The product of two consecutive odd integers is 63. If x is the smallest of the integers, write an equation in terms of x that describes the situation, and then find all such pairs of integers.

The equation that describes the situation is __________________
The positive set of integers is _________________
The negative set of integers is _________________

Answers

Answer 1

9514 1404 393

Answer:

x(x+2) = 637, 9-9, -7

Step-by-step explanation:

If x is an odd integer, the next greater odd integer is x+2. The product is said to be 63, so the equation is ...

  x(x +2) = 63

__

The equation can be rewritten as ...

  (x +1)² = 64

  x = -1 ±√64 = -1 ±8

The positive solution is x=7, so the positive set of integers is {7, 9}.

The negative solution is x=-9, so the negative set of integers is {-9, -7}.


Related Questions

please help and i’ll gift brainly!!!! thank you!

Answers

I think correct answer is AA~ (Angle Angle). Good luck.

Pls help on this question and no bitly please. Also 15 points

Answers

Answer:

B

Step-by-step explanation:

elimination

4x - y = 8

6x + y = 2

--------------- +

10x = 10

x = 1

since x = 1, we can subtitute x to one of those equations

4x - y = 8

4(1) - y = 8

4 - 8 = y

y = 4 - 8

y = -4

x,y = 1,-4

Answer:

B is correct

Step-by-step explanation:

you add the two equations together. So 4x + 6x  equals what? 10x. we know that y and -y cancel each other out. and then we all know that 8+2 is 10. now we have 10x=10 so x=1. We replace x for one and then we have 4 - y =8 so y has to equal -4 and there you have your answer, b

A student purchased 9 binders for $11.07.

Solve the equation to determine the cost, in dollars, for each binder.

$

Answers

Answer:

$1.23

Step-by-step explanation:

9 binders for 11.07, where x = num of binders

9x = 11.07  [Divide both sides by 9]

x = $1.23

Answer:

each binder costs $1.23

Step-by-step explanation:

$11.07 divided by 9 equals $1.23

Complete the sentence: An unbiased estimator is _____. a. any sample statistic used to approximate a population parameter b. a sample statistic, which has an expected value equal to the value of the population parameter c. a sample statistic whose value is usually less than the value of the population parameter d. any estimator whose standard error is relatively small

Answers

Answer:

a) Any sample statistic used to approximate a population parameter.

Step-by-step explanation:

An unbiased estimator is any sample statistic used to approximate a population parameter.

In mathematics, the bias of an estimator refers to the difference between the true value of the parameter being estimated and the estimator’s expected value.

If a statistic is not an underestimate or overestimate of the population parameter, then it is unbiased.

That is why an unbiased estimator is an accurate sample statistic used to approximate a population parameter.

Does anyone know the answer to this?

Answers

c : 5, -4/3
hope it helps

One day last summer, Tommy decided to take a drive into the countryside.

After a few hours' drive he arrived at a farm stand. Tommy was so excited by the sight of all those fresh fruits and veggies, that he tripped getting out of his MG and knocked over a huge basket of eggs. And of course they all broke!

He asked the farmer how many eggs were in the basket because he obviously wanted to compensate her for them. She said she didn't know exactly.

"But I do know,' she said, "that this morning I decided the eggs would be easier to sell if they weren't in a big basket but if they were in little paper bags.

"So when I took all my eggs and placed two in each bag I had one left over. I didn't like that so I took the eggs and I put three in each bag. And when I did that, I also had one left over.
"When I put four in each bag, I had one left over. When I put five in a bag or six in a bag, I had one left over. And when I put seven in a bag, I had none left over."


So here's the question: what's the smallest number of eggs that Tommy should have to pay for?

Answers

9514 1404 393

Answer:

  301

Step-by-step explanation:

In order for the remainder to be 1 when the number is divided by 2, 3, 4, 5, or 6, it must be 1 more than a common multiple of those numbers. The least common multiple is ...

  3·4·5 = 60

So, we want a number that is 1 more than a multiple of 60 and is divisible by 7. This gives us the Diophantine equation ...

  7m -60n = 1 . . . . . where m and n are integers

Perhaps the easiest way to solve this is to try values of n between 0 and 6. We find that n=5 and m=43 will be the smallest positive value of m that satisfies this equation. This makes the number of eggs be 7×43 = 301.

