Write an equation representing the fact that the product of two consecutive odd integers is 255. use x to represent the smaller integer.

Answers

Answer 1

The first odd number = 15

The second is then = 17

The Consecutive numbers are:

Consecutive numbers are those that appear consecutively after one another in the range of smallest to largest. An illustration would be the sequence of numbers 1, 2, 3, 4, 5, and so on.

Where can I find consecutive numbers?

Let x be the first of the following numbers to represent it algebraically. Following that, the numbers x + 1, x + 2, and x + 3 would be arranged in order. You must make sure that your first selection is an even number if the question requires consecutive even numbers.

According to the given information:

We can employ the expression "2n," where n is any integer, to ensure that the result is even. By using the expression "2n + 1," we can ensure an odd number.

"2n + 3" will be the following odd number:

(2n + 1)(2n + 3) is the component of the odd integers, and it equals 255:

(2n + 1)(2n + 3) = 255

4n2 + 8n + 3 = 255

4n2 + 8n - 252 = 0

n2 + 2n - 63 = 0

(n + 9)(n -7) = 0

n = -9 and n = 7

We can disregard n = -9 because we are informed that the figures must be positive.

If n = 7,

The first odd number = 2(7) + 1 = 15

The second is then 17

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I understand that the question you are looking for is:

The product of 2 positive, consecutive odd numbers is 255 .

Part A: Write a quadratic equation in standard form to represent this problem

Part B: What are the 2 numbers?

Part C: Show your work for Part B.


Related Questions

What is substitution Short answer?

Answers

Substitution is the name of the process in algebra which is used for swapping an algebraic letter for its value.

The substitution method is the algebraic method to solve different linear equations. In this method, the value of one variable from one of the equations is substituted in the other equation.

In substitution the following steps are used to solve an equation by substitution method:

Step 1. Simplify the given equation by removing the parenthesis.

Step 2. Solve one of the equations for any unknown value.

Step 3. Substitute step 2 result in the other equation.

Step 4. Now solve the equation which gets from step 3 obtained using elementary arithmetic operations.

Step 5. Finally, solve the final equation for the second variable.

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A 2% solution of _______________ has been moderately effective for about 50% of men who have used it.

Answers

A 2% solution of Minoxidil has been moderately effective for about 50% of men who have used it. Minoxidil is a vasodilator that was initially developed to manage hypertension.

Minoxidil, a medication that is applied topically, is used to cure hair loss in males and females, although it is more often used in men. It works by stimulating hair growth and slowing down hair loss.Minoxidil, a vasodilator, increases blood flow to the hair follicles, allowing them to produce thicker and longer hair. It is sold under various brand names, including Rogaine, Regaine, and Avacor Physician's Formulation, and is available in various strengths, including 2% and 5%.Minoxidil is more effective in treating androgenetic alopecia, also known.

As male pattern baldness, than other types of hair loss. It is believed that minoxidil promotes hair growth by increasing the diameter of the hair shaft, resulting in thicker and longer hair growth.Minoxidil is used to treat male and female pattern baldness (androgenetic alopecia) by applying it topically to the scalp. However, like any medication, there may be side effects, such as skin irritation, burning, or itching. As a result, it is recommended that people use it under the supervision of a physician.

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what the metric system of measurement is based on the number?

Answers

The metric system of measurement is based on the number 10.

This system is also known as the International System of Units (SI) and is used in most countries around the world. In the metric system, various units of measurement are defined as multiples or fractions of a base unit, which is defined for each quantity being measured. For example, the base unit for length is the meter, and the base unit for mass is the kilogram. Prefixes such as kilo-, centi-, and milli- are used to indicate multiples or fractions of the base unit, based on factors of 10. For example, a kilometer is 1000 meters, a centimeter is 1/100 of a meter, and a milligram is 1/1000 of a gram. This makes the metric system easy to use and convert between units, as well as consistent and universally recognized.

