Samantha makes a conjecture that the product of two odd integers is always an odd integer. Which choice is the best proof of her conjecture? CLEAR CHECK Look at these different examples: 7 × 3 = 21, 5 × 9 = 45, 11 × 3 = 33. So the product of two odd numbers must be odd. Every time you multiply two odd numbers, the product is an odd number. Let (2a + 1) be an odd number. Let (2b + 1) be another odd number. The product 2(2ab + a + b) + 1 is a multiple of 2 plus 1, which is an odd number. Let a and b both represent odd numbers, and let a × b be an odd number. Therefore, a × b = b × a, which shows that the product of two odd numbers is odd.

Answers

Answer 1

Answer:

Let (2a + 1) be an odd number. Let (2b + 1) be another odd number. The product 2(2ab + a + b) + 1 is a multiple of 2 plus 1, which is an odd number.

Step-by-step explanation:


Related Questions

10z + 3 =9z solve for z

Answers

z=-3

Step-by-step explanation:

Answer:

z = -3

Step-by-step explanation:

10z + 3 = 9z

10z + 9z - 3

10z - 9z = -3

z = -3

(3 + 81)(3 - 81) =
DONE
h

Answers

Answer:

-6552

Step-by-step explanation:

First do 3+81 = 84 then 3-81 = -78. Then multiply them together to get -6552

Answer:

(3 + 81)(3-81)=9-6561

Stepby-step explanation:

Help it due ASAP........

Answers

Answer: C. ∠5 and ∠6

Step-by-step explanation:

They are linear pairs meaning they form a straight line.

Angles that form a straight line are ALWAYS supplementary (they add up to 180°)

Hope this helped!

PLEASE HELP ITS DUE IN % MINUTES PLEASE

Find the percent of change. Round to the nearest tenth, if necessary.

The Smith's home was worth $102,500 in 2013 and $111,000 in 2014.

Answers

Answer:

I think the percent of change would be 850000%,

Step-by-step explanation:

You would do 111,000 - 102,500 to find the amount of leftover money. This equals 8,500, which would be 850000% in percentages.

Solve the perimeter formula for an isosceles triangle, P = 2a + b for a.


a = P + 2b



a = P – 2b

Answers

Answer:

The solution for a is a =  [tex]\frac{P-b}{2}[/tex]

Step-by-step explanation:

To solve an equation for one of its variables, do that

Separate the term of this variable on one side and the other terms on the other sidesMake the coefficient of the variable equals1 (if it is not 1)

Let us solve the question

∵ The perimeter formula for an isosceles triangle is P = 2a + b

∵ We need to solve it for a

→ By using the first step above, subtract the two sides by b to move it

    from the right side to the left side

∵ P - b = 2a + b - b

P - b = 2a

→ By using the second step above, divide both sides by 2

∵ [tex]\frac{P-b}{2}[/tex] = [tex]\frac{2a}{2}[/tex]

∴  [tex]\frac{P-b}{2}[/tex] = a

→ Switch the two sides

∴ a =  [tex]\frac{P-b}{2}[/tex]

The solution for a is a =  [tex]\frac{P-b}{2}[/tex]

Which of the following equations represents a proportional relationship?
OA.
y = -4.50 + 6.25
OB.
I = 4.5
OC.
y = 6.25
OD.
y
= -4.5

Answers

Answer:

Step-by-step explanation:

OA.

y = -4.50 + 6.25

OB.

I = 4.5

OC.

y = 6.25

OD.

y

= -4.5

The tables correspond to two lines in the coordinate plane.What is the X- coordinate of the solution of the two lines? hint:what point is the same?

Answers

Answer:

2

Step-by-step explanation:

when x=2, both lines have a y of -4

Solve by the substitution method. 8x + 9y=56 -9x + y = 26​

Answers

Answer:

(-2,8)

Step-by-step explanation:

8x + 9y=56

-9x + y = 26​

---------------------------------------------------------------------------------

-9x + y = 26​

    +9x = +9x

y = 9x + 26

---------------------------------------------------------------------------------

8x + 9(9x+26) = 56    <-- substitute for y from above

8x + 81x + 234 = 56

      89x + 234 = 56

               - 234 = - 234

                  89x = - 178

                      x = -2        <--- we got the x value!!

--------------------------------------------------------------------------------

-9x + y = 26​

-9 (-2) + y = 26    <-- substitute for x from above

18 + y = 26

   - 18 = - 18

      y = 8    <-- we got the y value!!

Which graph represents the function r(x) = |x – 2| - 1​

Answers

Answer:you diddnt attach a graph but it woul have a stating pooint of positive 3 and a slove of up one over 1  so 1/1 +3

Step-by-step explanation:

PLEASE HELP ME NOT TOO HARD
Mary has to spend $12000 on expenses each year. If that amount of money is 20% of her salary, then how much money does Mary make working as an engineer per year?
ALSO PLEASE LEAVE A STEP BY STEP EXPLINATION TY

Answers

Answer:

Total salary = $60,000

Step-by-step explanation:

Well I'm just going to make this short and easy... ok?