Tommy should have to pay for 301 eggs.

a triathlon event in which participants run,bike, and swim certain distances is mapped out in a triangle as shown below.

Answers

Answer:

A

Step-by-step explanation:

The statement 'the bike distance is greater than the run distance.' must be true.

The correct answer is option D.

What is distance?

"It is the length of the line joining the two points."

Angle properties:

In any triangle,

the smallest side and smallest angle are opposite one another. the mid-sized side and mid-sized angle are opposite one another.the largest side and largest angle are opposite one another.

For given example,

We have given two angles of triangle.

65° and 57°

We know, the sum of all angles of triangle is 180°.

Let 'x' be the remaining angle.

⇒ x + 65° + 57 = 180°

⇒ x +122° = 180°

⇒ x = 58°

We know,

In any triangle,

- the smallest side and smallest angle are opposite one another.

- the mid-sized side and mid-sized angle are opposite one another.

- the largest side and largest angle are opposite one another.

Here,

57° < 58° < 65°

⇒ Run < Bike < Swim

This means, the statement 'the bike distance is greater than the run distance.' is correct.

The correct answer is option D.

Learn more about angle here:

https://brainly.com/question/8729556

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What is the area of the triangle?

Answers

Answer:

The formula to find a triangle is (L+W)/2

Step-by-step explanation:

An angle turns through 2/6 of a circle. What is the measure of the angle?

Answers

Step-by-step explanation:                                                                                                                   coxhck dewmsaksak sadjnsajmksa

Find the amount of tax and the tax rate. Round to nearest hundredth of a percent.

Cost of item: $52

Selling price: $71.97

Answers

Answer:

Amount of Tax = $19.97

Tax Rate = 28%

Step-by-step explanation:

Amount of Tax = $71.97 - $52 = $19.97

Tax Rate = 19.97/71.97 × 100

= 0.28 × 100 = 28%

Find the greatest common factor of 10, 30, and 45.

Answers

Answer:

5

Step-by-step explanation:

The GCF of 10, 30, and 45 is 5.

∴ The greatest number that divides 10, 30, and 45 is [tex] { \underline{ \boxed{ \orange{ \tt{5}}}}} [/tex]

Hope it help ;)

PLEASE HELP ME TO SOLVE THIS QUESTION WITH STEP-BY-STEP. THANK YOU!!!​

Answers

Answer:

A) 12 thousand packets a day

B) 384 thousand Sen

Step-by-step explanation:

If the total is 72 thousand a week and the factory only operates 6 days, then you do 72 thousand / 6 to get 12 thousand, the packets made in one day.

To get b, all you have to do is do 32 Sen X 1w thousand to get the value of all the packets of chips

Solve for a Chocolate Chip Cookie!

Answers

Answer:

Hi! The answer to your question is x=-2 and y=3

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

x= 4-2y and y= 2- 1/2x

now gimme my cookie

questions number 1
How much paper is used for the label of the container, which covers the lateral surface area of the cylinder? Round your answer to the nearest tenth.
question number 2
what volume of oats will fill the container? Round your answer to the nearest tenth. ​

Answers

9514 1404 393

Answer:

  145.3 square inches

Step-by-step explanation:

The lateral area of the cylinder is given by ...

  LA = 2πrh

  LA = 2π(2.5 in)(9.25 in) = 46.25π in²

  LA ≈ 145.3 in²

About 145.3 square inches of paper is used for the label.

what is is distance between (0,2) and (5,2)

Answers

5 units. The only variable changing is x so it's just 5 units up from the second coordinate

Question 2 of 10
Which equation matches the graph shown?

O A.y-5= -2(x – 3)?
OB. y-3= }(x+3)?
O c. y+5 = {(x – 3)?
O D. y+3=-{(x – 3)?

Answers

Answer:

a

Step-by-step explanation:

Solve the following exponential equation. Round to the nearest thousandth place (3 decimal places)

5^3x+7 =311

Answers

Answer:

x= 2.432

Step-by-step explanation:

3/4(5a - 16)- 1/3(6a-3)

Answers

Answer:

If you want an expression answer (Simplify):

= 7/4a - 11

If you want an answer to the variable a (Find 'a'):

7/4a - 11 = 0

7/4a = 11

a = 44/7

Step-by-step explanation:

3/4(5a - 16) - 1/3(6a - 3)

= 15/4a - 12 - 2a + 1

= 7/4a - 11

The answer is 44/7. The L.C.M is 12.