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-6x - x + 10 = 15 - 7x - 5

Answers

Answer:

Any value of x makes the equation true

-6x - x + 10 = 15 - 7x - 5

4. If a set of data is normally distributed with a mean of 40 and standard
deviation of nine. Determine the percent of the data that is between 36 and 41.

9.18%
18.81%
21.38%
54.38%

Answers

Answer:

18.81

Step-by-step explanation:


Pls help! Solve the equation by using quadratic formula.

-2x’2 + 4x = 5

Answers

Answer:

\(x=\frac{2\pm i\sqrt{6}}{2}\)

Step-by-step explanation:

\(-2x^2+4x=5\\\\-2x^2+4x-5=0\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\x=\frac{-4\pm\sqrt{(4)^2-4(-2)(-5)}}{2(-2)}\\\\x=\frac{-4\pm\sqrt{16-40}}{-4}\\\\x=\frac{-4\pm\sqrt{-24}}{-4}\\ \\x=\frac{-4\pm2i\sqrt{6}}{-4}\\ \\x=\frac{2\pm i\sqrt{6}}{2}\)

Manu drives 50 miles each day. How many miles does he drive in five days.

Answers

Answer: Manu drives 250 miles in 5 days.

Step-by-step explanation: Manu drives 50 miles each day, and he does this in each 1 out of 5 days. 50 + 50 + 50 + 50 + 50 is 250.

Answer:

250

Step-by-step explanation:

50= 1 day

?= 5 days

multiply 50 by 5

50 by 5= 250

to make it easier multiply 5 by 5 which is 25 then add the zero from the 50 at the end to get 250

What is the appropriate analysis to use when there are two independent variables that are measured and one dependent variable that is measured?

Answers

If there are two independent variables that are measured and one dependent variable that is measured, then the multiple regression method will use

Given,

The conditions

There are two independent variablesThe two independent variables are measured and one dependent variable that is measured

We know

In multiple regression method the dependent variables are predicted by using the known independent variables. This method is usually used to analyze the relationship between multiple independent variables and one independent variables,

So here multiple regression method is using.

Hence, if there are two independent variables that are measured and one dependent variable that is measured, then the multiple regression method will use

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a fourth grade class of 28 students is given a standardized math test, both at the beginning of the semester and again at the end of the semester. the mean difference in scores from the beginning and the end is considered. which statistic is being collected?

Answers

that the statistic being collected is the mean difference in scores from the beginning and the end of the semester.

In this scenario, the fourth grade class is given a standardized math test at the beginning and end of the semester. The scores from both tests are compared, and the difference between the two scores is calculated for each student. The mean difference in scores is then considered as a statistic to evaluate the overall progress of the class.

Mean difference is a statistical measure that represents the average difference between two sets of data. It is calculated by subtracting the mean of one set from the mean of the other set and then dividing the result by the number of data points.

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How are the properties of exponents used when dividing a polynomial by a monomial?

Answers

Answer:

a couple different obes

Step-by-step explanation:

there are five

a box has 10 disks numbered 1 through 10. a disk is drawn at random 50 times with replacement. the disk numbered 7 was drawn 6 times. what is the relative frequency of getting the disk numbered 7 on the next draw?

Answers

The relative frequency of getting the disk numbered 7 on the next draw is 0.12 or 12%.

To find the relative frequency of getting the disk numbered 7 on the next draw, we need to analyze the data provided.

In this scenario, a disk is drawn at random from a box containing 10 disks numbered 1 through 10. The draws are made with replacement, meaning that after each draw, the disk is returned to the box, and the next draw is independent of the previous ones.

We are given that the disk numbered 7 was drawn 6 times out of the 50 draws. To find the relative frequency of getting the disk numbered 7 on the next draw, we need to determine the proportion of times it appeared relative to the total number of draws.

The relative frequency can be calculated by dividing the number of times the desired outcome occurs (in this case, drawing disk 7) by the total number of trials (draws).

