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
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 "< "
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Related Questions
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
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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
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:
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
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
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The lines passing through which pairs of points have a positive y-intercept? Select all that apply. A (- 3, 10) and (1, 2) B (- 1, 6) and (0, 2) C (1, 2) and (3, 4) D (0, - 4) and (3, - 2) E (3, 1) and (5, 2)
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.
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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?
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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 (-∞, ∞)
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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''.
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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)
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.
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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.
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.
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)
100-44+891-812+56/ 1/2
Answers
Answer:
93.5
Step-by-step explanation:
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
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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]
what is 6/7 closest to 0,1 or 1/2?
Answers
Answer:
1
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
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.
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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
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
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).
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
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 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
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.
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]
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
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