The sum of a whole number and twice the square of the number is 10. Find the number

Answers

Answer 1

Answer:

Hey there !

Solution:

Let the number be x

=> x + 2x² = 10

=> 2x² + x - 10 = 0

Factorising the quadratic equation we get,

=> 2x² + 5x - 4x - 10 = 0

=> x ( 2x + 5 ) -2 ( 2x + 5 ) = 0

=> ( x - 2 ) ( 2x + 5 ) = 0

=> x = 2, -5/2

Since x is a whole number, -5 / 2 wont be applicable.

Hence x = 2.

Hence the number is 2.

Hope my answer helped !

Step-by-step explanation:


Related Questions

13. Greg is going into business selling homemade blankets.
The supplies for each blanket cost him $3.00, and he wants
to earn at least $17.00 for each blanket to compensate for his time. The domain for this situation is:
all rational numbers
all positive real numbers
all positive integers

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Answer:

all positive inegers

Step-by-step explanation:

Which of the following is not a congruence theorem or postulate?

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Answer:

where are the following???

Step-by-step explanation:

Which two segments have the same length?

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Answer:

VW and YZ

Step-by-step explanation:

Count the lines in between the black dots.

answer this question: what is 9+10

Answers

Answer:

nineteen

Step-by-step explanation:

ty for the points luv

which ratios are equivalent to 7/3? check all that apply 27:21, 28 to 12, 56/24, 63 to 27, 9/12

Answers

Answer:

I know the correct ones!

Step-by-step explanation:

28 to 12, 63 to 27, 56 to 24

Answer:

its B C and D

Step-by-step explanation:

hey There! i need ur help Please​!!!!

Answers

Answer:

35 5x7=35

Step-by-step explanation:)

35 [tex]hope you love it[/tex]

A group of 44 students is planning a train trip to Washington, D.C. They held many fundraisers and raised $10,880. Nathan said, “We should have enough money to pay for the train tickets. There are about 50 students going on the trip and one round trip ticket costs about $200. That makes the total cost of the tickets less than $10,000.” Does Nathan’s reasoning make sense?

Answers

Answer:

Yes

Step-by-step explanation:

Yes, Nathan's reasoning makes perfect sense because he is only stating that the money will be enough for the train tickets. Since a ticket for a single student is $200 round-trip and there are a total of 50 students going then that would mean that the total cost is indeed $10,000 (200 * 50). Since they raised a total of $10,880 with the fundraisers that would leave them with $880 ($10,880 - $10,000) after buying all the tickets that they need for all of the students.

Answer:

Yessirr

Step-by-step explanation:

Yessir, Nathan's reasoning makes perfect sense because he is only stating that the money will be enough for the train tickets. Since a ticket for a single student is $200 round-trip and there are a total of 50 students going then that would mean that the total cost is indeed $10,000 (200 * 50). Since they raised a total of $10,880 with the fundraisers that would leave them with $880 ($10,880 - $10,000) after buying all the tickets that they need for all of the students.

A jar contains 3 red marbles, 2 blue marbles, and 5 yellow marbles. What is the
probability of pulling a blue marble, replacing it, then pulling a blue marble again?

Answers

Answer:

1/10

Step-by-step explanation:

O cronograma de vacinação deste posto pretendia vacinar 1500 moradores do bairro, porém não conseguiu vacinar todos os moradores. Qual é a probabilidade de escolher ao acaso um morador do bairro que não tomou a vacina?

Answers

Questão completa:

O cronograma de vacinação deste posto pretendia vacinar 1500 moradores do bairro,

porém não conseguiu vacinar todos os moradores. Qual é a probabilidade de escolher

ao acaso um morador do bairro que não tomou vacina?

(eles so conseguiram vascinar 1000 pessoas )

Responda:

1/3

Explicação passo a passo:

Dado que :

Número total de pessoas = 1.500

Número total de vacinados = 1000

Conseqüentemente,

Número de não vacinados = (1500 - 1000) = 500

Portanto, a probabilidade de selecionar aleatoriamente alguém que é vacinado:

Probabilidade = (resultado necessário / número de resultados totais)

P (selecionando alguém que não foi vacinado) =

500/1500

= 1/3 ou 0,3333

find the value of questions​

Answers

Answer:

The simplified expression is:

[tex]\frac{3^9y}{2\times \:81}=\frac{243y}{2}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{3^9\times \:y}{2\times 81}[/tex]

solving the expression

[tex]\frac{3^9\times \:y}{2\times 81}=\frac{3^9y}{162}[/tex]

        [tex]=\frac{3^9y}{3^4\times \:2}[/tex]                ∵    [tex]162=3^4\times \:2[/tex]      

        [tex]=\frac{3^5y}{2}[/tex]                   ∵   [tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]

       [tex]=\frac{243y}{2}[/tex]                  ∵    [tex]3^5=243[/tex]

Therefore, the simplified expression is:

[tex]\frac{3^9y}{2\times \:81}=\frac{243y}{2}[/tex]

dan is cutting 4.75-foot lengths of twine from a 240-foot spool of twine. he needs to cut 42 lengths and says that 40.5 feet of twine will remain. show that this is reasonable.