In this case, the number of times disk 7 was drawn is 6, and the total number of draws is 50. Therefore, the relative frequency is:

Relative frequency = (Number of times disk 7 was drawn) / (Total number of draws)

                 = 6 / 50

                 = 0.12

Hence, the relative frequency of getting the disk numbered 7 on the next draw is 0.12 or 12%.

This means that if we were to continue drawing disks with replacement, the probability of drawing disk 7 on the next draw would be approximately 12%. However, it's important to note that since the draws are made with replacement, the probability of drawing any specific disk remains the same for each draw, regardless of the previous outcomes.

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midpoint (12, -9), endpoint (19, 0) the other endpoint is ​

Answers

Answer:

(5, -18)

Brainliest, please!

Step-by-step explanation:

(12, -9)(19, 0)

x distance: 7, y distance: 9

To get the other endpoint, we must apply the opposite.

x distance: -7, y distance: -9

(12, -9)

12 - 7 = 5, -9 - 9 = -18

(5, -18)

An elevator started on the first floor, went up 18 floors, then came down 11 floors and went back up 16.
1 + 18 - 11 + 16
1 - 18 - 11 + 16
1 + 18 + 11 - 16
1 - 18 + 11 - 16

Answers

Answer:

1+18-11+16

Step-by-step explanation:

if the elevator went up it will be plus but if the elevator came down it will be minus and then you will get 1+18 because it went up and then it go down 11 floor and it will be 1+18-11 and then it went up again 16 floor so the last answer will be 1+18-11+16

Find a value of c so that P(Z ? c) = 0.71. a) -1.11 b) 0.75 c) -0.55 d) 0.55 e) 1.55

Answers

Among the provided answer options, the closest value to -0.555 is -0.55, which is option c. Therefore, option c (-0.55) is the value of c that satisfies P(Z ? c) = 0.71.

The notation P(Z ? c) represents the probability that a standard normal random variable Z is less than or equal to c. To find the value of c that corresponds to P(Z ? c) = 0.71, we need to determine the Z-score associated with this probability.

Using a standard normal distribution table or a calculator, we can find that a Z-score of approximately 0.555 corresponds to a cumulative probability of 0.71. However, since we are looking for the value of c in P(Z ? c), we need to consider the opposite inequality.

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If a figure is a square, its diagonals divide it into isosceles triangles.

p: A figure is a square.

q: A figure's diagonals divide into isosceles triangles.

Which represents the converse of this statement? Is the converse true?

Answers

The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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Which of these scenarios illustrate independent events?
Answer:

A. Only ll
B. only ll
C. Both l and ll
D. Neither l nor ll

Answers

Answer:

The answer would be C, Both I and II.

Step-by-step explanation:

You can find an attached file which shows the scenarios incase your confused.

what is 5.46÷ 0.25 (show ur work long divison)

Answers

5.46/0.25= 21.84 hope it helps
what is 5.46 0.25 (show ur work long divison)

Change the subject of the equation v = u + at to a.

Answers

Answer ↓

Calculations ↓

In order to make a the subject of this equation , we need to get a by itself .

The current equation is :

v = u + at

Subtract u on both sides :

v-u=at

Now, divide by t on both sides :

v-u/t=a

So the formula looks like ↓

\(\boxed{\\\begin{minipage}{3cm}Equation \\ a=$\displaystyle\frac{v-u}{t} $ \\ \end{minipage}}\)

hope helpful ~

3x-2y=1 what is the x-coordinate of this point

Answers

Answer:

Explanation:

Given the line:

3x - 2y = 1

PLS HELPPPPPPPPPPPPOPPPPPPPPPPPPPPPPPPPPPPP

PLS HELPPPPPPPPPPPPOPPPPPPPPPPPPPPPPPPPPPPP

Answers

500divided by 100=5
5=1%
5 x 70= 350
ans 350% of solution is alcohol

Part A
In the table, describe the shape of the cross section formed when a particular plane passes through the cone..

