What is the solution set for the equation |2y+3 | +2 = 15?

Answers

Answer 1

Answer:

y=5,-8

Step-by-step explanation:

Answer 2

Answer: hope this helps ♡

y = 5,   y = -8

Step-by-step explanation:

∣2y + 3∣ + 2 = 15

∣2y + 3∣ + 2 - 2 = 15 - 2

∣2y + 3∣ = 13,   ∣2y + 3∣ = -13

∣2y + 3 - 3∣ = 13 -3,   ∣2y + 3 - 3∣ = -13 - 3

2y = 10,   2y = -16

y = 5,   y = -8


Related Questions

An item on sale costs 45% of the original price. The original price was $39.
Use the ALEKS calculator to find the sale price.
$0
X
S

Answers

The sales price of the item is $17.55

How to determine the sales price

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

Sales price = 45% of the original price

The original price = $39

The above parameters mean that

Sales price = 45% * original price

Substitute the known values in the above equation, so, we have the following representation

Sales price = 45% * $39

Evaluate

Sales price = $17.55

Hence, the sales price is $17.55

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Mr. Reynolds is a car salesman. He makes a salary of $55,000 a year. He
also earns a commission of of his total sales for the year. This year, Mr.
Reynolds has a sales total of $295,200. Write and evaluate a function to find
Mr. Reynolds's total earnings for the year.

Answers

Answer:you speak French pls

Step-by-step explanation:

:::

After a reflection of the figure, the image vertices are A'(5, 1), B'(3, –1), and C'(7, –1). What is the line of reflection?




After a reflection of the figure, the image vertices are A'(5, 1), B'(3, –1), and C'(7, –1). What is the line of reflection?




y = 2x

y = –x

x = 2


y = 2

Answers

Line of reflection for the image vertices are A'(5, 1), B'(3, –1), and C'(7, –1) will be x = 2..

What is mean by Reflection?
Reflection is the process of taking the time to think deeply about the experiences, events, and choices that shape our lives. Reflection allows us to consider how our views and opinions have changed over time, and to take stock of our successes and failures. Reflection can also help us understand our personal values and beliefs and how we can use them to make more informed decisions in the future. Reflection involves looking inward and assessing our thoughts and feelings, as well as looking outward and considering our interactions with the world around us. Taking time for reflection can help us gain insight into our behaviors and motivations, as well as identify areas of our lives that need improvement. It can also help us stay mindful of our goals and stay on the path to achieving them. Reflection is an important part of personal growth and development, and can be a valuable tool for gaining self-awareness and increasing our emotional intelligence.

Given that;
After a reflection of the figure,
The image vertices are A'(5, 1), B'(3, –1), and C'(7, –1).
And, In the figure;
The vertices are A(-1, 1), B'(1, –1), and C'(-3, –1).
Now, When we take the reflection about the line x = 2.
Then, we get the image vertices are A'(5, 1), B'(3, –1), and C'(7, –1) of the vertices A(-1, 1), B'(1, –1), and C'(-3, –1).
Therefore, Line of reflection for the image vertices are A'(5, 1), B'(3, –1), and C'(7, –1) will be x = 2.

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y = 1/4x+1 y =1/4x-1
How many solutions does this system
of equations have?

Answers

Answer:

3

Step-by-step explanation:

3 because you have to find x, you have to find x and y and then the overall answer

The given system of equations,

y = 1/4 x + 1

y = 1/4 x - 1

has no solution.

Given a system of equations.

There are two equations in the system.

We have to find the number of solutions for the system if it exists.

Consider the equations,

y = 1/4 x + 1

y = 1/4 x - 1

Since both the equations are in y value, they are equal.

1/4 x + 1 = 1/4 x - 1

1/4 x - 1/4 x = -1 - 1

0 = -2

This is not possible.

This means that the given system has no solution.

Hence the given system of equations has no solution.

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Find the measure of each angle indicated.

Answers

Answer:

answer is 124 degree ....

What are the domain and range of the function f(x)= x^2-3x-28/x+4?

Answers

The domain will be D:{x ∈ R| x ≠ 4} and the range will be R:{y ∈ R| y ≠ 11}. Then the correct option is A.

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

The function is given below.

f(x) = (x² - 3x - 28) / (x + 4)

Simplify the function, then we have

f(x) = (x² - 7x + 4x - 28) / (x + 4)

f(x) = [x(x - 7) + 4(x - 7)] / (x + 4)

f(x) = [(x + 4)(x - 7)] / (x + 4)

f(x) = x - 7

The Domain of the function is all real numbers except 4. And the range of the function is all real numbers except 11.

