Can you help please?

a. Assume a is even, so a = 2k for some integer k. Now let a and b be integers such that a divides b and a + b is odd.

Since a divides b, b = an for integer n, and in turn b = 2nk, which means b is even and hence a + b is also even. But this contradicts our initial assumption, so a must be odd.

b. Let n be even, so that n = 2k for some integer k. Then

n² = (2k)² = 4k²

so that n² ≡ 0 (mod 4).

Now let n be odd, so n = 2k + 1 for integer k. Then

n² = (2k + 1)² = 4k² + 4k + 1

so that n² ≡ 1 (mod 4).

Therefore n² is never congruent to 2 (mod 4).

Answer

158 with a remainder of 5 ( also expressed as 953/6 OR 158.333333333333)

Step-by-step explanation:

I wasn't sure if you wanted a fraction, so I put two forms of the answer.

Answer:

4(v-1)

Step-by-step explanation:

the answer is 4(V-1)

Answer:

the answer is 4(v-1)

Answer: 1

Step-by-step explanation:

12-8=4

12-8=4

4 over 4 is 1

if it perpendicular then it's the opposite reciprocal

hope that help

Answer:

E

Step-by-step explanation:

Answer:

The function is negative for all real values of x where

-6 < x < -2.

Step-by-step explanation:

f(x) = (x +2)(x + 6)

 x + 2 = 0    or   x + 6 = 0

x = -2     or x = -6

 After graphing the function is negative between -6 < x < -2

The true statement about the graph is (a) The function is negative for all real values of x where -6 < x < -2.

The equation of the function is given as:

[tex]f(x) = (x + 6)(x + 2)[/tex]

From the graph, we have the following highlights

The above means that:

The function is negative for all real values of x where -6 < x < -2.

Hence, the true statement about the graph is (a)

Read more about quadratic graphs at:

https://brainly.com/question/7988424

Using the concept of place value, the digit 4 is 200 times greater than the digit 2.

Given the number :

The digit 2 is in the tens place = 2 × 10 = 20

The digit 4 is in the thousand place = 4 × 1000 = 4000

The number of times greater can be obtained thus :

Hence, the digit 4 is 200 times greater than the digit 2.

Learn more : https://brainly.com/question/14760328

Answer: 63 votes

Step-by-step explanation:

Simply multiply 81 by 7/9 to get the answer, 63 votes.

Hope it helps :) and let me know if you want me to elaborate.

63

Step-by-step explanation:

(7/9) x 81 = 63

Answer:

30x t 78

Step-by-step explanation:

Answer:

C. 11

Step-by-step explanation:

This can be rewritten as

23 - 12

This is equal to 11.

Answer:

11

Step-by-step explanation:

-12 + 23 = 11

since the 12 is negative subtract it from 23 and you get 11 as your answer

Answer:

Its C (Third Multiple Choice Answer)

Step-by-step explanation:

The reason being that x + 1 / 2 (6x - 4) = 6 is the way it is instead of the first step being x + 6x / 2 - 4 / 2 = 6 is because it is using legal manipulation by multiplying the 1 / 2 out.

Math:

First

2 * (x + 1 / 2 (6x - 4) = 6 * 2 [In this case the x gets multiplied by 2 and multiplies 2 to the other side as well. The reason why it isn't a Distributive Property in the first place is because we are using multiplication only and the equation is not 1 / 2 (6x - 4).

Then

2x + 6x - 4 = 12 will then equal to 8x - 4 = 12 which is adding like terms

Thirdly

(+ 4) + 8x - 4 = 12 (+ 4) [The parenthesis is to identify that the 4 is positive]

will then turn into 8x = 16

Finally

By dividing 8 on both sides of the previous equation

8x / 8 = 16 / 8 equaling x = 2.

Answer:

The answer is D.

Step-by-step explanation:

Radius is half of diameter. So the radius of the circle is 6 in.

The formula for getting the area of circle is:

A = π[tex]r^{2}[/tex]                                π = 3.1416

A = (3.1416)(6)[tex]^{2}[/tex]

A = (3.1416)(36)

A = 113.09 square inches

Step-by-step explanation:

13.

oh, come on !

you never had and solved the situation "one piece costs that much, how much will be 2 or 5 or 10 of them ?"

it is a simple multiplication.

and hence the answer B.

the first hint is already in the table with 1 pizza costing $5.25.