12,000=20%

20%x5 = 100%

hmmmm....

12,000 x 5 = ???

Answer = $60,000

Anne is playing golf. On the first tee, she hits a slow shot down the Y = x -0.0 4X squared, we are why is the balls hide in the air and eggs is a horizontal distance in his drawer from the tea. The distance or measured in feet how far from the tea does the ball hit the ground

Answers

Answer:

25 ft

Step-by-step explanation:

The path of the golf ball is given by the equation.

[tex]y=x-0.04x^2[/tex]

The point on the ground where the ball will land on the ground is the point where [tex]y=0[/tex].

[tex]x[/tex] is horizontal distance

So

[tex]0=x-0.04x^2\\\Rightarrow x(1-0.04x)=0\\\Rightarrow 1-0.04x=0\\\Rightarrow x=\dfrac{1}{0.04}\\\Rightarrow x=25[/tex]

So, the ball will land 25 ft away from the tee.

Luke goes to summer camp with $45 in spending money. The amount of money he has left after n days at camp is modeled by the recursive function f(n) = f(n-1)-7. Modify the explicit function, and simplify it to slope-intercept form.​

Answers

Answer:

Please mark as Brainliest :)

Step-by-step explanation:

Answer:

Sample Answer

Step-by-step explanation:

Please Help, I need to answer this ASAP and will automatically give brainliest

Answers

Answer:

12 and 18

Step-by-step explanation: since i helped can i have brainlist please :D

Pls help, I know the answer but what I wrote in the box isn't correct
How do I show the answer?

Answers

Answer:

AC=11.38 cm

Step-by-step explanation:

The Law of Cosines

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

[tex]c^2=a^2+b^2-2ab\cos x[/tex]

The figure shows two triangles and we are required to calculate the length of the side AC, knowing two sides and the angle between them. Thus, applying the formula:

[tex]AC^2=17^2+13^2-2*17*13*\cos42^\circ[/tex]

[tex]AC^2=289+169-442*0.7431[/tex]

[tex]AC^2=129.53[/tex]

[tex]AC=\sqrt{129.53}[/tex]

AC=11.38 cm

What is the product of d – 9 and 2d2 + 11d – 4?

2d3 – 7d2 – 103d + 36
2d3 – 7d2 – 95d + 36
2d3 + 7d2 – 95d + 36
2d3 + 7d2 – 103d + 36

Answers

Answer:

A.

2d3 – 7d2 – 103d + 36

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

If f(x) = 3x-2, find f(8) - f(5)

Answers

Answer:

9

Step-by-step explanation:

f(8)=3(8)-2=22

f(5)=3(5)-2=13

22-13=9

Answer:

f(8) - f(5) = 9

Step-by-step explanation:

So our function is:

f(x) = 3x - 2

Therefore, f(8) becomes:

f(8) = 3(8) - 2 = 24 - 2 = 22

And f(5) is:

f(5) = 3(5) - 2 = 15 - 2 = 13

Finaly, f(8) - f(5) is therefore:

22 - 13 = 9

So f(8) - f(5) = 9

Hope this helps!

The volunteers at a high school football team's concession stand are trying to decide on the price of the hot dogs they are selling. When they charge $2 for a hot dog, they sell an average of 70 hot dogs per game. With every $1 increase in the price, the number of hot dogs sold per game decreases by 8. The volunteers can calculate the revenue earned from selling the hot dogs at each game using the expression -8x2 + 54x + 140, where x is the number of $1 increases in price.

Answers

Answer:

The constant term in the polynomial is 140 and it represents the revenue when the price is not increased.

Step-by-step explanation:

To find: What is the constant term in the polynomial expression, and what does it represent?

The given expression is [tex]-8x^2 + 54x + 140[/tex].

To find the constant term we can simply put x=0 in the given equation where x represents the number of $1 increase in price.

=[tex]-8(0)^2 + 54(0) + 140[/tex]

=[tex]140[/tex]

The constant term is 140 and it represents the revenue when the cost of a hot dog is $2.

Hence, the constant term in the polynomial is 140 and it represents the revenue when the price is not increased.

If you could help I would really appreciate it, but if not that’s fine. Thank you.

Answers

since 4 is between 2 & 5 you input it into the middle equation.

x=4

so the answer is 4!

Write an equation in slope-intercept form for the line with slope 7 and y-intercept -8.
Help pleaseeee

Answers

Answer:

y=7x-8

Step-by-step explanation:

y=mx+b........slope-intercept form

where m=slope,b=y-intercept

y=7x-8

The manager of an amusement park is setting the price of a wookend admission to the
park based on a summer membership of $78. Sho wants the summer membership to bo
$12 loss than 3 times the cost of a wookend pass to the park. Which equation can the
amusement park manager use to find, x, the cost of the wookend admission?


