Three times the sum of x and 7 is 27. What is x?

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

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:

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

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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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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Answer: 27

Step-by-step explanation: 46 22 46 49 45 39 40 42 41 39 40 36

The range is calculated by subtracting the lowest value from the highest value.

So the lowest number is 22 and the highest is 49.

Then we subtract 22 from 49 to find the range.

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.

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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Answer:

a

Step-by-step explanation:

ik my math

The zeros of the polynomial function should be between

The zeros of a polynomial function is the  point where the polynomial crosses the x axis

At this point, the y axis has a value of zero. This point can be seen on the graph easily as the graph will show the x intercept,

For the table, examining the values of the y coordinate to see where the signs change will help to know where the zero will lie.

The table shows that the y values changed sign at  1.1 to -0.8 and -0.3 to 0.7 and hence the zeros will lie between (2.5, 1.1) & (3.0 -0.8) and (4.0, -0.3) & (4.5, 0.7)

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

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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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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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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Answer:

The number 3 represents the fixed cost in the equation which is the flat charge.

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

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

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 probability of losing 10 to 20 suitcase between a week is 0.8313 by the airline company.

Given what we know,

μ = 15. 5 and σ = 3. 6

Additionally, the weekly distribution of missing baggage along a particular route is roughly average.

z =( x - μ ) / σ

Therefore,

z(20) = (20-15.5)/3.6

= 1.25

P(x < 20)

= P(z < 1.25)

= 0.8944

Therefore, the probability that during a given week the airline will lose between 10 and 20 suitcases = 0.8313

The ratio of good outcomes to all possible outcomes of an event is known as the probability.

The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results

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Answer:

3 does not belong because its not long enough

Answer: (5,6)

Step-by-step explanation: 5 units right is adding 5 to your X. 5 units up is adding 5 to your Y.

For left and down, you'd subtract 5. For instance, "What is the image point of (8,9) after a translation of 5 units left, and 5 units down. The answer would be (3,4)

The largest number of cubes that can be placed in the rectangular box is 42

The problem is solved by solving for the volume of the rectangular box and dividing by the given size of cube

The formula for the volume of rectangular box is given by

= length  * width  * height

= 40 * 35 * 30

= 42000 cm³

A cube of length 10 cm has a volume of 1000

= 10 * 10 * 10 = 1000

the largest number of  cubes of length 10 cm that can be placed inside the box.

= 42000 / 1000

= 42

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Answer:

answer is 124 degree ....

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

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

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:

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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The sales price of the item is $17.55

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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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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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

Answer:

you have to multiply 45^2  

2025

Answer: 14200%

Step-by-step explanation:

To convert 142 to percent multiply 142 by 100. The result is 14200 percent, or, using the percent sign, 14200 %.

Put simply, to change 142 to % move the ″.″ two places to the right.

Check out the next plus one section on how to express 142 as a percent. And, in case you have a number different from 142, then use our decimal to percent calculator above.

If our calculator has been of help to you make sure to bookmark it now. Besides 142 into percent, it can convert any decimal to percent and vice versa.

What is 142 as a Percent?

You already know the answer to what is 142 as a percent. Ninety-one as a percent is 14200%.

If you have been looking for 142 as %, 142 in %, 142 in percentage or what is 142 as a percentage then you have also found what you have been looking for.

Note that you can find many decimal to percent conversions, including 142 in percentage, by using the search form in the sidebar.

Enter, for instance, 142 to percents.

BTW: Similar conversions include, for example:

147 as a percent

148 as a percent

149 as a percent

Next we explain how do you write 142 as a percent.

Write 142 as a Percent

To write 142 as a percent multiply 142 by 100 to obtain 14200. Then append the percent sign (%). To learn about the spacing check out the reference section of decimal to percent.

In a table and in texts with space restrictions you write 14200%, whereas in a running text, like this one, you write it spelled out as 14200 percent in American English, and 14200 per cent else.

Particularly in the UK, the abbreviations pc, pct., and pct are also used sometimes, e.g. 14200pc.

These days, the old forms 14200 per centum and per cent followed by a period, 14200 per cent., are hardly seen anymore and can be considered obsolete in daily life.

There is no difference in meaning between the two-word per cent and percent. Choosing between 14200 per cent and 14200 percent is merely a matter of preference.

142 as a Percentage

142 as a percentage of certain number x can be calculated by dividing 142 by x, and multiplying the result by 100. For example, 142 as a percentage of 10 = (142 / 10) x 100% = 1420%.

Feel free to use our decimals to percents calculator below. Enter 142 in the number field, then insert your value in the field labelled “% of”.

To start over, press reset first.

At this stage the 142 in percent conversion will be conducted automatically. Observe that the result is rounded to ten decimal places.

[tex]142/100[/tex] can be written as [tex]142[/tex][tex]%[/tex]%.

The Latin word "per centum," which means "by the hundred," was the source of the English word "percentage." Fractions with a denominator [tex]100[/tex] are called percentages.

A percentage is a certain number or part of every hundred. It is a fraction with a denominator [tex]100[/tex], and the symbol for it is "%."

Finding the percentage of a whole in terms of [tex]100[/tex] is what percentage calculation refers to.

There is no dimension to percentages. As a result, it is known as a dimensionless number.

A fraction or a decimal can also be used to represent a percentage.

Therefore, the answer is [tex]142[/tex]%.

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The correct question is :

How do you write 142/100 as a percentage?

Answer:8

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

Answer:you speak French pls

Step-by-step explanation:

:::

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

Step-by-step explanation:

Answer: 1200 percent increase

Step-by-step explanation:

Increase = New Number - Original Number

divide the increase by the original number and times 100

3.25-0.25=3

3/0.25=12*100

1200 percent

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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