The domain will be D:{x ∈ R| x ≠ 4} and the range will be R:{y ∈ R| y ≠ 11}. Then the correct option is A.

The diagram is given below.

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Need some help with this! ​

Answers

Answer:

4 liters

Step-by-step explanation:

We need to first figure out what the proportional value is.

(Y ×? = X)

10(Y) × 2.5 = 25 (X)

If the capacity of X is equivalent to 10 liters, then we need to use the same proportional value to get the number of liters for Y.

10 ÷ 2.5 = 4

Trough Y can contain 4 liters

How many gallons of rocket fuel containing 80% liquid oxygen must be mixed with 250 gallons containing 40% liquid oxygen to produce a mixture containing 70% oxygen? PLSSSS EXPLAIN!!!!

Answers

750 gallon of fuel at 80% to mix with the 250 gallon at 40% in order to get a mixture at 70% liquid oxygen.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity

We need to find how many gallons of 80%

8x, since we don't know how many gallons

mixed with 250 gall of 40%: 0.40(250)

and we want a mix at 70%. The mix will include the 0.8x and the 0.4(250) Like this:

8x+0.4(250)=0.7x+0.7*250

Multiply on both sides of the equation

0.8x+100= 0.7x+175 Subtract 100 on both sides

0.8x= 0.7x+75

Subtract 0.7 on both sides

0.1x= 75

Divide both sides by 0.1

x= 750

You need 750 gallon of fuel at 80% to mix with the 250 gallon at 40% in order to get a mixture at 70% liquid oxygen.

Hence,  750 gallon of fuel at 80% to mix with the 250 gallon at 40% in order to get a mixture at 70% liquid oxygen.

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The Morgan family and the Collins family each used their sprinklers last summer. The Morgan family's sprinkler was used for 35 hours. The Collins family's sprinkler was used for 40 hours. There was a combined total output of 1725 L of water. What was the water output rate for each sprinkler if the sum of the two rates was 45 L per hour?

Answers

Answer:

you have to multiply 45^2  

2025

A city is building a fence around a rectangular playground. If the perimeter of the playground is 90 feet and the length of one side of the fence is 26 feet, what is the width of the playground?.

Answers

We can conclude that the width of the rectangular ground is 19ft.

What is a rectangle?

A quadrilateral with all of its angles equal, or right angles, is a rectangle.

In addition to having all equal angles, a square also has all equal sides. Therefore, a special case of a square is a rectangle.

To put it another way, a rectangle can also be a square.

So, we know that:

The perimeter of the rectangular ground is 90ft.

The length of the rectangular ground is 26ft.

Now, the width will be:

Perimeter of rectangle formula: P =  2(l+w)

Now, put the values and substitute as follows:

P =  2(l+w)

90 =  2(26+w)

90 = 52 + 2w

2w = 90 - 52

2w = 38

w = 38/2

w = 19ft

Therefore, we can conclude that the width of the rectangular ground is 19ft.

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not allowed
a) Find the mode shown below.
15, 8, 21, 2, 12, 22, 19, 8, 19, 8

Answers

Answer:8

Step-by-step explanation: Mode is the value or values in the data set that occurs most frequently.

a rhombus has sides of length 51 units each and a shorter diagonal of length 48 units. what is the length, in units, of the longer diagonal?

Answers

The length of the longer diagonal of the given rhombus with side length 51units and shorter diagonal 48 units is equal to 90units.

As given in the question,

Side length of the given rhombus 's' = 51 units

Length of the shorter diagonal of given rhombus 'a' = 48 units

Let us consider length of the longer diagonal of the given rhombus be 'b'

As per the property of the rhombus:

Diagonals of the rhombus bisects each other at right angle

Triangle formed by side length bisecting diagonals is right angled triangle.

Using Pythagoras theorem we have,

(Side length)² = (a/2)² + (b/2)²

Substitute the values

⇒ (51)² = (48/2)² + (b/2)²

⇒2601 = 576 + (b/2)²

⇒(b/2)² = 2601 -576

⇒(b/2)² = 2025

⇒b/2 = √2025

⇒ b/2 =45

⇒ b = 90units

Therefore, the length of the longer diagonal of the given rhombus is equal to 90units.

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Suppose a sightseeing tour company charges $7.50 for each hour you rent a motorized scooter, plus a non-refundable fee of $45. Write an equation that represents the total cost, y, of renting the scooter in relation to the number of hours, x.

