Prove algebraically that the square of any number is always 1 more than a multiple of 8

Answers

Answer 1

Answer:

This is interesting but I don't think it's provable (unless it's just the square of odd numbers).

3² = 9, which is 1 more than a multiple of 8  (8)

4² = 16, which is not 1 more than a multiple of 8  (8)

5² = 25, which is 1 more than a multiple of 8  (24)

6² = 36, which is not 1 more than a multiple of 8  (32)

7² = 49, which is 1 more than a multiple of 8  (48)

8² = 64, which is not 1 more than a multiple of 8  (64)

9² = 81, which is 1 more than a multiple of 8  (80)

10² = 100, which is not 1 more than a multiple of 8  (96)


Related Questions

Which of the following is the standard form of (x-7)2 + (y +1)2 = 16?

Answers

Answer:

[tex](x - 7) {}^{2} + (y + 1) {}^{2} = 16 \\ this \: is \: an \: equation \: of \: circle \\ ( {x}^{2} - 14x + 49) + ( {y}^{2} + 2y + 1) = 16 \\ {x}^{2} + {y}^{2} - 14x + 2y + 50 = 16 \\ {x}^{2} {y}^{2} - 14x + 2y + 34 = 0[/tex]

hey can you help me fast!!

Answers

Answer:3.5 Hope this helps

Step-by-step explanation:

Answer:

-3.5

Step-by-step explanation:

I got it correct.

Problem 5
NEED HELP ASAPAPAPAPPA PLSSS

Answers

Answer:

Well, I got the answer ofy=-x+1 as -3,-7, 0,-4, -1,-5 and also the second one is 3x=y/2 the answer of the solutions is 0.5,3 ,1,6 ,1.2, 7.2

(Thats all I have sorry -____-)

Step-by-step explanation:

Which of the following polynomials does not have real roots?
A. x2 + x-2
B. 12x2 - 17x- 7
C. x + 5x + 6
D. x2 + x + 2

Answers

I think its Cthe anser that what i think dgeve

PLEASE HELP!!!
Give an example showing why one of the methods is not correct.

Answers

Answer:

Brandon's methot is not correct

for example: x=9 9×1/2=4.5

Answer: Brandon's method is not correct

Here's why:

Let's use his method to find the square root of 36. That means we multiply 36 by 1/2 = 0.5 to get 36*0.5 = 18; however, 18 is not the square root of 36. We can see that 18*18 = 324. Instead, the square root of 36 is 6 because 6*6 = 36.

As another example, let's say we want to find the square root of 64. With Brandon's method, we would get to 64*0.5 = 32, but 32*32 = 1024. Ashley's method is correct and 8*8 = 64 shows that 8 is the square root of 64.

As a visual approach, think of a square with side lengths 8 feet each. The area would be 8*8 = 64 square feet. If you didn't know the side length, but you knew that the area was 64 square feet, then you could apply the square root operation to find the side length to be 8 feet (or you could effectively use Ashley's guess-and-check method to arrive at 8 feet). In short, the square root operation is the opposite of squaring a number. We consider these inverse operations.

Multiplying by 1/2 is the same as dividing by 2. Division is the opposite of multiplication, and division is not the inverse of squaring a number. It's just a coincidence that Brandon's method happened to work on the value 4. But as shown earlier, it doesn't work in general.

Mackenzie made 38 of 50 free throws. What is the
experimental probability that Mackenzie will NOT
make the next free throw she attempts?
A- 6/25
B- 12/25
C- 19/25
D- 21/25

Answers

A I believe because Against the odds of 38/50 would be 12/50 that is not an option so split in half this would be A cause its an equivalent fraction

Check Your Understanding Are you more likely to win a random drawing if you crinkle the paper that contains your name before putting it into the drawing box? A curious student conducted a study to investigate. The student took 100 equal sized slips of paper and crinkled 25 of them before putting them all into a box. After mixing well, they asked an uninformed person to select a winner at random. The student noted if the slip was crinkled. The slip was returned to the box, mixed well, and asked another uninformed person to select a winner at random. This process was repeated 10 times. Let Y = the number of times that a crinkled paper was selected.

Answers

Answer: hello your question to the given scenerio is missing below is the missing question

question:  Does this setting represent a Binomial distribution ?

answer : Yes the setting represents a Binomial distribution

Step-by-step explanation:

The setting represents a Binomial distribution, because the criteria's for a Binomial distribution is all present which are

The random variable ( number of times a crinkled paper is picked ) is represented as Y Each sample is drawn independently and with replacement there are only two outcomes ( success or failure )Number of trials is given as  10 probability of success = 25 / 100 = 0.25

yes, this setting represent the binomial distribution.

Given that,

The student took 100 equal sized slips of paper and crinkled 25 of them before putting them all into a box.

After mixing well, they asked an uninformed person to select a winner at random.

We have to determine,

Does this setting represent a Binomial distribution.

