Complete the conjecture based on the pattern you observe in the examples below:

Conjecture: The sum of any two odd numbers is ___

1 + 1 = 2 9 + 11 = 20

1 + 5 = 6 13 + 21 = 34

7 + 9 = 16 101 + 103 = 204


Conjecture: The product of any two numbers is ___

1 . 1 = 1 9 . 11 = 99

1 . 3 = 3 13 . 11 = 143

3 . 7 = 21 101 . 103 = 10,403


Conjecture: The product of a number (x-1) and the number (x+1) is always equal to ___

3 . 5 = 4² - 1 7 . 9 = 8² - 1

4 . 6 = 5² - 1 6 . 8 = 7² - 1

5 . 7 = 6² - 1 8 . 10 = 9² - 1

Answers

Answer 1

Step-by-step explanation:

the writing and spacing of the problem description is difficult to understand.

but there is no mystery. look at the examples.

all of them

3×5 = 15 = 16 - 1 = 4² - 1

4×6 = 24 = 25 - 1 = 5² - 1

5×7 = 35 = 36 - 1 = 6² - 1

6×8 = 48 = 49 - 1 = 7² - 1

7×9 = 63 = 64 - 1 = 8² - 1

8×10 = 80 = 81 - 1 = 9² - 1

so, what does this look like ?

(x-1)×(x+1) is always equal to (x² - 1)


Related Questions

Please answer this big question nobody ever answers my questions im sad :(

Answers

Answer:

Step-by-step explanation:

1.

3,4,5 will make a triangle.

2.

sum of any sides > third side

difference of any two sides < third side

3+4=7>5

4+5=9>3

5+3=8>4

again

4-3=1<5

5-3=2<4

5-4=1<3

so it makes one triangle.

3.

3,4,8

4.

3+4=7 not >7

again

8-4 =4 not <3

so they do not make a triangle.

13) What are the solutions to y2 = 81?

Answers

Step-by-step explanation:

y²=81

y²=9²

:. bases same powers equal,

y=9.

hope this helps you.

9 would be the y because if you substitute the 9 with the y it would be 9 to the second power which would mean you would multiply 9 • 9

HELP PLEASE 10 POINTS

Answers

Answer:no idea

Step-by-step explanation:

Please show the process of your result. Thank you! :D

Answers

Answer:

[tex]3\sqrt{7}[/tex] Is correct answer

Step-by-step explanation:

In pic

(Credits: Symbolab)

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Point S lies on AB. If AB = 34 units, AS = 5 + 2x units, and SB = x + 2 units, what is the length of AS in units?
Enter the correct answer in the box.
units

Answers

Answer:

AS=9

Step-by-step explanation:

lee Hoskins: Attempt 1

A tennis racket with a price of $180 is subject to a sales tax of 7%. What is the total
price of the racket?
$192.60
$187

Answers

I think it is $192.60
7% of 180 is 12.60, then add 12.60 to 180 and you’ll get 192.60!!

Tori, Brielle, and Abby, go shopping together. Together they spend $215. Brielle spends twice as much as Tori, and Abby spends one dollar less than three times what Tori spends. How much did each girl spend?

Answers

Step-by-step explanation:

Tori + Brielle + Abby = 215

Give Tori spends x.

Brielle ; 2x and Abby ; 3x - 1

so

x + 2x + 3x - 1 = 215

6x - 1 = 215

6x = 216

x = 36

Tori spends $36 Brielle spends $72 and Abby spends $107.

please give me a brainliest answer

A car increased price by 3/4. after the increase it was priced at £84 what was the original price???

Answers

Answer: I think this is how we do it but i am not sure the answer is 48

Step-by-step explanation:

if the price increase by 3/4 then that mean it total will be 7/4 as 4/4 is it original price add so 7/4=84/x 84x4 is 336 336 divide by 7 is 48 to check 48 x 7/4 or 48 x 3/4 and add 48 if u math is correct than u should get 84

Explain why it does not matter which point you choose when writing the
equation of the line in point-slope form, given two points.

Answers

Answer:

because, it will completely change the slope

Step-by-step explanation:

It does not matter which point you choose when writing the

equation of the line in point-slope form because the slope of the line remains same.

What is a slope ?

A slope can be thought of as rate of change of y axis with respect to x axis.