Answers

An equation that plots the total cost, y, of renting the scooter against the duration, x is  y=7.50x+45

What is meant by an equation?

3x - 5 = 16 is an illustration of an equation. By solving for x, we discover that the variable's value is 7, or x = 7. By deleting parenthesis and merging related terms, you can simplify either side of an equation and obtain the solution. Together with the variables for which the equation must be solved, the values of the variables that must satisfy the equality to compose the answer are referred to as the unknowns. Equations can be categorized as identities or conditional equations. An identity holds true regardless of the value given to the variables. A conditional equation's variables can only have specific values that produce the truth.

Given,

You must pay a non-refundable $45, plus $7.50 per hour, to rent a motorized scooter from a sightseeing tour company.

The equation is y=7.50x+45

Therefore, a formula that plots the total cost, y, of renting the scooter against the duration, x is  y=7.50x+45.

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Which relation is not a function?

Answers

Answer: C, the table.

Step-by-step explanation:

       In a function, there can only be one output (y) per input (x), but you can have multiple inputs (x) per one output (y).

       Using this logic, we see that the answer is;

                 C

Write the following expression using an exponent. (2y-9) (2y-9) (2y-9) (2y-9) (2y-9)

Answers

For the given expression the exponent would be  [tex](2y-9)^5$[/tex].

What is an exponent?

An exponent is a number that indicates how many times a base number should be multiplied by itself. For example, in the expression 2³, the base is 2 and the exponent is 3. The exponent indicates that the base should be multiplied by itself 3 times, so the value of the expression is 2 * 2 * 2 = 8.

The given expression is

= (2y-9) (2y-9) (2y-9) (2y-9) (2y-9)

Exponent expression = [tex](2y-9)^5$[/tex]

Hence, for the given expression the exponent would be  [tex](2y-9)^5$[/tex].

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For the given expression the exponent would be  (2y-9)⁵.

What is an exponent?

An exponent is a number that indicates how many times a base number should be multiplied by itself. For example, in the expression 2³, the base is 2 and the exponent is 3. The exponent indicates that the base should be multiplied by itself 3 times, so the value of the expression is 2 * 2 * 2 = 8.

The given expression is

= (2y-9) (2y-9) (2y-9) (2y-9) (2y-9)

Exponent expression = (2y-9)⁵

Hence, for the given expression the exponent would be  (2y-9)⁵.

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If a researcher wants to use a control group whose participants receive a placebo pill as well as an experimental group whose participants receive a new treatment medication, which type of statistical test is most appropriate for analyzing the results and why?.

Answers

The t-test is appropriate because it can handle small sample sizes and is robust to violations of normality assumptions.

What are Statistical Tests?

Mathematical statistical tests are techniques for data analysis and drawing conclusions about a population from a sample. These tests employ mathematical formulae and probability theory to assess if a participant's result is statistically significant, implying that it is unlikely to have happened by chance. Comparing two or more groups, figuring out how variables relate to one another, and assessing the accuracy and validity of data may all be done using statistical tests. They are frequently used to derive inferences from experimental or observational data in disciplines including psychology, economics, and sociology.The outcomes of these tests are used to determine whether to accept or reject a hypothesis and can offer important insights into the underlying patterns and relationships in data.

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How might you use a perpendicular bisector or an angle bisector in your everyday life?


And why would an orthocenter be the most difficult part of a triangle for someone to identify and use?

Answers

You use a perpendicular bisector or an angle bisector in your everyday life and orthocenter be the most difficult part of a triangle.

Everyday life example :

On a clock, the second hand in the middle of the hour hand and minute hand, is working as the angle bisector.

For a perpendicular bisectors, take two ends of a compass needle, with the long end on the North, the short end is pointing South, and the lines of East and West are on the left and right.

Orthocenter :

The orthocenter is the point of intersection of the three altitudes of a triangle. It is the hardest part of the triangle to find because :

It can lie inside a triangle or outside the triangle as it depends on the type of type of the triangle whether it is acute or obtuse. So, in order to identify it we must first know the type of the triangle.

And secondly, the formula for finding orthocenter is quite complicated so it is the hardest part of the triangle to identify and use.

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help asappppp i dont understand graphs

Answers

The function that is represented by the graph is defined as follows:

A. f(x) = (x - 1)(x + 2)(x + 4).

How to obtain the function represented by the graph?

The function represented by the graph is obtained using the Factor Theorem, as we can identify the roots of the function from the graph.

