is x²-x divisible by 2?​

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

There are two cases: Case 1: x is even, so x can be modelled as a generic number 2n, where n is a positive integer. Clearly this product is divisible by two. ... Hence, it is safe to generalise that the term x²-x is divisible by 2 for any positive integer x.

Answer 2

Answer:

Step-by-step explanation:

No, because [tex](x^2-x)/2[/tex] does equal [tex]x^2/2-x/2[/tex]. Honestly, it really depends on the value of x, as it provide whether or not the expression is divisible by 2.


Related Questions

Victor bought a new soccer ball. The original price was $29.99, but the ball was on sale for 15% off. What was the sale price?

Answers

Answer:

Sale price= $25.5

Step-by-step explanation:

Giving the following information:

The original price was $29.99, but the ball was on sale for 15% off.

To calculate the sales price, we need to use the following formula:

Sale price= original price* (1 - sales discount)

Sale price= 29.99*(1 - 0.15)

Sale price= $25.5

Rebecca needs a box with a rectangular base of 36 cm2 and a volume of 180 cm3. What would be the height of this box? O A. 45 cm B. 30 cm C. 20 cm D. 15 cm E. 5 cm​

Answers

Answer:

Volume of box V = 180 cm^3

Base area of box A = 36 cm^2

Height = h

Volume = base area × height

height = volume/base area

h = V/A

Substituting the values;

h = (180cm^3)/(36cm^2)

Height h = 5 cm

Step-by-step explanation:

Choose the correct simplification of the expression a^9 multiplied by b^10/a^2 multiplied by b^7

A^11b^17

1/a^11b^17

1/a^7b^3

A^7b^3

Answers

Answer:

a^7 b^3

Step-by-step explanation:

The question can be interpreted as

[(a^9)( b ^10)] / [(a^2 )×( b ^7)]

Then we can bring the denominator up, which means the power on the denominator will become (-ve) once it comes to the numerator side. Then we have

a^(9-2) × b^(10-7)

We can simplify by performing substraction on the power

= a^7 b^3

write 1.87 as a fraction.

Answers

Answer:

[tex]1\frac{87}{100}[/tex]

Step-by-step explanation:

A decimal is another way of representing a fraction such that the denominator of the fraction is a power of (10).

In the number (1.87), the number goes two places behind the decimal point, which means that the denominator of the fraction is (100), and the numerator is the given number excluding the decimal point.

[tex]\frac{187}{100}[/tex]

Simplify, write as a mixed number,

[tex]1\frac{87}{100}[/tex]

What fraction of the dunk tanks require at least 500 gallons of water? Write the fraction in simplest form.

Answers

Answer:

1/2

Step-by-step explanation:

Based on the information observed from the attached box and whisker plot, the Fraction of dunk tanks which requires atleast 500 gallons of water. This fractional value will be the property of plot in the position marked as 500 on the plot. The point which refers to 500 gallons on the plot is the ticked point in between the box. This point represents the median value in a box and whisker plot.

The median value represents the 50th percentile value which relates to half of the distribution. This means that fraction of dunk which requires atleast 500 gallons is : (50/100) = 1/2

find the common ratio of 80, 20, 5

Answers

Answer:

The common ratio of the following sequence : 80, 20, 5,... is 1/4. Common ratio = 5/20 = 20/80 = 1/4

Step-by-step explanation:

Please help show work
(Don’t mind my answer I accidentally clicked)

anything helps :)

Answers

There’s no work for you to show

Evaluate the function.

f(x)= - x^2 - 10x

find f(-5)

Answers

Answer:

f(- 5) = 25

Step-by-step explanation:

To evaluate f(- 5) , substitute x = - 5 into f(x) , that is

f(- 5) = - (- 5)² - 10(- 5) = - 25 + 50 = 25

Help on this one to ??

Answers

Answer:

64

Step-by-step explanation:

what is the general rule of the following geometric sequence

-4; -1; -1/4​

Answers

Answer:

Each of these numbers is divided by four to get the next number in the sequence, so the rule of this would be divide by 4.

Step-by-step explanation:

-4/4 is -1, -1/4 is -1/4 (negative one-fourth), and so on.

Here is a list of numbers:
3.3, 3.9, 3.3, 8.1, 4.8, 7.3, 0.6, 6.1, 7.1
State the median.

Answers

4.8 is the correct answer
Hopes this helps:

Answer: 4.8

First, you have to put the numbers in order from least to greatest.

What number is in the middle that will be your median.