A
Description of Plane
plane parallel to the circular base, not passing through the tip of the cone
plane parallel to the circular base, passing through the tip of the cone
plane not parallel to the base, not passing through the base, and making an angle with the horizontal that is less than that made by the
slant height of the cone
plane making an angle with the horizontal that is greater than that made by the slant height, passing through the tip of the cone
Description of Cross
Section

Part AIn the table, describe the shape of the cross section formed when a particular plane passes through

Answers

All the solutions are;

1) Circle

2) A point

3) An oval that becomes more elongated as the angle with the horizontal increases.

4) An isosceles triangle.

Since, A cross-section is a plane section that is a section of a three-dimensional object that is parallel to one of its planes of symmetry or perpendicular to one of its lines of symmetry.

Now, We can formulate;

1) Plane Parallel to the circular base, not passing through the tip of the cone:

⇒ Circle.

2) Plane Parallel to the circular base, passing through the tip of the cone:

⇒ A point.

3) Plane not parallel to the base, not passing through the base, and making an angle with the horizontal that is less than that made by the slant height of the cone:

An oval that becomes more elongated as the angle with the horizontal increases.

4) Plane making an angle with the horizontal that is greater than that made by the slant height, passing through the tip of the cone :

⇒ An isosceles triangle.

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A chef plaining for a large banquaet think that 2 out of every 5 dinner guests will order his soup appetizer he expects 800 guests at the banquat use equvilent ratios to estimate how many cups of soup he should prepare

Answers

Answer:

I think 80

Step-by-step explanation:

2*5=10

800/10 = 80

80 soups

320 people would order so im not sure how many cups each person would eat but if each person eats one cup of soup then it should be 320 cups

Please i need answer urgently

Please i need answer urgently

Answers

Then the probability of randomly choosing a student with one sibling is:

P =  0.42

How to find the probability?

To get this probability, we need to take the quotient between the number of students that have a sibling and the total number of students.

On the table we can see that there are:

2 + 7 + 4 + 13 = 26 students in total.

And of these, the ones that have one sibling are:

7 students with only one sister

+

4 students with only one brother.

7 + 4 = 11

Then the probability of having one sibling is:

P = 11/26 = 0.42

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Level 2 Problems
11. Given the similar triangles at right.
Note: Be careful. You do not set up
a. The scale factor from small to big is
b. y=
54
1562-72
C. W=
72
54
162
48
W

Level 2 Problems11. Given the similar triangles at right.Note: Be careful. You do not set upa. The scale

Answers

The value of the scale factor is 3. And the value of the variables 'v' and 'w' will be 36 and 96, respectively.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

The scale factor is given as,

SF = 162 / 54

SF = 3

Then the equation is given as,

v / (72 + v) = 1/3

Simplify the equation, then we have

3v = 72 + v

2v = 72

v = 36

Then the other equation is given as,

48 / (48 + w) = 1/3

144 = 48 + w

w = 96

The value of the scale factor is 3. And the value of the variables 'v' and 'w' will be 36 and 96, respectively.

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5x−2(x+1)=1/4 find x pretty please

Answers

Answer:

Delaney  solve for X by isolating it,  or getting it by it self

Step-by-step explanation:

5x−2(x+1)=1/4 (distribute the 2)

5x-2x - 2 = 1/4  (subtract 2x from 5x)

3x -2 +2 = 1/4 +2 (add 2 to both sides)

3x = 2_1/4  (put 2 &  1/4 together)

3x = 9/4 (convert 2_1/4 to  9/4)

\(\frac{1}{3}\)*3*x =  \(\frac{1}{3}\)*\(\frac{9}{4}\)  ( mutilply both sides by  1/3)

X = 3/4   (cross multiply )

There you go

X = \(\frac{3}{4}\)

Answer:

\(\huge\boxed{\bf\:x = \frac{3}{4}}\)

Step-by-step explanation:

\(5x - 2(x+1)=\frac{1}{4}\)

Use the distributive property for 2(x + 1).

