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

Last year, 3,270 athletes finished a marathon in Lancaster. This year, there were 2,616 athletes finishing. What is the percent of decrease in the number of finishers? %

Answers

Answer:

20% decrease

Step-by-step explanation:

2516/3270 = 0.8 or 80%

This means 80% percent of people showed up again from last year

100-80 = 20

So 20% decrease

please help me i dont know what i am doing

Answers

Answer:

answer is 1.2590

Step-by-step explanation:

i hope its help you


Where on the coordinate plane is the point (-85, 52) located?
O Quadrant 4
O Quadrant 2
Quadrant 3
O Quadrant 1
Next >
Previous

Answers

Answer:

quadrant 2 you're welcome :-)

Answer:

Quadrant 2

Step-by-step explanation:

Since the x coordinate is negative, it must in quadrant 2 or 3

Since the y coordinate is positive, it must in quadrant 1 or 2

It must be in quadrant 2

Which of the following numbers are rational, but NOT integers?

Select one or more:

a.√33
b.8.4
c.3/4
d.0

Answers

Answer:

0

Step-by-step explanation:

Zero is a rational number, and we know that the integer 0 can be written in any one of the following forms. ... Thus, 0 can be written as, where a/b = 0, where a = 0 and b is any non-zero integer. Hence, 0 is a rational number and not an integer.

что 900 умножить на 1000000

Answers

Answer:

900,000,000

Step-by-step explanation:

900×1,000,000

=900,000,000

Надеюсь, это помогло тебе, хорошего дня)

need help pleaseㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ​

Answers

the domain is all the real numbers, or (-infinite <x<infinite)

the range is y>=-4

axis of symetry is x= -1

vertex is (-1,-4)

the parabola opens upwards

x intercepts (-3,0) and (1,0)

y intercepts (0,-3)

there are balls between 20 and 40, when Max counts them by 5's there is one left, when he counts it by three he finds 2 balls left, what's the exact number of balls in the box?.

Answers

Answer:

So because the range is between 20 and 40, it can be noticed through counting.

5, 10, 15, 20, 25, 30, 35, 40

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39

The number of balls in the box, just from the information by 5, is either ending in 1 (for example 21, 31) or 6 (26, 36)

From counting by 3 with that information, it would mean the number is most likely 26 balls, since there would be one left when Max reaches 25 counting by 5, and two left when he reaches 24 counting by 3.

You start at (9, 5). You move left 3 units and up 1 unit. Where do you end?

Answers

Hello!

(9,5)

3 units left: (6, 5) (we subtract 3 from the x-coordinate)

1 unit up: (6, 6) (we add 1 to the y-coordinate)

Hope this helps you!

~Just a joyful teen

[tex]SilentNature[/tex]

Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)

Answers

Answer:

x=[tex]\sqrt{220}[/tex]

Step-by-step explanation:

Since this is a right angle triangle, and we have two lengths already found, we can use pythagoras to find x.

We know that  

a²+b²=c²

Where a, and b are the smaller lengths (the adjacent and opposite), and C is always the longest one (the hypotenuse).

In this case,

x=a

b=6

c=16

So to plug these into the equation, we get:

x²+6²=16²

To isolate x,

we get:

x²=16²-6²

x=[tex]\sqrt{16^2-6^2}[/tex]

[tex]x=\sqrt[]{220}[/tex]

>> Answer

_________

[tex] \: [/tex]

x² = 16² - 6²

x² = 256 - 36

x² = 220

x = √220

x ≈ 14.9cm

HELP
In order to isolate the variable term in the equation 6 -2x = -3 using the subtraction property of equality, which number
should be subtracted from both sides of the equation?
-3
3
6
-2

Answers

6 should be subtracted from both sides of the equation if you want to isolate variable term

Which is the correct label of the parallel lines?

Answers

the answer is a || b, or the first option

Solve for x
See the picture for problem! Please and thank you!

Answers

Answer:

x = 9

Step-by-step explanation:

( 17x + 7 )° = ( 13x + 3 )° + 40°

17x + 7 = 13x + 3 + 40

17x - 13x = 43 - 7

4x = 36

x = 9

On average, Carson spends about 26% of his allowance each month on candy and soft drinks. When creating a circle graph of what Carson does with his money, which of the following fractions would be the best to represent how much he spends on food?
Estimate the circumference of a circle that has a diameter of 6 ft.