Answers

Answer:

to find the ammount of twine left we subtract (twine used) from (total twine) or (total twine)-(twine used)=ammount left

so he must cut 42 legnths of rope  each legnth is 4.75 and this is taken from a

total legnth of 240 so

240-42(4.75)=amount left

42 trimes 4.75=199.5

240-199.5=40.5 left

Step-by-step explanation:

SOLVE...show your work:
8/12=10/3x

Answers

Answer:

well if the x is in the fraction the answer is

x=5

if it is not and it's after the fraction

x=1/5

Step-by-step explanation:

for x=5                                               for x=1/5

Apply;fraction:cross:multiply:          8/12=10/3 x then switch sides

8*3x =12*10                                       10/3 x = 8/12  cancel the common factor:4

simplify:                                             10/3 x = 2/3                                          

24x=120                                            multiply both sides by 3

divide both sides by 24                   3*10/3 x = 2*3/3

24x/24=120/24                                 simplify: 10x =2

simplified =5                                    divide both sides by 10: 10x/10=10/2

x=5                                                    simplified = 1/5

                                                          x=1/5

Please let me know if this helps. and give me a thanks or something if it did <33

Marty's class collected $11.40 in a school-wide penny collection contest. If Tommy's class subtracted $4.70 from the amount they collected, x, and then multiplied the difference by 2, they would have the same amount of money as Marty's class.

Answers

Answer:

braiiiiiiiiinlllllllyyyyyyyyest

Step-by-step explanation:

find the value of y that makes the equation y = 1/2 x -2 true when x = 4 choose one
A) -4 B) 0 C) 1 D) 4

Answers

Answer:

B) 0

Step-by-step explanation:

Please help. I need help with this

Answers

Answer: it’s gonna be the last on on that list
Explanation: because p wants to ride in it as well it’s gonna be equal to as well so when u look at it u don’t want to go over it P WANTS to be either one of the 31 people that are allowed.
If that helps.

A movie theater has a seating capacity of 249. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1806, How many children, students, and adults attended?

Answers

9514 1404 393

Answer:

126 children63 adults60 students

Step-by-step explanation:

Let a represent the number of adults that attended. Then 2a is the number of children, and (249 -a -2a) is the number of students. The total revenue is ...

  5(2a) +7(249 -3a) +12a = 1806

  a +1743 = 1806 . . . . simplify; next, subtract 1743

  a = 63 . . . . . . . . adults

  2a = 126 . . . . . . children

  249 -3a = 60 . . students

126 children, 63 adults, and 60 students attended.

You have a bag of 12 marbles. Four are blue, 6 are green, 2 are red, and the others are yellow. What is the probability of drawing a red marble and, without replacing it, then drawing a green marble?

Answers

Answer:

[tex]Probability = \frac{1}{11}[/tex]

Step-by-step explanation:

Given

[tex]Blue = 4[/tex]

[tex]Green = 6[/tex]

[tex]Red = 2[/tex]

[tex]Total = 12[/tex]

Required

Determine the probability of drawing red and green without replacement

This is calculated as follows:

[tex]Probability = P(Red\ and\ Green)[/tex]

[tex]Probability = P(Red)\ and\ P(Green)[/tex]

[tex]Probability = \frac{n(Red)}{Total} * \frac{n(Green)}{Total - 1}[/tex]

We used Total - 1 because it's a probability without replacement:

[tex]Probability = \frac{2}{12} * \frac{6}{12- 1}[/tex]

[tex]Probability = \frac{2}{12} * \frac{6}{11}[/tex]

[tex]Probability = \frac{1}{6} * \frac{6}{11}[/tex]

[tex]Probability = \frac{1}{11}[/tex]

Hence, the required probability is 1/11

Simplify
(-2a^2 b^4)^3. Select the correct answer.

Answers

Answer:

B.. ..... .., .........

On expanding the given expression (-2a²b⁴)³ , we get -

- 8a⁶b¹²

What is expression in mathematics?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given is the following expression -

(-2a²b⁴)³

On expanding the expression, we get -

(-2a²b⁴)³

- 8a⁶b¹²

The correct alternative is option [C] → - 8a⁶b¹²

Therefore, on expanding the given expression (-2a²b⁴)³ , we get -

- 8a⁶b¹²

To solve more questions on expressions, visit the link below-

brainly.com/question/11915983

#SPJ2

Could anyone help me solve this Algebra equation?

Answers

Answer:

[tex]9^{-36}[/tex]

Step-by-step explanation:

What is the equation of the line that passes through the point (-5, -2) and has a
slope of -6/5?

Answers

Answer:

y= -6/5x - 8

Step-by-step explanation:

I just used desmos easy to use and you understand how graphs work more.

8x + 4 - 3 - x
PLEASE solve it!!!!

Answers

8x - x + 4 - 3
= 7x + 1

Answer:

7x+1

Step-by-step explanation:

Add common variables. That's as far as you can go because you don't what the final answer is supposed to be.

Find the vertex for the following equation.
y = 2x^2 - 4x + 5

Answers

Answer:

            (1, 3)

Step-by-step explanation:

[tex]y = 2x^2 - 4x + 5\\\\y = 2(x^2 - 2x) + 5\\\\y=2(\underline{x^2-2\cdot x\cdot1+1^2}-1^2)+5\\\\y=2\big[(x-1)^2-1\big]+5\\\\y=2(x-1)^2-2+5\\\\y=2(x-1)^2+3\quad\implies\quad vertex:\ (1\,,\ 3)[/tex]

Select the correct answer. Which set of coordinates satisfies the equations x − 2y = -1 and 2x + 3y = 12? A. (1, 2) B. (3, 1) C. (3, 2) D. (-3, -2) E. (3, -2)

Answers

Answer:

The coordinates that satisfy the equations will be: (3, 2)

Hence, option C is correct.

Step-by-step explanation:

Given the equations

[tex]x\:-2y\:=-1;\:2x\:+\:3y=12[/tex]

solving the equations to find the solution values (coordinates)

[tex]\begin{bmatrix}x-2y=-1\\ 2x+3y=12\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}x-2y=-1\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:2x-4y=-2[/tex]

[tex]\begin{bmatrix}2x-4y=-2\\ 2x+3y=12\end{bmatrix}[/tex]

[tex]2x+3y=12[/tex]

[tex]-[/tex]

[tex]\underline{2x-4y=-2}[/tex]

[tex]7y=14[/tex]

so

[tex]\begin{bmatrix}2x-4y=-2\\ 7y=14\end{bmatrix}[/tex]

solve for y

[tex]7y=14[/tex]

[tex]y=2[/tex]

[tex]\mathrm{For\:}2x-4y=-2\mathrm{\:plug\:in\:}y=2[/tex]

[tex]2x-4\cdot \:2=-2[/tex]

[tex]2x=6[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

[tex]\frac{2x}{2}=\frac{6}{2}[/tex]

[tex]x=3[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=3,\:y=2[/tex]

Therefore, the coordinates that satisfy the equations will be: (3, 2)

Hence, option C is correct.

Answer:

3,2

Step-by-step explanation:

find rhe area of a regular hexagon with17.3 miles long and a long 20 side

Answers

answer:

A≈1039.23

Solution

A=33

2a2=3·3

2·202≈1039.23048

which expression is equivalent to x2-17x-60

Answers

Answer:

(x - 20)(x + 3)

Step-by-step explanation:

Multiply the coefficient of the first term. 1 x -60

which equals -60

find the two factors of -60 which is -17

-60+ 1 = -59

-30+ 2= -28

-20+ 3= -17

Then, the final answer you will get is  (x - 20)(x + 3)

Convert 50°F to Celsius.
_____ °C

Answers

10 Celsius
Explanation: SIRI said

Answer:

10C

Step-by-step explanation:

look it up

Camilla and Claudette offer hourly gymnastics classes. Together they can teach 14 students
at a time. They offer classes at 4pm, 5 pm, and 6 pm Monday through Thursday and 9:30 am
and 10:30 am on Saturdays. A one hour class costs $50. Their gymnastics arena costs them
$3,200 a month in rent and utilities. How much profit do they make in one month? Assume a
4 week month.

Answers

Answer:

so its 37377 im doing this for points

Step-by-step explanation:

i dont know if its wrong but add 1+h3

///////////////////;;;;;;;;hfdtty

Answers

100 in^2 bc you have to do l x w x h

yttdfh;;;;;;;;////////////////

That's what you said but backwards :P

Please answer the question below

Answers

Answer:

Yesssirrrr

Step-by-step explanation:

how does it feel??

Answer:

yes sirr

Step-by-step explanation:

What single decimal multiplier would you use to increase by 4% followed by a 4% decrease?

Answers

Answer:

if you increase by 4%, it means you will have a new total of 104%. In decimals it is 1.04 (divide your percentage by 100) after that you do the same with the 3% increase. you'll have a new total of 103%. In decimals 1.03. If you want to know what single multiplier you can use, you need to multiply the both decimals. So you get 1.04 x 1.03 = 1.0712

Step-by-step explanation:

The decimal multiplier would you use to increase by 4% followed by a 4% decrease is 1.0816.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

We have to find decimal multiplier would you use to increase by 4% followed by a 4% decrease.

So, (1+ 4%)(1+ 4%)

= (1 + 4/100)(1 + 4/100)

= (1 + 0.04)(1+0.04)

= 1.04 x 1.04

= 1.0816

Learn more about percentage here:

https://brainly.com/question/29306119

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