Please help me out

Find the area of the triangle.

Answers

Answer:

66cm²

Step-by-step explanation:

The figure shown is actually a parallelogram

The area of a parallelogram can easily be calculated by multiplying the base length by the height

For this parallelogram the height given is 6 cm and the base length given is 11cm

so area = 6 * 11

6 * 11 = 66

hence the area of the parallelogram is 66cm²

answer: 66cm^2
hopes this helps you out .


Help me please !!!!!!


Answers

Answer:

The y-int represents the base price of $200 for airfare from NYC

The slope represents a cost of 30 cents per mile traveled

If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y=50+0.30x

If the cost per mile changed to 50 cents, the new equation would be y=200+0.50x

A group of scientists wants to investigate if they can predict the life expectancy of mammal species given
its average heart rate. The table below shows the relationship between average heart rate (in beats per
minute) and life expectancy (in years) for a sample of mammals.
Whale
Elephant
Horse
Lion
Sheep
Pig
Average heart rate (BPM)
20
30
34
50
75
95
Life expectancy (years)
70
70
40
13
15
25
All of the scatter plots below display the data correctly, but which one of them displays the data best?
By convention, a good scatter plot uses a reasonable scale on both axes and puts the explanatory variable on the
x- axis

Answers

Answer:

GRAPH B

Step-by-step explanation:

I GOT IT CORRECT ON KAHN!!!!

6.

The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.


A. 212; your car travels 212 miles.

B. 1/53; Your car travels 53 miles every 1 hour.

C. 53/1; Your car travels 53 miles every 1 hour.

D. 10; your car travels for 10 hours.

Answers

The answer is D hope this helps

Answer:

D. 10; your car travels for 10 hours.

Step-by-step explanation:

Need help need help need help need help

Answers

Answer:

Step-by-step explanation:

I believe that since both circles C & D are congruent, and TU is bisected into TW and WU, PS = 7.4/2 = 3.7

PS = 3.7

Answer:

it is 6.9

Step-by-step explanation:

i took the test

The ratio of boys to girls in class is 4 : 5
What fraction of the class are boys

Answers

Answer:

The ratio of boys to girls is 4:5. So let 4x be the number of boys and 5x be the number of girls. Then 4x+5x = 9x is the total number of students. Then the fraction of boys in the class is 4x/9x = 4/9.

Anyone know how to do this?

Answers

Answer:

Gonna say B

Step-by-step explanation:

-0.01 (65)+110 = 109.35

It was the predicted value of the 65 year old's vision score.

Since the equation has an equal sign

y (=)

And not more than nor less than, answer choices C and D are eliminated.

The exact value for the 65 year old's vision score is 102. So, A isn't right.

Find the area of each sector. Round your answer to the nearest tenth

Answers

Answer:

[tex]398.2 {km}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{270}{360} \times \pi {r}^{2} \\ \frac{270}{360} \times \pi \times {13}^{2} \\ \frac{270}{360} \times \pi \times 169 \\ 398.2 {km}^{2} [/tex]

Hope this helps you

Can I have the brainliest please?

Have a nice day!

how many different burritos can be made when a customer chooses one item frm each category shown in the table

Answers

Answer:13

Step-by-step explanation:

Step-by-step explanation:

Is AB tangent , yes or no and why?

I need help ASAP

No links!!!

Answers

Answer:

no because the radius doesn't make 90 degree

Find the discount savings on a bicycle that originallycosts $230 but is on sale for 40% off. Show yourwork.

Answers

Answer:

You would save 92$

Step-by-step explanation:

Discount = Original Price x Discount 40/100

Discount = 230 × 40/100

Discount = 230 x 0.4

You save = $92.00

Final Price = Original Price - Discount

Final Price = 230 - 92

Final Price = $138.00

Hope this helps

Choose the function whose graph is given by

Answers

Answer:

D

Step-by-step explanation:

I plugged each equation into a graphing calculator and compared them to see which one matched the one in the picture.

The value of the trigonometric equation after transformation is given by the value y = 3 [ sin ( x + 3 ) ] - 2

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the parent function be represented as f ( x )

Now , the value of the trigonometric function f ( x ) is

f ( x ) = 3sin ( x )

when the function is translated 3 units to the left and 2 units down , we get

y = 3 [ sin ( x + 3 ) ] - 2

Therefore , the transformed function is y = 3 [ sin ( x + 3 ) ] - 2 and the graph is plotted

Hence , the transformed function is y = 3 [ sin ( x + 3 ) ] - 2

To learn more about transformation of function click :

https://brainly.com/question/26896273

#SPJ7

Petra is making donuts by stamping circles in dough using a pastry stamp with a diameter of 3 inches. For the donut hole, she stamps out a circle using a pastry stamp that has a diameter of 1 inch.

