the product of two consecutive odd integers is one less than four times their sum. Find the two integers.

Answers

Answer 1
Here I can help 1. Let n be one odd integer. 




Answer 2
x(x+2) = 4(x+x+2) - 1
x^2 + 2x = 8x + 8 - 1
x^2 - 6x - 7 = 0
(x-7)(x+1) = 0
x = 7 and x = -1

the two integers are 7 and 9
or
two integers are - 1 and 1

Related Questions

A plant manager needs 75 sq. yds. of fabric and the fabric is only 32 in. wide. How many linear feet must she make to produce 75 sq. yds.?
A) 1.23
B) 4.56
C) 66.67
D) 253.12

Answers

Probably d because it's 23.45

A jacket cost 54 the price was reduced by 20% off what is the sale price

Answers

x/54 = 80/100

4320/100 = 43.20

The answer will be $43.20

Hope I helped :)

The basket of golf balls at a miniature golf course contains 18 golf balls, of which 9 are red. What is the probability that a randomly selected golf ball will be red?

Answers

Final answer:

The probability that a randomly selected golf ball will be red from a basket of 18 balls, with 9 red, is 1/2 or 50%.

Explanation:

The question is asking about the probability of selecting a red golf ball from a basket that contains 18 golf balls, with 9 of them being red. To find this probability, we divide the number of red golf balls by the total number of golf balls.

Here is the calculation:

Number of red golf balls: 9

Total number of golf balls: 18

Probability (P) of selecting a red golf ball: P = Number of red golf balls / Total number of golf balls

P = 9 / 18

P = 1/2 or 0.5 or 50%

Therefore, the probability that a randomly selected golf ball will be red is 1/2, which can also be expressed as 0.5 or 50%.

A line segment has endpoints at (–1, 4) and (4, 1). Which reflection will produce an image with endpoints at (–4, 1) and (–1, –4)?

a reflection of the line segment across the x-axis
a reflection of the line segment across the y-axis
a reflection of the line segment across the line y = x
a reflection of the line segment across the line y = –x

Answers

Answer:

a reflection of the line segment across the line y = –x

Step-by-step explanation:

Reflecting across the line y = -x switches the x- and y-coordinates and negates both.  This will map

(-1, 4)→(4, -1)→(-4, 1) and

(4, 1)→(1, 4)→(-1, -4)

The reflection that produces an image with endpoints at (–4, 1) and (–1, –4) is a reflection of the line segment across the line y = -x.

Option D is the correct answer.

What is a reflection?

There are two ways of translation.

Along x-axis:

(x, y) – (x, -y)

Along y-axis:

(x, y) - (-x, y)

We have,

The reflection of a point over the x-axis involves changing the sign of its

y-coordinate while leaving the x-coordinate unchanged.

The reflection of a point over the y-axis involves changing the sign of its

x-coordinate, while leaving the y-coordinate unchanged.

The reflection of a point over the line y = x involves swapping its x and y-coordinates.

The reflection of a point over the line y = -x involves swapping the sign of its x and y-coordinates.

To find the reflection that produces an image with endpoints at (–4, 1) and (–1, –4), we need to reflect the original line segment across a line that produces an image with the same length and orientation as the given endpoints.

One way to do this is to plot the points and draw the line segment, then draw the candidate lines of reflection and see which one produces the desired image.

Another way is to compute the midpoint of the original line segment and see which reflection takes that midpoint to the midpoint of the desired image.

Using the second method, the midpoint of the original line segment is:

= ((–1 + 4) / 2, (4 + 1) / 2)

= (1.5, 2.5)

The midpoint of the desired image is:

= ((–4 + –1) / 2, (1 + –4) / 2)

= (-2.5, -1.5)

To find the reflection that takes (1.5, 2.5) to (-2.5, -1.5), we can see that this is the reflection across the line y = -x.

Therefore,

The reflection that produces an image with endpoints at (–4, 1) and (–1, –4) is a reflection of the line segment across the line y = -x.

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What is the radius of the circle whose center is the origin and that passes through the point (5 12)?

Answers

Radius is length of line from centre to the point.
Radius=√5^2+12^2=√169=13units

The radius of the circle whose center is the origin and that passes through the point (5 12) is 13 units.

What is the radius of a circle?

explanation;

taking from origin,

let 5 units equat to x - axixs

 and y = 12 units

so using pythagoras theorm radius = square root of (12)² + (5)²

                                                              = [tex]\sqrt{169}[/tex]

                                                                 =13 answer.

The radius of a circle is the length of the line section from the middle to some extent at the circumference of the circle. it is commonly abbreviated as 'r'. There can be countless radii drawn in a circle and the duration of all those radii can be the identical. it is half of the diameter of the circle.

Radius of a circle from region: in case you know the place A , the radius is r = √(A / π) . Radius of a circle from circumference: if you understand the circumference c , the radius is r = c / (2 * π) . Radius of a circle from diameter: if you understand the diameter d , the radius is r = d / 2

A line phase extending from the middle of a circle or sphere to the circumference or bounding surface. 2a = the bone at the thumb side of the human forearm also : a corresponding a part of vertebrates above fishes. b=the 1/3 and commonly biggest vein of an insect's wing.

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Seekor ikan mas memiliki ekor yang panjangnya sama dengan panjang kepalanya ditambah tiga perlima panjang tubuhnya. Panjang tubuhnya tiga perlima dari panjang keseluruhan ikan. Jadi panjang kepala ikan mas adalah 5 cm, berapa panjang keseluruhan ikan tersebut?

Answers

Jawapan saya adalah 11.2 cm keseluruhan ikan 

Gina bought 2.3 pounds of red apples and 2.42 pounds of green apples.they were on sale for 0.75 a pound.how much did the apples cost altogether

Answers

0.75 = 1lb
2.3lb = (0.75 × 2.3lb) = £1.725
2.42 = (0.75 × 2.42lb) = £1.815
Added together = £3.54

How many like terms are in the expression? 14x-14y+7-x+z+2x

Answers

There should be 3 terms because X is a term, Y is a term, Z is a term, and Integers (such as -5 or 5) are terms.
 
Answer:

The number of like terms in the given expression are:

                                           3

                ( 14x , -x and 2x)

Step-by-step explanation:

Like terms--

The like terms are the terms which have the same variables with the same power.The coefficients of such terms may vary.

The expression is given by:

        14x-14y+7-x+z+2x

There are total 6 terms in given expression.

The number of terms with variable x are: 3  i.e.   14x , -x and 2x

The number of terms with the variable y is: 1 i.e. -14y

The number of terms with variable z is: 1 i.e.  z

and the number of constant term is: 1 i.e. 7

Hence, the number of like terms are: 3

A printer prints 28 photos in 8 minutes.
 How many minutes does it take to print 21 more photos?

Answers

since 28/8 can convert to 3.5/1 (3.5 per min) and since 3.5 goes into 21 6 times exactly your answer is 6 minutes

30 POINTS!! WILL VOTE BRAINIEST

The table shows a linear function

(a) Determine the difference of outputs of any two inputs that are 1 unit apart. Show your work.
(b) Determine the difference of outputs of any two inputs that are 2 units apart. Show your work.
(c) Determine the difference of outputs of any two inputs that are 3 units apart. Show your work.
(d) What do you notice about the ratios of the differences in the outputs to the input intervals? Explain your answer.

Answers

Part A:

Consider from x = -5 to x = -4, they are 1 unit apart and the difference of their outputs is given by:

-3 - (-11) = -3 + 11 = 8.

Thus, the value of the output increases by 8 units for each one unit increase in the input.



Part B:

Consider from x = -3 to x = -1, they are 2 units apart and the difference of their outputs is given by:

21 - 5 = 16.

Thus, the value of the output increases by 16 units for each two units increase in the input.



Part C:

Consider from x = 0 to x = 3, they are 3 units apart and the difference of their outputs is given by:

53 - 29 = 24.

Thus, the value of the output increases by 24 units for each three units increase in the input.



Part D:

It can be noticed that the ratio difference in the outputs to the input intervals are equal for all the given input intervals.

i.e 8 / 1 = 16 / 2 = 24 / 3.

Nathan is 5 years older than dan. if the total of their ages is 19, how old is dan?

Answers

19-5=14 -5 =9 Dan is 9

The width of a rectangle is equal to m cm, but its length is five times greater than the width. Find the area of the rectangle.

Answers

With the given information, I can conclude that the length of the                rectangle is 5m



I hope this helps.

width=m

length=5m

Area= l x w

Area=5m x m

Area=5m^2

(^ the exponent or power)

Which equation can be used to find one of the missing side lengths in the triangle?

Answers

Cos60 = BC / AB 
Cos60 = a/12

answer is D. last one
Cos60 = a/12

What is 15 + 17- 100 + 1000 + (-132) x 0?