Answers

Answer: 1/4

Given : On average, Carson spends about 26% of his allowance each month on candy and soft drinks.  

To Find : When creating a circle graph of what Carson does with his money, which of the following fractions would be the best to represent how much he spends on food?

If these are your Choices:

A) 1/4

B) 1/3

C) 3/4

D) 1/2

Solution:

To Convert fraction into % multiply by 100  

 

(1/4) * 100 = 25 %

(1/3) * 100  = 33.33 %

(3/4) * 100 = 75 %

(1/2) * 100 = 50 %

Therefore 1/4 fraction best represent how much he spends on food

An athlete of mass 60 kg running at a velocity of 10 m/s

Answers

Answer:600kgms-1

Step-by-step explanation:

mass *velocity

60*10 =600

Need help asap pls pls pls

Answers

Answer:

bqidhiwodxh

Step-by-step explanation:

627e29302990331 e7894094902

27290[


15. You take a trip to downtown Boston to walk the Freedom Trail with your family. After you walk
through the Bunker Hill Memorial, your family decided to take a taxi to a restaurant for dinner. After 1
mile, the meter on the taxi says $475. It will cost $6.50 to go 2 miles. The cost varies linearly with the
distance that you have traveled (In other words, there is a constant rate of change).

Answers

The constant rate of change is $1.75 :)

This is because when the x value equals 1 the y value equals 4.75. And when the x value equals 2 the y value equals 6.50, so the rate of change is between the 2 y values which is linear so it has a constant rate of change of $1.75.

Given the endpoint (-4,5) and midpoint (-8, 8), what is the other endpoint?

Answers

Answer: the endpoint is going to be  (-12,11)

Step-by-step explanation: sorry if it wrong

1. Determine the lowest common multiple of 4, 9 and 12
A. 30
B. 36
C. 48
D. 54

2. Simplify 80g : 16kg
A. 4 : 5
B. 3 : 4
C. 2 : 7
D. 1 : 20

3. How many square-shaped tiles with sides of y cm that are required to cover 15y × 4y floor?
A. 60
B. 64
C. 72
D. 86

4. Puan Anis bought 8kg of beef which cost RMx per kilogram. She paid with 2 pieces of RM50 note and received a balance of RM4. Find the value of x
A. 12
B. 14
C. 16
D. 18

5. Find the circumference of a circle with radius of 21 cm
A. 66
B. 44
C. 63
D. 132

6. Anita has RMb. She spent RM(2a + 1) per day for a week. Given the balance of her money is RM45, find a formula for b
A. 2a + 46
B. 14a - 38
C. 14a + 45
D. 14a + 52

7. Given 9x²/y² - 3x = 5w, express y in terms of w and x
A. y = x/5w+x
B. y = 3x/5w+3x
C. y = 3x²/5w+3x
D. y = 3x/5w+x

I NEED ANSWERS FOR THESE QUESTIONS TQ :)​

Answers

Answer:

a,b,d,d,c,a,a

Step-by-step explanation:

Just give me an answer please

Answers

Answer:

Step-by-step explanation:

option 2, gl

Answer:

A and C

Step-by-step explanation:

Given m||n, find the value of x.
т
Rt
>m
(2X-22)
(5x-8)°
>

Answers

Given angles are supplementary.

[tex]\\ \sf\longmapsto 2x-22+5x-8=180[/tex]

[tex]\\ \sf\longmapsto 7x-30=180[/tex]

[tex]\\ \sf\longmapsto 7x=180+30=210[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{210}{7}[/tex]

[tex]\\ \sf\longmapsto x=30[/tex]

Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)

Answers

Answer:

X = [tex]\sqrt{21}[/tex] or 4.5825756...

Step-by-step explanation:

[tex]A^{2} + B^{2} = C^{2}[/tex]

[tex]10^{2} + x^{2} = 11^{2}[/tex]

[tex]x^{2} = 11^{2} - 10^{2}[/tex]

[tex]x^{2} =121-100[/tex]

[tex]x^{2} =21[/tex]

x = [tex]\sqrt{21}[/tex]

Hope this helps!