\(5x - 2x - 2= \frac{1}{4}\)

Subtract 2x from 5x.

\(3x - 2= \frac{1}{4}\)

Bring 2 to the right hand side of the equation .

\(3x = \frac{1}{4} + 2\)

Add 1/4 & 2.

\(3x = \frac{1}{4} + \frac{8}{4} \: \: [LCM = 4]\\3x = \frac{9}{4}\)

Now, bring 3 to the right hand side of the equation .

\(x = \frac{9}{4} \times \frac{1}{3}\\x = \frac{9}{12}\\\boxed{\bf\:x = \frac{3}{4}}\)  

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i need help with this. its dividing polynomials

i need help with this. its dividing polynomials

Answers

Answer:

I don't know how to solve it

Answer:

x^2 + 3x + 9 + 7/x-3

What is the name of the segment inside the large triangle?
1. Perpendicular bisector
2.Midsegment
3.Angle Bisector
4.Median​

What is the name of the segment inside the large triangle?1. Perpendicular bisector2.Midsegment3.Angle

Answers

The name of the segment inside the large triangle is called the: 3. angle bisector.

What is an Angle Bisector?

The word "bisect" means to divide into two equal halves. Therefore, an angle bisector can be defined as a line segment that divides the an angle in a triangle into two parts that are of the same angle measure.

The image shows a triangle which has a segment that divides a vertex angle into equal parts. Thus, the segment can be named as an angle bisector.

A perpendicular bisector divides a segment into two equal halves at right angle, while a midsegment joins the middle points of two sides of a triangle. The median also, is a segment that joins a vertex of a triangle to the midpoint of the side that is opposite the angle.

Therefore, we can state that the name of the segment is: 3. angle bisector.

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60 Points for a rapid reply -calculate the measure of the central angle in the regular dodecagon {12 sides}

60 Points for a rapid reply -calculate the measure of the central angle in the regular dodecagon {12

Answers

Answer:

Maybe 30°

Cause 12:4 is 3

3x10 30

The central angle of a regular dodecagon is 30 degrees. Option A is the correct option.

The central angle - The angle created at the polygon's center by two adjacent radii—the lines that connect the polygon's center to its vertices—is known as the central angle.

We know it is a regular dodecagon, which means all the sides will be of equal size.

As it is a dodecagon there will be a total of 12 equal central angles added to give an angle of 360 degrees.

Let's assume the central angle is x.

12x = 360

x = 360/12

x = 30

Hence, the central angle in a regular dodecagon is 30 degrees.

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solve for x and find m∠FGH

solve for x and find mFGH

Answers

Answer:

x° = 11°

Z FGI = 60°

Step-by-step explanation:

If GH bisects Z FGI

then Z FGH = Z HGI

or, (3x - 3)° = (4x - 14)°

or, 3x° - 4x° = - 14° + 3°

or, = 11°

Z FGI = 33° - 3° + 44° - 14°

= 60°

question 4 while verifying cleaned data, a data analyst encounters a misspelled name. which function can they use to determine if the error is repeated throughout the dataset? 1 point case counta check count

Answers

To determine if a misspelled name is repeated throughout a dataset, a data analyst can use the COUNT function. This function counts the number of occurrences of a value in a range of cells.

Alternatively, the data analyst could use the COUNTA function, which counts the number of cells in a range that contain data (including text and numbers, but not empty or blank cells). The COUNTA function would also count the number of occurrences of the misspelled name in the dataset.

What is a dataset, using an example?

A collection of numbers or values pertaining to one subject constitutes a data set. An example of a data set might be each student's test scores for a certain class. The amount of fish that each dolphin eats in an aquarium is a data set.

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