Answers

= 15 + 17 - 100 + 1000 + (-132) * 0
= 932 + (-132) * 0
= 932

You stated that the answer should be 0 which is utterly incorrect. Had the question been 
=(15 + 17 - 100 + 1000 + (-132)) * 0
Then you'd be correct. But as the way the actual question is written the multiply by 0 is only applied to the (-132)

The result of the expression 15 + 17 - 100 + 1000 + (-132) x 0 is 932.

Multiplication first according to the order of operations (PEMDAS/BODMAS):

(-132) x 0 = 0

Now, substitute the result back into the equation:

15 + 17 - 100 + 1000 + 0

Next, perform the addition and subtraction from left to right:

15 + 17 = 32

32 - 100 = -68

-68 + 1000 = 932

So, the final answer is 932.

What is the value of x in the equation 1/5x-2/3 y = 30, when y = 15?

A.4
B.8
C.80
D.200

Answers

The value of x in the given equation 1/5x-2/3 y = 30 when y = 15 is given by option D. x = 200.

To find the value of x in the equation 1/5x - 2/3y = 30 when y = 15,

substitute the value of y into the equation and then solve for x.

Equation is 1/5x - 2/3y = 30

Substitute y = 15:

1/5x - 2/3(15) = 30

Now, calculate the value of 2/3(15):

2/3 × 15 = 30/3 = 10

Now, the equation becomes:

1/5x - 10 = 30

To isolate the term with x, add 10 to both sides of the equation:

1/5x = 30 + 10

1/5x = 40

Finally, to find x, multiply both sides by 5:

x = 40 × 5

x = 200

Therefore, the value of x in the equation when y = 15 is  option D. x = 200.

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((Use the graph shown below to fill in the blank.))

If (4, y) is an ordered pair of the function, then y = a0.

Answers

when x is 4 the diagonal line is on the first line above the 4 so that would be y=1

The answer Y=1

:) hope this helps

An urn contains two red and four white balls. balls are drawn from the urn successively, at random and with replacement. what is the probability that exactly three whites occur in the first five trials?

Answers

To answer for the probability, let's consider first the given.

Given: 4 white balls, 2 red balls

Required: Probability of three (3) whites will be drawn out of five (5) trials

Solution:

Balls are drawn at random and with replacement.

Probability = (4/6)*(4/6)*(4/6) =29.6%

ANSWER: The probability of white, white, white is 29.6%

The first three terms of a geometric sequence are as follows.
32, 16, 8
Find the next two terms of this sequence.

Answers

32/16 = 2
16/8 = 2

so 8/2 = 4

4/2 = 2

your next 2 terms are 4 and 2

hope this helps
The common ratio is 16/32 = 8 / 16  = 0.5

So the next 2 terms are 8*0.5 = 4   and 4*0.5 = 2

answer is 4 and 2

An elliptical park is being built in your neighborhood. The park is 25 meters long and 40 meters across. If two swings are to be placed at the foci of the ellipse, how far from the center must the swings be located?

Answers

Lets say that the center is at (0,0)
The equation for an ellipse is 
x^2/a^2 + y^2/b^2 = 1

The equation will be x^2/40 + y^2/25 = 1
a^2 - b^2 = c^2
40 - 25 = 15
The foci is (sqrt(15,0) and (-sqrt(15),0)

Answer:the answer is 20

Step-by-step explanation:

Leila is choosing a 2-letter password from the letters A, B, and C. The password cannot have the same letter repeated in it. How many such passwords are possible?

Answers

I believe the answer is 3.

which graph shows the inequality y<2

Answers

The answer your looking for is B

Mr. rodriguez, a college instructor, can grade his class papers in 3 hours while it takes his assistant 4.5 hours. if mr. rodriguez graded the papers for 1 hour and then left the job for his assistant to complete, how long will it take his assistant to finish grading papers?

Answers

The rate of mr Rodriguez to complete 1 job is 1/3 while that of his assistant is 1/4.5.

So if mr Rodriguez works for 1 hour, the job left would be 2/3 of the job. So the total time needed by assistant is:

(2/3) / (1/4.5) = 3 hours

 

Answer:

3 hours

ASAP HELP FOR NUMBER 21!! DO 21 B, C, AND D!! PLS!

(CORRECT ANSWERS PLS)

(Random ANSWERS get moderated)

Answers

21 b) Anchee : y = 5x
Jonah : y = 3x + 20

21 c) m in both equations stand for the amount of money the Anchee and Jonah are paid each week. b stands for the amount of money the two are paid initially.