How many square inches of dough are left to make the donut after the hole has been removed?

Answers

Answer:

2 inches would be left

Step-by-step explanation:

A rectangle has a perimeter of 30 yards. If one side is 5 yards long, how long is the other side?
A. 15 yards
B. 25 yards
C. 10 yards
D. 30 yards

Answers

Answer:

C. 10

Step-by-step explanation:

5+5=10

10+10=20

10+20=30

Answer:

The other is 10 yards long

Step-by-step explanation:

For a given rectangle

Perimeter (P) = 30 yards

and one of rectangle is 5 yards

Now,

Perimeter of rectangle

P = 2l + 2b

30 = 2(5) + 2b

30 = 10 + 2b

30 - 10 = 2b

20 = 2b

b = 20 ÷ 2

b = 10 yards

Thus, The other is 10 yards long

-TheUnknownScientist

Will mark brainliest if done within 20 minutes of this being posted! NO LINKS NO FILES. Solve the radical equations and show your work, check your solutions too.

Answers

Step-by-step explanation:

5√x+3 = -20

÷5. : √x+3 = -4

square: x+3 = 16

-3: x = 13

√x+18 -2 = x -4

+2 : √x+18 = x -2

square: x+18 = x^2 - 4x +4

-18: x = x^2 -4x -14

-x : 0 = x^2 -5x - 14

foil: (x- 7) (x+2) = 0

x = 7, -2

Can someone help me please

Answers

Answer:

A = 2x² + x - 45

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = length × breadth , thus

A = (2x - 9)(x + 5) ← expand using FOIL

   = 2x² + 10x - 9x - 45 ← collect like terms

    = 2x² + x - 45

The cost of a holiday is £2400. Rana pays a deposit followed by monthly payments, in the ratio deposit:total of the monthly payments=3:5 she makes 6 equal monthly payments. Work out her monthly payment

Answers

Answer:

Monthly installments = £250

Step-by-step explanation:

Given

Total cost of holiday = £2400

Ratio deposit : total of the monthly payments=3:5

Total deposit made = [tex]\frac{3}{3+5} * 2400 = 900[/tex]

Total amount of the monthly payments = 2400 -900 = 1500

She pays six equal installments.

Amount of installments = 1500/6 = 250

Monthly installments = £250

Using proportions, it is found that her monthly payments are of £250.

The deposit is of x.The total of monthly payments the remainder, that is, 2400 - x.

According to the ratio, we have that:

[tex]\frac{x}{2400 - x} = \frac{3}{5}[/tex]

Applying cross multiplication:

[tex]5x = 3(2400 - x)[/tex]

[tex]8x = 7200[/tex]

[tex]x = \frac{7200}{8}[/tex]

[tex]x = 900[/tex]

Hence, the monthly payments add to £1500.

She makes 6 equal monthly payments, hence:

[tex]p = \frac{1500}{6} = 250[/tex]

Her monthly payments are of £250.

A similar problem is given at https://brainly.com/question/24372153

I NEED HELP ASAP
A football quarterback goes for a two-point conversion when the ball is within 10 yards of the end zone. During the game, he has two opportunities for a two-point conversion. He misses the first attempt 50% of the time. When he misses the first attempt, he misses the second attempt 15% of the time. What is the probability of missing both two-point conversion attempts?

Answers

Answer:

P = 0.075     P = 7.5%

Step-by-step explanation:

We pretty much look for the probability that the player fails the first attempt and also fails the second attempt.

We know for a fact that the probability that the quarterback fails the first attempt is:

p(1) = 0.5

and we know that the probability that the quarterback fails the second attempt after failing the first is:

p(2/1) = 0.15  

Then the probability of failure of both attempts is:

P(2/1) = p(1 and 2) / p(1)

p(1 and 2) = P(1) * P(1/2)

p(1 and 2) = 0.5 * 0.15

and that is

p(1 and 2) = 0.075

you probably didn't want the nerdy stuff but oh well

Answer:

Answer:

P = 0.075     P = 7.5%

Step-by-step explanation:

We pretty much look for the probability that the player fails the first attempt and also fails the second attempt.