The Factor Theorem states that the function can be declared according to it's linear factors, as follows:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which:

a is the leading coefficient of the polynomial.[tex]x_1, x_2, \cdots, x_n[/tex] are the roots of the polynomial.

From the graph given in this problem, the roots of the polynomial are listed as follows:

-4, -2 and 1.

Hence the function can be defined as follows:

f(x) = (x - 1)(x + 2)(x + 4).

Considering a leading coefficient of 1, option A is correct.

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help me pleaseeeeeeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!

Answers

Answer:

5% of $1100 = 55

Year given = 7

So, 55 × 7 = 385

She would get after 7 years all total  = (1100 + 385) = $1485


Evan saved $30 on a new TV. If the percent of discount was 20%, how much money did the
TV originally cost?

Answers

Answer:

$150

Step-by-step explanation:

we can make a ratio

20/100=30/x

cross multiple

20x=30(100)

20x=3,000

/20     /20

x=150 hopes this helps

Consider the following points on the graphs of y = sin(x) and y = sin(2x), with the added vertical dashed lines:
What are c and d in that order?

Answers

From the given graphs the values of c and d are, c = 0.53,

d = 0.95.

What is sinusoidal wave?

A mathematical curve defined in terms of the sine trigonometric function, of which it is the graph, is known as a sine wave, sinusoidal wave, or simply sinusoid. It is a smooth periodic function and a particular kind of continuous wave.

Let the graphs of y = sin(x) and y =sin(2x) are given.

From this graphs we have to find the value of c and d.

First from y = sin(x) to find the value of 'a'.

consider the point [tex](a, -\frac{4}{5})[/tex]

[tex]sin(a) = -\frac{4}{5} \\a = sin^-^1(-\frac{4}{5})\\ a = -53.13[/tex]

Now to find the value of 'c'.

Plug   a = -53.13  in y = sin(2x)

[tex]sin(2a) = c\\sin(2(-53.13)) = 0.52622\\sin2a= 0.53[/tex]

Hence, the value of 'c' is c = 0.53.

Now to find the value of d.

First y = sin(x) to find the value of b.

Consider, the point [tex](b, \frac{5}{13})[/tex]

[tex]sinb = \frac{5}{13} \\b = sin^-^1(\frac{5}{13})\\ b = 22.62[/tex]

Now to find value of d.

Plug b = 22.62 in y = sin(2x)

[tex]sin(2b) = d\\sin(2(22.62)) = 0.95138\\sin(2b) = 0.95[/tex]

So, the value of 'd' is 'd = 0.95'.

Hence, from the given graphs the values of c and d are, c = 0.53,

d = 0.95.

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Choose the system of inequalities that best matches the graph below.
y
5
4
3
KE
-6-5-4-3-2-1 01 23 4 5 6
-1
IN
03
3
S
X

Answers

The inequalities that represent the line in the graph will be y < x - 3 and y = -(2/3)x. Then the correct option is B.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

From the graph, the blue line has a slope of 1 and the y-intercept is at (0, -3), then the inequality is calculated as,

y < x - 3

The red line is passing through the origin and (3, -2), then the equation is given as,

y - 0 = [(-2 - 0) / (3 - 0)](x - 0)

y = -(2/3)x

The disparities that address the line in the chart will be y < x - 3 and y = - (2/3)x. Then the right choice is B.

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In which choice is y a function of x?
A (-2, 3), (0, 2), (-1, 1), (0, 0)
B. (4, 1), (1, 4), (-4, 1), (1, 4)
C. (4, 1), (4, 2), (4,3), (4,4)
D. (0, 2), (1, 1), (3, 0), (0, -2)

Answers

Answer:

B. (4, 1), (1, 4), (-4, 1), (1, 4)

Step-by-step explanation:

A mixed number is a number consisting of a whole number and a proper fraction.

It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 4 = 4. In the following intermediate step, it cannot further simplify the fraction result by canceling. In other words - four minus one quarter is fifteen quarters.

Hello factor the polynomial completely with steps please

Answers

The factor form of the cubic equation y = x³ + 3 · x² + x + 3 is y = (x² + 1) · (x + 3).

How to factor a cubic equation

In this problem we find a cubic equation, that is, a polynomial of the form:

y = a · x³ + b · x² + c · x + d

Where a, b, c, d are the real coefficients of the polynomial. Herein we must use algebra properties to find the factor form of the expression:

y = a · Π (x - rₙ) for n = {1, 2, 3, ..., m - 1, m}

Where:

a - Lead coefficient.m - Grade of the polynomial.