We have been asked in this statement that why it doesn't matter that which point we choose when writing the equation in point slope form.

Let us understand this with an example,Suppose we have two pair of points. (x₁,y₁) = (2,3) and (x₂,y₂) = (5,9).

We know slope(m) is = (y₂-y₁)/(x₂-x₁).

Slope(m₁) = (9-3)/(5-2)

               = 6/3

               = 2.

Now if interchange the points  (x₁,y₁) =  (5,9) and  (x₂,y₂) =  (2,3).

Slope(m₂) = (3-9)/(2-5)

                = -6/-3

                = 2.

So, even when interchanging the points the slope m₁ = m₂ this is the reason why it doesn't matter which point we choose.

learn more about slope here :

https://brainly.com/question/837699

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10. Write About It Meredith describes to Liza two purchases she made.
"On Monday, I bought 39 books and 21 CDs for $396. On Tuesday, at the
same prices, I bought 52 books and 28 CDs for $518."
Liza thought about the numbers and said, "That's impossible!" Is Liza
correct? Assume that all books cost the same amount and all CDs cost
the same amount. Explain.

Answers

Answer:

Yes, because the 39 books and 21 cds price is proportional to the 52 books and 28 cds' price

Step-by-step explanation:

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How is multiplying and dividing numbers in scientific notation different from adding and subtracting numbers in scientific notation?

You can _____ numbers written in scientific notation only if their powers of 10 are the same. You can _____ numbers written in scientific notation that have different powers. The laws of exponents are used to combine powers.​

Answers

Answer:

add or subtractmultiply or divide

Hope this helps!

Whats This Questions Answer Answer It Cuz I Have math Exam After 3Days

Answers

Answer:

bde=30 degrees

Step-by-step explanation:

angle abc = 50 degrees

50+100=150

180-150=30degrees

[tex]\frac{4}{\sqrt{5}-1 } -\frac{4}{\sqrt{5}+1\\ }[/tex]

Answers

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[tex]join \: bunny \: squad[/tex]

[tex]join \: bunny \: squad[/tex]

btw,, the formula you insert is incorrect:)

Answer:

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salamat sa ponts

please help I will make Brainliest if correct (show working)​

Answers

Answer:

I beleive X=2

Area is 24

Step-by-step explanation:

X=2 because the side with B has 4cm and on the other it has 6 but the 4 can be put into 6 and 6-4 is 2 if that made any sense

The area is 4 times 2= 8 and then 8 times 2 is 16

16+8=24

What is the slope of a line perpendicular to the line represented by the equation 2y=-6x+8

Answers

Answer:

First we need to solve the linear equation for y because we need to get the slope. Once we have the slope we need to convert it to its negative reciprocal, this means to just change the sign of the slope and flip it. The negative reciprocal is always perpendicular to the original slope.

2y = - 6x + 8

y = (-6x/2) + 8/2

y = - 3x + 4

The current slope is -3 or -3/1

The negative reciprocal is 1/3

Three out of nine cats weigh less than 15 pounds.
What is the decimal equivalent for the number of cats weighing less than 15 pounds?

Answers

Answer:

0.333...

Step-by-step explanation:

3 out of 9 can be written as 3/9 which reduces to 1/3.

1/3 = 0.333...

PLEASE help!! I’ll give brainliest!!

The graph shows the number of gallons in a pool being drained and
represents a linear function.

Which statement about this function is correct?

A. The y-intercept is (0, 8500), and the 8500 represents the number
of gallons before draining the pool.

B. The y-intercept is (0, 8500), and the 8500 represents the number of
gallons drained per hour.

C. The y-intercept is (8500, 0) and represents the number of hours it
takes to drain the pool.

D. The y-intercept is (8500,0) and represents the number of gallons
drained per hour.

Answers

Answer:A. The y-intercept is (0, 8500), and the 8500 represents the number

of gallons before draining the pool.

Step-by-step explanation:

The y-intercept is (8500,0) and -540 represents the number of gallons drained per hour. Then the correct option is D.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

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.

The graph shows the number of gallons in a pool being drained and represents a linear function.

Let 'x' be the number of hours and 'y' be the volume. And the points are (4, 6340) and (6, 5260). Then the equation of the line is given as,

(y - 6340) = [(6340 - 5260) / (4 - 6)] (x - 4)

y - 6340 = - 540x + 2160

y = - 540x + 8500

The y-intercept is (8500,0) and -540 represents the number of gallons drained per hour. Then the correct option is D.