According to the question,

Let Y = the number of times that a crinkled paper was selected.

The setting represents a Binomial distribution, because the criteria's for a Binomial distribution is all present .

These are the points which represents the given representation is a binomial distribution.

The random variable ( number of times a crinkled paper is picked ) is represented as Y.

Each sample is drawn independently and with replacement.

There are only two outcomes ( success or failure ).

Number of trials is given as 10 times repeated.

The probability of the success,

        [tex]Probability\ of \ success = \dfrac{25}{100} = 0.25[/tex]

Hence, yes this setting represent the binomial distribution.

To know more about the Binomial distribution click the link given below.

https://brainly.com/question/23413408

HELPPPPPP!!!!Will (-2)2 and -22 have the same solution?
Why or why not?

Answers

Answer:

Yes they would be because 2^2 or 2x2 =4 and -2^2 or -2x-2 also equals four because a neg x a neg equals a pos

Step-by-step explanation:

PLEASE HELP ME AGAINNN

Answers

B.The mode. Because the mode is 7 dollars. It is even lower the average.

Which set of side lengths or angle measures can be used to construct a triangle A. 50 inches, 90 inches, 35 inches B. 60 inches, 25 inches, 95 Inches C. 45,45,80 D. 60, 45,75

Answers

Answer:

D. 60, 45,75

Step-by-step explanation:

For options C and D

For a triangle the sum of the angles must always be equal to 180 degrees

So 180 ≠45+45+80

and

60 +45+ 75= 180

For option A and B

The length of the longer side is equal to the square root of the sum of squares of the other two sides in a triangle.

According to Pythagorus theorem

hypotenuse²= base² + perpendicular²

c²= a²+ b²

90²= 50² + 35²

8100= 2500+1225

8100≠3725

95²= 60²+ 25²

9025= 3600+ 625

9025≠4225

Therefore only D is the correct option

edgeunuity question for geometry HELPPP

Answers

Answer:

obtuse angleacute angle

Step-by-step explanation:

mp is greater than 90°but less than 180°it's less than 90°

The ratio of the side lengths of two similar smartphones is 4:3. The area of the front of the larger smartphone is 8 inches. What is the area of the smaller smartphone?

Answers

Answer:

7

Step-by-step explanation:

4 : 3

8 : 7

When a farmer harvests apples he expects 6% of the apples to be rotten how many apples would the farmer expect to be rotting when harvesting apples

Answers

The question is incomplete had the number of harvested apples isn't given.

Answer:

0.06n

Step-by-step explanation:

When a farmer harvests apples he expects 6% of the apples to be rotten how many apples would the farmer expect to be rotting when harvesting apples

The expected percentage of rotten apples when harvesting = 6%

The expected number of rotten apples can be obtained by taking the product of the expected percentage and the number of apples to be harvested.

Since the number of harvested apples isn't given,

Let the number of harvested apples = n

Therefore, the expected number of rotten apples will be :

6% * n

0.06n

Note : you can easily substitute the actual number of harvested apples for n in the equto get the actual answer

PLEASE HELP, I WILL GIVE BRAINLIEST FOR THE CORRECT ANDWER!!!!!

Answers

Answer: E

Step-by-step explanation:

You have to add 2 to the other side and shade to the left because it’s less than 18.

Answer:

Letter E

Step-by-step explanation:

To solve this, all you need to do is add two to both sides to isolate the x, and that will result in x ≤ 18. In a number line, it is a closed circle (because it has the line below the sign), and it points to the left because it is less than or equal to.

answer for brainliest and 10 points

Answers

Answer:

It is rational because 121 is a perfect square.

Suppose 1/4 of students in your school were trying out for a spring sport. How many students would you have to select randomly, in order to get 15 students who were trying out for a spring sport?

Will give brainlist!
NO LINKS

Answers

Answer:

I need help with this question too

Step-by-step explanation:

Whats the área and circumference of a circle if the radius is 6in?

Answers

Answer:

C≈37.7in

Step-by-step explanation:

Answer:

Hello!

Area: 113.04

Circumference: 37.68

Hope this helps

Fuel for an outboard motor has a gas to oil ratio of 50:1. How much oil is needed for 25.5L of gas?

Answers

Answer:

The oil needed is 0.51.

Step-by-step explanation:

Since you know that the gas to oil ratio is 50:1 and you have to find the oil needed for 25.5L of gas, you can write the numbers in the ratio as a fraction and let's consider that x is the amount of oil needed:

[tex]\frac{50}{1} = \frac{25.5}{x}[/tex]

Now, you have to solve this using cross multiplication:

50*x=25.5*1

50x=25.5

Finally, your have to isolate the variable x:

x=25.5/50

x=0.51

According to this, the answer is that the oil needed is 0.51.

please help me

giving brainliest

Answers

The answer is 76
Cheating on your test huh oooo I’m tellin:)

Hello struggling with this question. I need to know what are intervals in math. Please answer the question with the image.