First, write the entire equation:

y = x³ + 3 · x² + x + 3

Second, use distributive property of real mumbers:

y = x² · (x + 3) + 1 · (x + 3)

Third, use distributive property of real numbers once again:

y = (x² + 1) · (x + 3)

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seasonality causes comparability problems in ratio analysis. a common solution is to use an average account balance as opposed to an ending account balance. t or f

Answers

The given statement is true.

Seasonal inventory or revenue fluctuations that are not based on sales can artificially inflate or deflate the value of the company's assets.

What is Seasonal inventory ?

Products with a seasonal inventory are those that sell more frequently at particular times of the year. Weather, events, and holidays can affect how much demand there is for these products.

Holiday merchandise was probably your first thought when thinking about seasonal inventory. Labor Day weekend, Halloween, and Christmas are a few examples of holiday inventory. Every one of them sells particular goods that people only purchase around the holidays.

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Solve each system by elimination: 2x+y=5 3x-2y=4

Answers

Answer: 2x+y +5 we know that because if u get 2x+y    we do 2xxy and get 2xy

Step-by-step explanation:

What is 1+1

A. 2
B. 3
C. -24,000
D. Some ridiculous number

Answers

Answer:

a

Step-by-step explanation:

ik my math

one year, the population of a city was 359,000. several years later it was 420,030. find the percent increase.

Answers

Answer:

17%

Step-by-step explanation:

Which one doesn't belong?
1. 5 + 7 = 7 + 5
2. 5 * 7 = 7 * 5
3. 2 = 7 - 5
4. 5 - 7 = 7 - 5
Write a post sharing which equation you think doesn't belong and why.

Answers

Answer:

3 does not belong because its not long enough

Order these numbers from least to greatest: 0, 1,
1
2
8
610
9
49
100
11
20
1
13

Answers

Answer:

100

Step-by-step explanation:

I did the test

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Doug Graves Cemetery had 50,000 shares of common stock issued and outstanding at January 1, 2021. During 2021, Graves took the following actions: June 1 Declared a 2-for-1 stock split, when the fair value of the stock was $25 per share. October 15 Declared a $0.40 per share cash dividend. In Graves's statement of shareholders' equity for 2021, what amount should Graves report as dividends? Multiple Choice O $90,000 O $20,000 O $60,000 O $40,000 which of the following cctv types would you use in areas with little or no light? answer a camera with a high lux rating ptz c-mount infrared Can someone help, please Consider the equations and graph below.y = negative 3 (x minus 1). 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However, the spheres may be launched at speed v0 or 2v0.Question: In a clear response that may also contain diagrams and/or equations, describe which speed, v0 or 2v0, the students should launch the sphere at so that they earn the maximum number of points in the competition. Assign sub_lyric by slicing rhyme-lyric from start_index to end_index which are given as inputs. Sample output with inputs: 47 COW 1 start_index - int(input) 2 end_index - int(input) 3 rhyme_lyric - "The cow jumped over the moon.' 4 sub_lyric - rhyme_lyric Your solution goes here we 5 print(sub_lyric) terry has 30 piecies of gum and guves 2 peaices to each of his friends. identify the independednt and dependednt variables. write a rule in functionnotation for each situation In order to verify the 48 hour forecast from a model that is run on April 1 at 1200 UTC you would need to compare observations at what time? Which of the following actions is unlikely to help make a company's branded footwear more competitive vis-a-vis the brands of rival firms? A) Increasing worker compensation to levels above the industry average in every geographic region where it has a production facility B) Increasing brand advertising expenditures in two or more geographic regions Increasing the company's mail-in rebate offer from $3 to $5 C) Boosting the number of models/styles available to buyers from 250 to 350 D) Reducing the prices the company charges for its branded footwear in both the Internet and Wholesale segments please help? i dont understand im new to the class and need a lot of help Which of the following is not a queue discipline discussed in the textbook?O First come, first servedO Last in, first outO Limited needsO Shortest processing timeO Best customer first which factor(s) are hypothesized as the causes of the triassic-jurassic mass extinction? check all that apply. Question 3 (10 marks). The concentration of antibiotic in the bloodstream t hours afterbeing injected is given by the functionC(t) = [tex]\frac{2t^{2} + t }{t^{3} + 50}[/tex]where C is measured in milligrams per liter of blood.a. Find the rate of change of C(t).b. Determine the rate of change for t = 8, 12, 24, and 36.c. Briefly describe what seems to be occurring as the number of hours increases. what happens to the mean for a trait in a population during directional selection what is being selected for?