More about the linear equation link is given below.

https://brainly.com/question/11897796

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Johan and Rahul shared a chocolate bar. Johan took 3\7
and Rahul took 4\9
of
the chocolate bar. Who took the biggest part of the chocolate bar? And by
how much?

Answers

Answer:

Rahul by 1

Step-by-step explanation:

Johan - 3/7

Rahul - 4/9

1. Convert fractions

3/7 -> 27/63

4/9 -> 28/63

28/63 > 27/63

Rahul took more by 1/63

Pls help I have 10 minutes

Answers

Answer:

-5p (11p-8p+7p-15p = 4 terms)

100 - 100m 5 terms

-4.1n^3 + 3.6 a^2 + 1.4a. 4 terms

26 x^2y - 22 x y^2. 2 terms (can’t be combine)

Step-by-step explanation:

english 3 hhhhhhhhhheeeeeeelllllllllllllllllppppppppppp me

Answers

Answer:

the answer is: A

because deduce means to arrive at a fact or conclusion by reasoning.

also because the correct word you would use In option A is reduce.

two complementary angles are in a ration of 2 3 find the measure of each angle

Answers

A complementary angle is 90 degrees. The ratio is 2:3 so the equation would be:

2x+3x=90

5x=90

x=18

One of the angles would be 2(18) or 36 degrees and the other angle would be 3(18) or 54 degrees.

36+54 is equal to 90 degrees so it checks out.

Which function is equivalent to g ( x ) = x 2 + 15 x - 54?

Answers

Answer:

g(x) = (x+18)(x-3)

Step-by-step explanation:

g(x) = x²+15x-54= x²+18x-3x+54= x(x+18) -3(x+18)g(x) = (x+18)(x-3)

Use the given figure to complete the statement below. is the bisector of ∠COA.

Answers

Answer:

45

Step-by-step explanation:

Two numbers multiply to be -7 and add to be 6. What are the numbers?

Answers

Answer:

-1 and 7

Step-by-step explanation:

-1 x 7 = -7

-1 + 7 = 6

Both outcomes are true with these two numbers.

I need help solving #9 & #11! It's geometry but I'm just really stuck

Answers

Answer:

9)x=11 y=3

11)x=18 y=5

Step-by-step explanation:

9) 9x+25=13x+19                   13x-19+17y+5=180

   9x+44=13x                         129+17y=180

   44=4x                                 17y=51

   11=x                                     y=3

11) 49+3x=7x-23                    3x=11y-1

i realy need it very desparate

Answers

Answer: how to stop deppreshon

Step-by-step explanation: The mainstay of treatment is usually medication, talk therapy, or a combination of the two. Increasingly, research suggests these treatments may normalize brain changes associated with depression.

Use a number line to show your work as you find the value of each expression
a. -5 + 3.25
b.3.18+(-7)

Answers

For  -5 + 3.25, we will start from -5 and move to the right by 3.25 units as shown to have 1.75

Similarly for 3.18+(-7), we will start from 3.18 and move to the left by 7 units as shown to have -3.82

For the expression -5 + 3.25

The number line contains both negative and positive values. negative numbers are to the left of the line while positive values are to the right of the line

For  -5 + 3.25, we will start from -5 and move to the right by 3.25 units as shown to have 1.75

Similarly for 3.18+(-7), we will start from 3.18 and move to the left by 7 units as shown to have -3.82

Learn more here: https://brainly.com/question/15816805

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Answers

Answer:

y=5/1 - 3

Step-by-step explanation:

use rise over run

15. A 12.5 oz bag of Doritos for $3.79 or a 3 oz bag for $1.00.

Which is the better buy

Answers

Answer: $3.79 for 12.5 oz. is cheaper per ounce than $1.00 for 3oz.

Step-by-step explanation: Without much effort we can see that $ 1.00 for 3 oz $4.00 for 12 oz. but you can get more (12.5 oz.) for less than $4.00 (for $3.79) if you buy 12.5 oz. for $3.79

Algebra 1
i need help answering this

Answers

Answer:

hmm i'm not sure

Step-by-step explanation:

sorry

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