We know for a fact that the probability that the quarterback fails the first attempt is:

p(1) = 0.5

and we know that the probability that the quarterback fails the second attempt after failing the first is:

p(2/1) = 0.15  

Then the probability of failure of both attempts is:

P(2/1) = p(1 and 2) / p(1)

p(1 and 2) = P(1) * P(1/2)

p(1 and 2) = 0.5 * 0.15

and that is

p(1 and 2) = 0.075

What is the equation for the line that passes through the points (-5.5, 2.5) and (-2.5, -3.5)

questions are:

A) y= 2x + 13.5
B) y= x - 1
C) y= -2x + 1.5
D) y= -2x - 8.5

Answers

Answer:

D

Step-by-step explanation:

Other Questions
Use a net to find the surface Area of the square pyramid The height of the pyramid is 9 yes and the base sides are all 2.5 yrds and its a square as a base Complete the dialogue with the correct form of the verb in parentheses choosing between the subjunctive, the indicative and the infinitive, depending on the context. What is one inference that can be made to explain how most companies in the United States were doing as their stock value crashed? HELP ME PLS ITS DUED SOONMatch the story opening on the left to the "Narrative Beginning Strategy" on the right. "Can you keep a secret? Everybody has secrets, of course, but mine's different, and it's kind of weird." -The Tail of Emily Windsnap by Liz Kesslerwhich one does the story match with?(no links of report, if you dont know the answer dont answer pls!) A mint produces 150,000 souvenir coins each year. In a random sample of 400 coins, 3 have a misprint. Predict the number of coins that will have misprints in a year. 100 POINTS!!!!Read this passage from "The American Dream."One of the first things we notice in this dream is an amazing universalism. It does not say some men, but it says all men. It does not say all white men, but it says all men, which includes black men. It does not say all Gentiles, but it says all men, which includes Jews. It does not say all Protestants, but it says all men, which includes Catholics.Which is the most likely reason that the speaker repeats the word men in the passage?A. Men functions as a keyword that helps create a rhythm.B. Men emphasizes the subject the speaker is interested in discussing.C. Men functions as a key point in the speakers logical argument.D. Men emphasizes the differences the speaker wants to show. Solve x + 20 = 24.The solution is x = A bag contains 30 ping-pong balls, each with a different number written on it from 1 to 30. What is the probability of selecting a ball with a number that is less than 13? Which is the best simplification of (2^4 x 3*2)/(2 x 3)? 40 points. Factor the following polynomial.49y2 x2A.(7y x)(7y + x)B.(7y + x)2C.(7y x)2D.does not factor People want more things than they have money to buyThe hoods and services a society can produce at any one time are limitedWhat problem results from these two conditions? A. Scarcity B. Imbalance of power C. Excessive wealth D. Opportunity cost This is more question of math If a truck used 25 gallons to travel 375 mies, how many miles would it travel on 4 gallons of gas? PLSSSS HELP THIS IS SPANISH !!!ill mark u brainliest if you're rightttt What are 2 qualities that made Watsonville special? PLZ HELP IM GIVING 25 POINTS AND BRAINLIEST IF ITS RIGHT ITS READINGThe next question refers to This Mystery Rocks! by Cynthia Schlagel.The sentences have been numbered to help you identify them more easily.This Mystery Rocks! By Cyntha Schlagel1The Drifting Rocks are a strange phenomenon still unexplained by science. 2Located in Death Valley, California, the rocks sit on hot, flat ground. 3Unlike normal rocks, they have trails etched behind them as if they have traveled across the sand. 4Some trails are only a few feet. 5Some trails are over a half a mile long. 6Each trail is as baffling as the next.7The variety of rock movement has baffled scientists for decades. 8Some rocks seem to roll as they move forward. 9Some take unexplainable routes. 10Large ones have traveled past small ones that have stayed still. 11Some scientists suggest that the rocks are pushed by wind. 12Others believe they slide on small amounts of ice or mud. 13So far, research has not confirmed any theory.Which sentence best identifies the main idea of paragraph two? (4 points) aScientists are baffled by the different ways the rocks move. bScientists are confused by the different ways the rocks move, and theories involving wind, ice, and mud have not been confirmed. cScientists have theories of how the rocks move. dThe rocks have stumped scientists because some roll, some take unexplainable routes, and some have traveled past ones that have stayed still, but scientists have theories that the rocks are pushed by wind or that they slide on ice or mud. Find the product. Simplify.(a + 1)(a 5)= Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT. Name 3 ways you can keep our community healthy? PLEASE SOMEONE HELP ME ASAP!!!!! Ill mark brainliest