Part B:
Y = 5x
Y = 3x + 20
Part C:
In each equation, the values of m show the earnings and the values of b show the amount of money they had already started with.
Part D:
The values of m and b for each line tell me that they will eventually intersect.

Mr.Traynor's class is taking a field trip to the zoo.The trip will cost $26 for each student.There are 22 students in her class.What is a good estimate for the cost of the students' field trip?

Answers

A good estimate would be $500 because if I round $26 to $25 and 22 to 20, 20x25=500

The robber stole 280 dollars' worth of one-dollar bills. He also stole some 100-dollar bills, 50-dollar bills, and 20-dollar bills. Which expression could represent the amount of money that was stolen? A) 280(100x+50y+20z) B) 100x+50y+20z-280 C) 280x+170 D) 170x+280170x+280 E) 100x+50y+20z+280

Answers

E, because he is stealing everything, meaning he has a net profit. So, you would add everything. Since he 280 $1 bills, he just stole $280 which is a definite quantity, so we don't need a variable for it. Since everything else are indefinite quantities, we need variables (x, y, z). But, yeah, E should be the answer.

The total amount Toni spent on shirts is $64. If you rewrite 64 using 2 as the base, what would be the exponent?

Answers

6 because 2x2x2x2x2x2=64
2x2=4x2=8x2=16x2=32x2=64
Final answer:

To rewrite 64 using 2 as the base, the exponent is 6.

Explanation:

To rewrite 64 using 2 as the base, we need to find the exponent that represents the power of 2 that equals 64. In other words, we need to solve the equation 2 to the power of x equals 64. We can do this by finding the logarithm with base 2 of 64. Using a calculator, we find that log base 2 of 64 is 6. Therefore, the exponent is 6.

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BRAINLIEST FOR THE RIGHT ANSWER!!!

Jim Smith is a salesman who receives a $1,100 draw per week. He receives a 12% commission on all sales. Sales for Jim were $205,000 for the month. Assuming a four-week month, Jim's commission after the draw is

Answers

he receives a commission of $6150 every week and in whole month he receives $ 24600 as commission and $ 4400 as draw
So, know the equation is:

205,000 - 1,100w - 12% = e

w = weeks he worked
e = earnings

If he works 4 weeks, then we fill in w with 4:

205,000 -1,100(4) - 12% = e

1,100 x 4 = 4,400

Now subtract:

205,000 - 4,400 = 200,600

Now to get his commission, turn the percent into a decimal:

12% ----> .12

Then multiply that by the sales after draws:

200,600 x .12 = 24072

That means that Jim Smith got $24072 from commission.

Hope this helps!

Perform the indicated operations. x+1/3y+x-2/4y-x=3/6y

Answers

Final answer:

The student's question seems to be about algebraic operations with an unclear equation, but the provided example with y = 9 + 3x demonstrates how to create a table and graph of a linear equation with a slope of 3 and y-intercept of 9.

Explanation:

The student's question involves performing the indicated operations with algebraic expressions that include variables and fractions. The expressions mentioned resemble an equation that could potentially be simplified or solved, but the question as written contains typos and lacks clear structure. Consequently, to provide an accurate answer, we would need the correct and complete version of the equation.

However, in similar problems, one would typically combine like terms, find a common denominator for fractions, and simplify the equation to solve for the variable. For the equation y = 9 + 3x, to create a table of values, one can choose different values of x, substitute them into the equation, and calculate the corresponding y values. Then, plotting these points on a graph would show the linear relationship represented by the equation with a slope (m) of 3 and a y-intercept (b) of 9.

How many 3/4 cup servings are there in a 6 cup package of rice?

Answers

16 servings. Hope this helps!
4 2/4 simplified ~ 4 1/2

Line g has a slope of -4/7. Which of the following equations represents a line that is perpendicular to line g?

A) Y= -7/4x

B) Y= -4/7x

C) Y= 4/7x

D) Y= 7/4x

Answers

Final answer:

The equation that represents a line perpendicular to line g is Y= 7/4x (option D).

Explanation:

A line that is perpendicular to line g will have a slope that is the negative reciprocal of -4/7. The negative reciprocal of a slope is found by flipping the fraction and changing the sign. The negative reciprocal of -4/7 is 7/4. Therefore, the equation that represents a line perpendicular to line g is Y= 7/4x (option D).

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