>> Answer

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

Step by step :

x² = (11)² - (10)²

x² = 121 - 100

x² = 21

x = 4,6

Relationship B has a greater rate than Relationship A. This graph represents Relationship A.Which equations could represent Relationship B?Select each correct answer.y = 2.2xy = 3xy = 1.4xy=12x

Answers

Answer:  

y = 3x

y = 2.2x

y=1/2x

Step-by-step explanation:

i did the test thank me later

What multiplied to -24 and adds to -10?

Answers

Answer:

6 × 4 = 25

6 + 4 = 10

hope this helps

Answer:

Step-by-step explanation:

x * y=-21

x+y =-10

we use elimination method to solve

x * y = -21

x + y = -10

x = -11

then replace the y s with -11

x * y = -21

x * -11 =-21

x *-11 + -11 = -21+-11

x = -32

x + y = -10

x +-11 = -10

x + -11--11 = -10--11

x + 0 = -10+11

x = 1

x =1

y = -11

there were a total of 35 football games in the season the season is played for five months how many football games were played each month if each month has the same number of games​

Answers

Answer:

7

Step-by-step explanation:

35/5=7

Hope this helps!

Answer: We know that there is 35 games per season and is played throughout 5 months. If in each month the same number of games were played we would have to do 35/5 which is equal to 7. To check your work you can do 5 times 7 which is 35. Remeber opposite of division is multiplication and opposite of multiplication is division. SO, your answer is 7 football games per month.

Step-by-step explanation:

Hope this helps, if you are struggling with math you can use these sites:

khan academy

math nation

and many more free sites to learn math!

13 can someone please explain this

Answers

Answer:

8.

Step-by-step explanation:

13).

This is an equilateral triangle.

We see that all 3 angles are equal,  so all sides are equal also.

So 2x - 6 = 10

2x = 16

x = 8.

Answer:

Step-by-step explanation:

If I am correct the triangle has equal sides and I think you're trying to find x. So 10=2x-6 and then solve. Once you get the x (assuming you know how to get it) plug it into the equation (of 2x-6) and get the remaining number. (For example: if x=2 then 2x2-6, then you solve: 2x2=4 4-6=-2) I don't know if you want the answer though...

(depends if you want x or the rest)

Help I will mark brainliest

Answers

Answer:

350

Step-by-step explanation:

Multiply all the sides by each other. This is a triangular prism so the base, you divide by 1/2. So:

A = 7 * 10 * 10

A= 7 * 5 * 10.

(You divide the ten on the bottom)

7*5 = 35

35*10 = 350

Answer:

240

Step-by-step explanation:

The surface is the sum of the sides (all 4 equal) plus the base.

A = 4(1/2B * H) + B**2

A = 4((1/2 * 10) * 7) + 10 * 10

A = 4(5 * 7) + 100

A = 4 * 35 + 100

A = 140 + 100

A = 240

When Zack checked his solution, it didn’t work. What was his mistake?
In step 1, he should have used the multiplication property of equality.
In step 2, he should have a constant of – 4 on the right side.
In step 3, he should have divided both sides by StartFraction 6 Over 4 Endfraction.
In step 4, the answer should be positive.

Answers

Answer: its c In step 3, he should have divided both sides by  StartFraction 6 Over 4 Endfraction.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

hey uhm can someone answer this for 12 points

Answers

[tex] \frac{0.2x - 3.2}{5} = 1.8 \\ 0.2x - 3.2 = 1.8 \times 5 \\ 0.2x - 3.2 = 9 \\ 0.2x = 9 + 3.2 \\ 0.2x = 12.2 \\ x = \frac{12.2}{0.2} \\ \boxed{ x = 61}[/tex]

The answe is x=61 because x=61

if the angles of a triangle are in the ratio 2:3:5,find them

Answers

Answer:

Ratios are 2:3:5 given. So, 2*X+3*X+5*x=180° — sum of three angles of a triangle. So, X=18°. Hence angles are 36° , 54° and 90°

Please give brainiest

5-7/8 reduced to its lowest from

Answers

Answer:

4 1/8

Step-by-step explanation:

subtracting a whole number with a fraction just means I have to change one of the numbers so they match with the other.

meaning I should change the whole number 5 to a fraction.

I will use the bottom number to figure out what the fraction in the whole number should look like.

5 = 5/1

I want the bottom number to be 8 like the other fraction 7/8

I multiply the top and bottom number of 5/1 by 8, giving me

40/8

now I subtract 40/8-7/8 = 33/8 or 4 and 1/8

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