Answers

Answer:

b

Step-by-step explanation:

When you see things that move at a non linear rate, it means that it is not a straight line. Automatically, you can eliminate A and D because the lines there between those numbers are straight. Now we have two non linear lines left and there is only one that is decreasing (going down and it is the line between -2 and 0.

Hope this helped :)

What is the slope ??

Answers

Answer:

4.5

Step-by-step explanation:

Answer: 3/2

Step by step:

help me im adding and subtracting integers plssss 40 points!!!!!! for it

Find each sum.

8 + (-1) + (-6) + 5

- 2 + 6 + (-3) + (-4)

Use a number line to find each difference.

7 - 4

3 - 8

- 2 - (-3)

- 1 - (-1)

- 4 - 3

81 - 106

43 - (-21)

- 25 - (-57)

17 - 18 - (-81)

- 18 - 13 - 12

23 - (-18) - (-54)

16 - 28 - (-38)

Answers

Answer and Step-by-step explanation:

Simply just adding and subtracting.

8 - 1 - 6 + 5 = 6

-2 + 6 - 3 - 4 = -3

-- 4 is 3 away from 7. The answer is positive 3.

-- The answer is negative 5.

-- The answer is positive 1.

-- The answer is 0.

-- The answer is negative 7.

-- The answer is -25.

-- The answer is 64.

-- The answer is 32.

-- The answer is 80.

-- The answer is -43.

-- The answer is 95.

-- The answer is 26

#teamtrees #PAW (Plant And Water)

If P = -4,3 and Q = 2,1 are the endpoints of the diameter of a circle, find the equation of the circle. Help pls :/ 30 points!!

Answers

Your answer is
(X+1)^2+(y+1)^2=13

Antoinette Applied for a $6000 loan, which she will start paying back after the interest has accumulated. She had a initial offer for a simple annual interest rate of 6% for three years, but decided to consider other options. Which of the following options of all the crease the interest she pays the most?

F. $5500 loan, simple interest, annual rate of 6%, term of three years

G. $6000 loan, simple interest, annual rate of 5.75%, term of three years

H. $6000 loan, simple interest, annual rate of 6%, term of 2.8 years

J. $5500 loan, compound interest, annual rate of 6%, term of three years

Please Help

Answers


J. $5500 loan, compound interest, annual rate of 6%, term of three years

Please help i know this is kind of easy but I am having a hard time with it unfortunately​

Answers

Answer:

x=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

if x^3 is = 8, then

x= ∛8

∛8 = 2

x=2

to check

2*2*2= 8

Can someone help me with this??? Please I don’t understand

Answers

Answer:

You need to use the angles as a waypoint such as the one opposite b is equal to b then you need to use the angles on a straight line

Step-by-step explanation:

Answer:

∠A= 111.75°

Step-by-step explanation:

Please see the attached picture.

∠B +∠C= 180° (adj ∠s on a str. line)

(x +35)° +∠C= 180°

∠C= 180° -(x +35)°

∠C= 145° -x°

∠A= ∠C (corr. ∠s)

∠A= 145° -x°

Given that ∠A is (3x +12)°, equate this expression to the expression we found.

145° -x°= 3x° +12°

3x° +x°= 145° -12°

4x°= 133°

x°= 133° ÷4 (÷4 on both sides)

x°= 33.25°

Substitute the value of x back into the expression for ∠A:

∴∠A= 3(33.25°) +12°

∠A= 111.75°

balance C4H6O3 + H2O −−→ C2H4O2

Answers

Answer:

solution given:

balanced: C4H6O3 + H2O −−→2 C2H4O2

When three squares are joined at their vertices to form a right triangle, the combined area of the two smaller squares is the same as the area of the largest square. Which three squares will support this statement?

Answers

Answer:

J

Step-by-step explanation:

Area of a square = L x W

F:

(5 x 5) + (4 x 4) = 81

25 + 16 = 81

41 = 81  INCORRECT =( X

H:

64 + (5 x 5) = (13 x 13)

64 + 25 = 169

89 = 169 INCORRECT =( X

G:

(6 x 6) + (5 x 5) = (7 x 7)

36 + 25 = 49

61 = 49 INCORRECT =( X

J:

144 + (5 x 5) = 169

144 + 25 = 169

169 = 169  CORRECT =)

Will give brainliest!!!

Answers

Answer:

A)36

B)100

F)25

hope it helps.

Answer:

A = 36=6²

B = 100=10²

F = 25 =5²

those are the perfect square

hope it is helpful to you

hey another one so sorry T^T

Answers

Answer and Step-by-step explanation:

-6 and -10 are the answers.

This is because these numbers are less than -5, so they would work when plugged in for h in the inequality.

#teamtrees #PAW (Plant And Water)

Answer:

-6 and -10

Step-by-step explanation:

-6 and -10 are both less than -5, hope this helps :)

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