mean that is very different from the population mean. what outcome is likely if this happens? geomerty help please are egalitarian policies gendered? do women benefit more from egalitarian policies that reduce disparities in income? why? Point A in the graph below is reflected through the line Y-X.What are the coordinatesof Point A', the image of Point A? a nurse convinces a client who is a jehovah's witness that receiving blood products is more important than the legalistic components of religion. what client reaction may be expected following this mandated change? A____is a permanent concentration of a relatively large number of people who are engaged in mainly non-farming activities. the nurse is monitoring an infant who was born at 0515 hrs. at 1315 hrs, the same day, the nurse determines the infant is starting to show yellowish staining on the head and face. which action should the lpn prioritize? consider the college admissions process. which of the following are examples of signaling? instructions: in order to receive full credit, you must make a selection for each option. for correct answer(s), click the option once to place a check mark. for incorrect answer(s), click the option twice to empty the box. check all that apply 1 an applicant visits the college campus before deciding whether to attend college there. the admissions committee checks an applicant's high school grades and test scores for minimum standards.