Find the missing values in the ratio table. Then write the equivalent ratios

Answers

2 hours for the 8 miles, and 4 hours on the 1/3 hours.j


Identify the y-intercept in y=-1/3x + 2

Hint: y = mx + b

1. -1/3

2. 2

3. -2/3

4. -2

Answers

Answer:

2

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y = -1/3x + 2

    b = 2

Answer:

since negative 1/3 is the slope and x is the point on the x axis , 2 is the y intercept

Order these numbers from least to greatest:
|-17|
|-18|
-18
|19|
20

Answers

Answer:

-18, |-17|, |-18|, |19|, 20

Step-by-step explanation:

the absolute value of -17 is 17, the absolute value of -18 is 18, and the absolute value of 19 is just 19. Absolute values are never negative.

Hope this helps!

Given: f(x) = x2 and g(x) = x +1, find g[f(-2)].
1
5
-3

Answers

Step-by-step explanation:

what number does the unknown stands for

Answer:

is 1

Step-by-step explanation:

(-2+1)^2 is 1

https://studio.code.org/projects/flappy/cYGc2S_X9-cgWtBUmJ5BJta5xku7iqyon0wzrKhC-Do

Answers

Answer:

so fun and amazing!

Step-by-step explanation:

The perimeter of a rectangular plot of land for a new housing development is 270 m.

The width of the site is 60 m.

Calculate the length of the building site.

Answers

The length of the building site is 75 meters.

To calculate the length of the rectangular plot of land, we can use the formula for the perimeter of a rectangle, which is given by:

Perimeter = 2 * (Length + Width)

In this case, the width is given as 60 m, and the perimeter is given as 270 m. We can substitute these values into the equation and solve for the length.

270 = 2 * (Length + 60)

Dividing both sides of the equation by 2 gives:

135 = Length + 60

Subtracting 60 from both sides of the equation gives:

Length = 135 - 60

Length = 75

It's important to note that the length of the building site is specific to this particular rectangular plot of land with a given width and perimeter. If the width or perimeter were to change, the length would also change accordingly. Additionally, this calculation assumes that the shape of the plot is a rectangle and that the perimeter only includes the sides of the plot, not any internal structures or obstacles.

For more such questions on length

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PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

B) Angle 2 and Angle 3

Step-by-step explanation:

Angle 2 and Angle 3 are equal since they're vertical angles and aren't supplementary

Angle 7 and 8 are supplementary

Angle 1 and 7 are supplementary

Honestly, i have no clue with angle 4 and angle 4. I just know that vertical angles aren't supplementary because they're equal to each other so I'll assume this is the case as well.

Jaime is employed by Johnson & Johnson making $30 an hour. She had $400 in sales, which
she receives an 8% commission. If she worked 20 hours last week, what was her weekly
pay?

Answers

Answer:

$632

Step-by-step explanation:

Set up an equation:

$30(20 hours) + ($400 × 0.08)

$600 + $32

$632

22% of _ peaches is 11 peaches

Answers

I’m pretty sure it’s 50 peaches

PLZ HELP!
Find the 19th term in the geometric sequence.
2, 6, 18, 54, ...
A)2,324, 522,934
B)1, 162, 261,467
C)6,973,568,802
D) 774, 840,978

Answers

Answer:

D

Step-by-step explanation:

The equation for the sequence turns out to be 2([tex]3^{n-1}[/tex]) where n is the nth.

Plugging in 19 you get 2([tex]3^{18}[/tex]), or  774,840,978

The correct answer would be D.

X^3 - 5x^2 + 2x + 8 = 0; x - 2 factor and find all roots

Answers

Answer:

The zeroes are -1, 2, and 4. Factored: (x+1)(x-4)(x-2)=0

Step-by-step explanation:

A glass has 6/8 cup of water. If Jack pours out 3/8 cup of the water, how much water will be left?​

Answers

Answer:

3/8

Step-by-step explanation:

........ur welcome.........

6/8 - 3/8

Answer:

3/8

Step-by-step explanation:

6/8-3/8 =38 your welcome guys;)

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