I NEED THIS ANSWER RNN
PLEASEEEEEE 30 points 30 points 30 points

Answers

Step-by-step explanation:

We have

Summer membership + $12 = 3(Weekend pass).

=> ($78) + ($12) = 3x

=> 3x = $90

=> x = $30.

Hence the weekend admission is $30.

Answer:

3x-12=78

Step-by-step explanation:

This is my thinking:

So because x is the cost of the weekend admission, the problem says 12 less than 3 times the cost of the weekend admission. The 3 times the cost of the weekend admission is the 3x, and the problem says 12 less than and that is the -12. And the whole equation is being taken from 78, so

3x-12=78.

PLEASE HELP ME ILL GIVE BRAINLIEST ITS DUE SOON OMG

Answers

Answer: He was given 50 for his birthday

Answer:

It's b

Step-by-step explanation:

This was the first answer I gave. So I am going with it.

Plssssss help which statement is the clearest translation of 4+6z=12.

Answers

Answer:

FOUR PLUS SIX TIMES A NUMBER IS TWELVE

What is the 87th term of the arithmetic sequence of 12,0,-12

Answers

Step-by-step explanation:

12,0,-12

[tex]a1 = 12 \\ a2 = 0 \\ d = a2 - a1 \\ d = 0 - 12 = - 12 \\ an = a1 + (n - 1) \times d \\ \\ a87 = 12 + (87 - 1) \times ( - 12) \\ a87 = 12 - 1032[/tex]

what is the third side ? due in 2 days

Answers

Answer:

the third side could be 8 or 2

Step-by-step explanation:

Answer:

6 < x < 14;   answer = 8

Step-by-step explanation:

triangle inequality theorem: sum of any two sides must be greater than the third side

4 + 10 > x         x < 14

10 + x > 4         x > 6

here is a math question

Answers

Answer:

D.

Step-by-step explanation:

Because the sign is facing the number 26 It means 26 is greater so 2x-4 has to be smaller (less then or equal to 26)

It’s d 100% onevehdijssjwv

435,506 rounded to nearest ten thousand

Answers

Answer:

445,506

Step-by-step explanation:

math

Convert the following repeating decimal to a fraction in simplest form.
.6

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

0.6 is a repeating decimal in this case, so you can round it to .7

From there, you simply put it over ten because you cant break seven down any more than that in a simple fraction.

Solve the following expression 8 + (-20)

Answers

Answer:

-12

Step-by-step explanation:

integer rule = when a + and - comes it is indicated as - so ..

8-20 = -12

we put a minus sighnbecause 20 is the bigger number  

Answer:

-12

Step-by-step explanation:

Note the rules of the signs:

If there are two positive signs next to each other, the resulting sign will be positive. Example + (+  ).

If there is one negative sign and one positive sign directly next to each other, the resulting sign will be negative Example - (+  ) or + (-  ).

If there are two negative signs directly next to each other, the resulting sign will be positive. Example - (-  ).

In this case, there is one negative, and one positive sign. Subtract 8 with 20:

8 + (-20) = 8 - 20 = -12

-12 is your answer.

~

Can someone help me?

Answers

The triangle is an acute angle

write an equation of the line and interpret the slope ​

Answers

Answer:

Step-by-step explanation:

Slope of this line will be= m= (600-200)/(1-5)

m = 400/-4 = -100

Eq of line will be:

(y-y1)=m(x-x1)

y-200=-100(x-5)

y-200+100x-500=0

100x+y-700 = 0

To write equation in slope-intercept form

y=mx+c

just seperate "y"

y=-100x+700

Hey there!

The answer to your question is [tex]y = -100x + 500[/tex]

To write this equation in slope-intercept form, first we must figure out the slope. We can do this using the formula

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]:

[tex]\frac{200-600}{5-1}[/tex]

[tex]\frac{-400}{4}[/tex]

[tex]-100[/tex]

Now, we have part of the equation: y = -100x + b. We have to find b, and we can do so by plugging in one of the points into the equation, like so:

[tex]600 = -100(1) + b[/tex]

[tex]600 = -100 + b[/tex]

[tex]500 = b[/tex]

Now, we have our equation:[tex]y = -100x + 500[/tex]

Hope it helps and have an amazing day!

Other Questions
Este hombre conduce un auto amarillo y negro.a. el pasajerob. el turistaC. el taxistad. el efectivo Shawn is playing a game with a set of cards. Half of them are blue and the other half are yellow. In the game, the player guesses the color of the top card, looks at the card, and returns the card to the deck. The player continues to do this, shuffling the deck after each guess.Shawn has guessed the first three attempts as "blue and has been correct on each guess. He says he will guess "yellow for the next card since a yellow card is due to happen. Is Shawns reasoning correct?Yes, Shawn has guessed well so far, so it is clear that he cannot miss.No, all of the cards have been blue so far, so the next one must also be blue.Yes, half of the cards are yellow, so the fourth card should be yellow to compensate for the first three cards being blue.No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials. 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