2 pizzas are then 2×$5.25, 3 pizzas 3×$5.25, ...

so, the cost c = number of pizzas × $5.25

or short

c = p×5.25 or 5.25p

14.

the domain is the interval or set of valid values for the input variable (x) of a function/relation.

and the range is the interval or set of valid values for the result variable (y) of a function/relation.

so, the domain is the set {-3, -1, 0, 1, 3}.

and the range is the set {-4, 0, 2, 4}.

In mathematics, a function is a binary relation between two intervals or sets that associates each element of the first interval/set (domain) to exactly one element of the second interval/set (range).

and that's what is done here.

it is a function.

each value of x is associated exactly with 1 result value of y.

a y value can be associated with more than one x value - no problem.

but no x value can have more than one associated y value - otherwise that would break the principle of a function.

Answer:

twice the difference gives 2(difference). 7 = 14  20 = 40

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

It is an arithmetic sequence since it has a common difference which is 13.

78-65 = 13

65-52 = 13

52-39 = 13

39-26 = 13

Answer:

60.5in

Step-by-step explanation:

32(2) - 3.5 = 60.5

Answer:

HERES ALL THE QUIZZES ANSWERS!

Question One/1:

9.5(w+5.7)=77.9

Question Two/2:

The scuba diver is 27 feet below sea level.

Question Three/3:

25.50

YOUR QUESTION: Question 4:

60.5 inches (in)

Question Five/5:

58 3/4 (mi)

Step-by-step explanation:

k12

MATH,

MIDDLE SCHOOL,

7TH GRADE,

HALFWAY.

YOU'RE SO WELCOME!

sorry, caps lol.

PHOTOS TOO!

(Crown?)

(i appreciate it!)

Thanks, bye!

Answer:

1. 3 and 1/5 improper: 11/15

2. 3 and 3/4 improper: 15/16

3. 1 and 2/3 improper: 5/6

4. 2 and 1/2 improper: 5/6

5. 3 and 2/10 improper: 32/40

6. 3 and 3/9 improper: 30/36

7. 1 and 2/6 improper: 8/12

A relationship between two expressions or values that are not equal to each other is called 'inequality. inequality 53(2x + 2) – 10 ≥ 2x + 2(23x + 2)  is x≥-92/58.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is

53(2x + 2) – 10 ≥ 2x + 2(23x + 2)

Apply the distributive property

106x+106-10≥ 2x + 46x+4

Add the like terms

106x+96≥ 48x+4

Take all common variables on one side

106x-48x≥4-96

106x-48x is 58 and 4 minus 96 is minus 92.

58x≥-92

x≥-92/58

Hence inequality 53(2x + 2) – 10 ≥ 2x + 2(23x + 2)  is x≥-92/58.

To learn more on Inequalities click:

https://brainly.com/question/28823603

#SPJ5

Answer:

the median of 0 1 2 3 16 38 34 12 is 9.5

A

Step-by-step explanation:

just trust me that is the correct answer

Answer:

Sorry don't report pls I need the points

Step-by-step explanation:

Answer:

i think its 200

Answer:

200people

Step-by-step explanation:

Answer: 15.00 units

Explanation: When we know the horizontal and vertical distances between two points we can calculate the straight line distance like this: distance = √ a2 + b2

Answer:

(a.)

Step-by-step explanation:

(we talked abt it in the comment haah)

The formula for determining the mean from the probability distribution table is expressed as mean = summation(x * P(x))

Thus, we have

x | p(x) | xp(x)

3 | 0.14 | 0.42

6 | 0.05 | 0.3

9 | 0.36 | 3.24

12 | 0.35 | 4.2

15 | 0.10 | 1.5

Mean = 0.42 + 0.3 + 3.24 + 4.2 + 1.5 = 9.66

The last option is correct.

[tex]Hiya![/tex]

Sokka is here to help!!

Here's the step:

[tex]x^2+1-3\frac{In(x)}{x}[/tex]

[tex]Mutiply[/tex] [tex]by:[/tex] [tex]3[/tex]

[tex]. \frac{In(x)}{x} :\frac{3In(x)}{x}[/tex]

[tex]= x^2+1-\frac{3In(x)}{x}[/tex]

ANSWER:

[tex]= x^2+1-\frac{3In(x)}{x} .[/tex]

Hopefully, this helps you!!

[tex]Sokka[/tex]

Answer:

About 11.025

Step-by-step explanation:

[tex]\sin{58^\circ}=\dfrac{x}{13}\\\\x=13\cdot\sin{58^\circ} \approx11.025[/tex]

Answer:

85%

Step-by-step explanation: