If 18 is subtracted from twice the square of an integer, the result is equal to nine times the integer. What is the value of the integer?

Answers

Answer 1

Answer:

6 or -1.5

Step-by-step explanation:

We can let this integer be x.

Therefore, according to the question we have:

[tex]2x^2-18=9x[/tex]

Subtracting 9x, we have a quadratic:

[tex]2x^2-9x-18=0[/tex]

Plugging into the quadratic equation:

[tex]\frac{9+\sqrt{81+144}}{4}, \frac{9-\sqrt{81+144}}{4},[/tex]

the square root of 81+144 is 15, so the answer is either 6 or -1.5


Related Questions

(x-3)^2=5 ? confused

Answers

[tex](x-3)^2=5\implies \sqrt{(x-3)^2}=\sqrt{5}\implies (x-3)=\sqrt{5}\implies x = \sqrt{5}+3[/tex]

1 5/8 ÷ (−1 3/5) Please help

Answers

The answer is (-75/104)

Is (–3, –2) a solution to the equation y = x + –1?

Answers

Answer:

No.

Step-by-step explanation:

We plug in the coordinates and that gives us -2=-3+-1, that is not true, therefore your answer is no.

Brainliest would be appreciated! :-)

20. Write an expression: Alexis has $10 less than twice the amount that David has. If David has
x dollars, write an expression to represent the amount that Alexis has.

Answers

Answer:

2x - 10

Step-by-step explanation:

'x' = amount David has

Alexis = 2x - 10

I need a step by step explanation as well as work

Answers

Answer:

  x = 2

  m = 15/4

  a = 5/4

Step-by-step explanation:

When the "base" lines are parallel, all of the triangles are similar. That means corresponding segments are proportional, including corresponding parts of segments.

We see that x corresponds to a partial segment marked 3. That same top-bottom correspondence has another pair of segments marked 2 and 3. That means x=2.

  x/3 = 2/3   ⇒   x = 2

__

The segments marked 'm' and 'a' are "whole side" segments, so we need to put those in proportions with corresponding whole sides. If we use the bottom side, we find ...

  a/3 = 5/(3+6+3) = 5/12   ⇒   a = 5/4 = 1 1/4 . . . . . multiply by 3

and

  m/(6+3) = 5/12   ⇒   m = 15/4 = 3 3/4 . . . . . multiply by 9

__

  x = 2

  m = 15/4

  a = 5/4

Which of the following trinomials can be factored using the square of the difference?

NO LINKS!! ​

Answers

Answer:

  d) 16x² -56x +49

Step-by-step explanation:

The square of a binomial difference will have the form ...

  (ax -b)² = a²x² -2abx +b²

__

The sign of the linear term will be negative, which eliminates choices A and C.

The linear term will be double the product of the roots of the other two terms.

In choice B, the linear term has a factor of 5 that appears nowhere else, so that cannot be a perfect square.

Choice D factors as ...

  16x² -56x +49 = (4x -7)² . . . . the square of a difference

How do I do this? It's a modulus question.

Answers

1)
||x|-4|= |x-1|
1st step = separate the equation into 2 possible equations
2nd step = solve the equations
|x|-4= x-1
x= -3/2
Or
|x|-4= - (x-1)
X= 5/2

2)

Do the same
X= -5/2
X= 7/2



State the postulate or theorem you would use to prove each pair of triangles congruent.
a) SSS
b) SAS
c) ASA
d) AAS
e) HL
f) Not possible

Answers

Answer:

  c) ASA

Step-by-step explanation:

Angles at either end of the shared line segment are marked congruent, so the triangles can be shown to be congruent using the ASA postulate. (The shared segment is congruent to itself.)

please answer for 30 points

Answers

Answer:

(2,-2)

Step-by-step explanation:

but it says fifteen and the answer is the first one

Answer:

I believe its A. im not 100 % im sorry if its wrong

Five and 1/3÷2 2/3 simplified

Answers

Answer:

5 1/3 ÷ 2 2/3

Write both mixed fractions (whole number in front of fully-reduced fraction) as improper fractions (numerator is larger than denominator).

5 1/3 = 16/3

2 2/3 = 8/3

16/3 ÷ 8/3

When dividing, switch the numerator and the denominator of the fraction after the division sign and change the division sign to a multiplication sign.

16/3 x 3/8

Multiply.

16/8

Divide by 8.

2

Hope this helps! :)

An auditorium has 72 rows of seats. The first row contains 70 seats. As you move to the rear of the auditorium, each row has 2 more seats than the previous row. How many seats are in the 24 th row

Answers

The number of seats on the 24th row is 3220.

The number of chairs in the 24th row is a function of the rate at which the chairs increase and the number of rows. The formula that can be used to determine the number of seats on the 24th row is:

P x [r x (n - 1)]

Where:

P = number of seats on the first row = 72r = rate of growth of the seats = 2n = number of the row = 24

70 x [2x  (24 - 1)]

70 x  (2 x 23)

= 70 x 46

= 3220

A similar question was answered here: : https://brainly.com/question/18760477


By definition pH = - log H+], where H*] is the hydrogen concentration in $ ltext(moles per liter]$. If the pH
of a solution is 3, what would the [H+] in the solution (written in scientific notation)?

Answers

A ........................ig

log, a Consider the graph of the function f 2- X O -2 2 4 6 8 10 -2 - What are the features of function gif g(t) = -|(r) - 1; oyintercept at (0,-1) X-intercept at (1,0) range of (-1,00) domain of (0, 0) vertical asymptote of g = 0​

Answers

Answer:

X-intercept at (1/2 ,0)

domain of (0, infinity)

Vertical asymptote of x = 0

Step-by-step explanation:

Plato I got it right on the test

NEED NOW PLEASE.....

Answers

Answer:

2+(-6)

Step-by-step explanation:

hope this helps

The speed of a train is 90 km per hour so how much will it be in m /s .​

Answers

Answer:

90km/h in m/s will be

90×1000m/3600s ( convert 1km/1h to 1000m/3600sec )

=> 25m/s

we have: 90 km/h =  90 ÷ 3,6 = 25 m/s

Ok done. Thank to me :>

Two pieces of equipment were purchased for a total of $5000. If one piece cost $410 more than the other, find the price of the less expensive piece of equipment

Answers

Answer:   i have never did a math problem like this before because i'm only in the 2nd semester of 7th grade but i will try, i think it is 2090

Step-by-step explanation: 5000 divided by 2 = 2500. then you do 2500-410. 2500-410= 2090.  (i hope this will help you and sorry if i did it wrong) :)

Mike Jones bought a new split-level home for $150,000 with 20% down. He decided to use Victory Bank for his mortgage. They were offering for 25-year mortgages. Provide Mike with an amortization schedule for two periods. (Use Table 15.1(b)). (Do not round intermediate calculations. Round your answers to the nearest cent.) Payment number Portion to— Balance of loan Interest Principal outstanding 1 2

Answers

Given:-

Value of Home = $150000

Down payment = 20% of $150000 = $30000

Loan Amount = $150000 - $30000 = $120000

Interest on Loan = 13.3/4% or 13.75%

Duration of Loan = 25Year

Calculation:-

Interest per month = 13.75%/12 =0.0114583333333333 % or 0.011458%

No. of months payment required = 25 years x 12 Months = 300 Months

To Calculated the monthly mortgage payment:-

The formula is M = P*i*(1 + i)^n/(1+i)^n – 1

Where M is monthly payment of Mortgage

P = principal amount of Loan = $120000

i = interest per month = 0.011458%

n=duration of loan in months = 300 months

When we apply the formula:

M = $120000*[0.011458*(1+0.011458)^300/(1+0.011458)^300-1]

= $120000*[0.011458*(1.011458)^300/(1.011458)^300-1]

=$120000*[0.011458*30.50697/30.5067-1]

=$120000*[0.011458*30.50697/29.50697]

=$120000*[0.349559/29.50697]

=$120000*0.011847 =$1421.60

So,Morgage payment Per month $1421.60

Period 1

Interest for 1st period = $120000 x0. 011458 = $1374.96

Pricipal Amount paid = $1421.60 -$1374.96 =$46.64

Balance in Principal amount = $120000-$46.64 =$119953.36

Period 2

Interest for 1st period = $119953.36 x0. 011458 =$1374.43

Pricipal Amount paid = $1421.60 -$1374.43 =$47.17

Balance in Principal amount = $119953.36 - $47.17 =$119906.19

What is the measure of _XYZ?
X
172
y
O A. 17°
V.
O B. 72°
55°
O C. 55°
w
D. 360

Answers

Answer: 35°

Step-by-step explanation: We have to find the measure of angle XYZ. We know, the angle subtended at the center is the average of the measure of arc intercepted by its angle and its vertical angles. Therefore, the value of ∠XYZ = 35°.

I hope this helps!

-Notsonerdy

Solve for x in the triangle. Round your answer to the nearest tenth.

Answers

Answer:

x = 13.9

Step-by-step explanation:

15cos(22) = 13.9

Answer:

x = 13.9

Step-by-step explanation:

For the 22° angle, x is the adjacent leg. The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.

cos 22° = adj/hyp

cos 22° = x/15

x = 15 × cos 22°

x = 13.9

Answer: x = 13.9

Big Sam, an engineer of the Oval Express says: "We blew off a cylinder head an hour after leaving the station and had to continue the trip at three-fifths of the former speed, which brought us in two hours late. If the accident had occurred fifty miles father on, the train would have arrived forty minutes sooner". Based on Sam's description, how long was the run between the two train stations?
A. 150 miles
B. 200 miles
C. 250 miles
D. 300 miles

Answers

Answer is B. 200 miles

{(y/50)+2} hour=y/30 hour gives y=150 miles. Since, the train already had covered 50 miles at full-speed before the cylinder blew, so the run between the stations was 50+150=200 miles.

Answer:

Ig 200 miles

Step-by-step explanation:

I am guessing

Can anyone help me with the first question? It’s for my study guide I would really appreciate it

Answers

The answer would be Quadratic

1. The total amount of what you eam during the pay period before taxes and deductions are taken out is known as what?
Wage
Net pay
Salary
Gross pay

Answers

Answer:

net pay if im not mistaking

Step-by-step explanation:

Stacy started a banking account with $150 and is spending $7 per day on lunch. This situation models which type of function?
ОООО
linear function
quadratic function
exponential function
None of these choices are correct.

Answers

Answer:

Linear

Step-by-step explanation:

She is spending the same amount per day, so it is linear

Solve the proportion. x/6 = 20/24

Answers

X/6 = 20/24

Cross multiply:

24x = 120

Divide both sides by 24

X = 5

Answer: x = 5

Pls help thank you so much

Answers

The ANSWER is C. 3(5x+1)

A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is periodically selected and weighed to determine whether under-filling or over-filling is occurring. If the sample data lead to a conclusion of under-filling or over-filling, the production line will be shut down and adjusted to obtain the proper filling.
a. Formulate the null and alternative hypotheses that will help in deciding whether to shut down and adjust the production line.
b. Comment on the conclusion and the decision when the null hypothesis cannot be rejected.
c. Comment on the conclusion and the decision when the null hypothesis can be rejected.

Answers

Answer:

b

Step-by-step explanation:

mark brainliest pls....

Help me with these worksheets pls

Anything would help BUT PLS ANSWER IT CORRECTLY, If you don't know, just IGNORE THIS AND DON'T JUST COME FOR THE POINTS.

Answers

Answer:

1. yes

2.no

3.yes

4.no

5.yes

HELP ME. NO LINKS!! PLEASE

Answers

Answer:

it's ether d or a

Step-by-step explanation:

i hope this helps you!

two vectors a and b are inclined at a angle of 60° with each other. its resultant makes angle of 45° with a and value of resultant is 2 sqrt 2 . find the component​

Answers

Answer:

[tex]\blue{\rule{100pt}{999999pt}}[/tex] [tex]\blue{\rule{100pt}{999999pt}}[/tex]

In 7 hours, Deandre reads 42 chapters of a book.
What is his rate in chapters per hour?

Answers

Answer:

6 chapters per hour

Step-by-step explanation:

[tex]\frac{42 (chapters)}{7 (hours)} =6[/tex]

Hope this helps

Other Questions
Ethnocentrism and different communication codes are examples of _______________.a.unavoidable communication problemsb.intercultural communication barriersc.ways to avoid communication barriersd.cultural characteristicsPlease select the best answer from the choices providedABCDB???? Which is the graph of y = [x]-2? Quote: "Youth is the seed time of good habits, as well in nations as in individuals"How does Thomas Paine compare a nations youth with an individuals youth? A compound has the following percentage composition: 40.0% carbon, 6.72% hydrogen, 53.28% oxygen. What is the amount of carbon moles in 200g of the compound? Are gender traits completely a result of societal expectations? Discharge instruction, or teaching the woman what she needs to know to care for herself and her newborn, officially begins: PLEASEE HELPP I FORGOT HOW TO DO DIS ! If a client must wait too long for software that works, he might attempt to add requests for more and more features to be added to the program. This is known as ________. In which region of the United States did women largely have the right to vote before the Nineteenth Amendment was passed? Which is one reason that sociologist cite to explain? Ellen Sewell's younger brother is the last official student in Henry and John Thoreau's class. Ellen says he leaves because 90% of _______ is 18. what is the topic of "Alone on the Hilltop" Which word is a synonym of disperse? narvez 5. Everyone in Dobby's family has a long nose and they brag that they are from a purebred line. Viola has a stubby nose. Draw a punnett square to determine the possible types of noses their children could have had. (Use the genotypes from #2) a. List the possible genotypes and phenotypes for their children. b. What are the chances of a child with a long nose? out of or % c. What are the chances of a child with a stubby nose? out of st or__% d. Would their children be considered purebred like Dobby? Explain: Read the theme.Even when things seem dreary, there is always hope.How does this theme develop over the course of "Golden Days"?The flowers are asleep in winter, not dead, and the sun shines even when it is hidden.One long Maytime is full of playtime and golden days.There are winter days that seem endless and cold.Songs are written in different keys to express certain emotions. Where are 2 places you can search for apps that work with quickbooks online?. help me pweasJacob sells homemade skateboard decks for a profit of $27 per deck. He is considering switching to a new type of material that will increase his profit, as expressed by the function y = 32x, where x is the number sold and y is the amount of profit.How many more dollars will Jacob earn on each skateboard deck if he switches to the new material? Explain how you found your answer. (5 points) Pls help Ill brainlest Im failing Help as soon as possible