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

How do you know where to place the decimal in a quotient?

Answers

Answer:

Step-by-step explanation:Move the decimal point in the divisor and dividend. ...

Place a decimal point in the quotient (the answer) directly above where the decimal point now appears in the dividend.

Divide as usual, being careful to line up the quotient properly so that the decimal point falls into place.

pls can u help me with this question

Answers

Answer:

yes less than a min

Step-by-step explanation:

Write and expression for the senqence of operations described below.

raise 6 to the 2nd power, then subtract r from the result

Do not simplify any part of the expression.​

Answers

Raise [tex]6[/tex] to the second power, [tex]6^{2}[/tex], the subtract r from the result, that should be [tex]6^{2} - r[/tex], since we are not to simplify the expression, that's the answer.

Hogie lizards have tail lengths that are normally distributed with a mean of 22.5 cm and a standard deviation of 3.6 cm. What tail length is at the 40th percentile for these lizards?

Answers

A tail length of 23.94 cm is at the 40th percentile for these lizards.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x\ is\ raw\ score, \mu\ is\ mean,\sigma\ is\ standard\ deviation\\\\\\Given\ that:\\\mu=22.5\ cm,\sigma = 3.6\ cm[/tex]

For the 40th percentile, that is z = 40% = 0.4:

[tex]0.4=\frac{x-22.5}{3.6} \\\\x=23.94\ cm[/tex]

A tail length of 23.94 cm is at the 40th percentile for these lizards.

Find out more at: https://brainly.com/question/15016913

Solve the proportion

4
x
=
9
6

Answers

[tex]\huge\text{\bf Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{4x = 96}}\\\\\large\text{DIVIDE 4 to BOTH SIDES}\\\\\huge\boxed{\mathsf{\dfrac{4x}{4} = \dfrac{96}{4}}}\\\\\large\text{CANCEL out: }\rm{\dfrac{4}{4}}\large\text{ because it gives you 1}\\\large\text{KEEP: }\rm{\dfrac{96}{4}}\large\text{ because it helps solve for the x-value}\\\\\large\text{NEW EQUATION: }\huge\boxed{\rm{x = \dfrac{96}{4}}}\\\\\large\text{SIMPLIFY IT\textbf{!}}\\\\\huge\text{x = \bf 24}\\\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{x = 24}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Ok done. Thank to me:>

please help!! 100 points

Answers

Answer: -6

Explanation:
Plug in 4 for x
H(4)=1/5(4^2-6)-8
After solving you should get -6

[tex]\\ \tt\bull\rightarrowtail h(x)=1/5(x^2-6)-8[/tex]

[tex]\\ \tt\bull\rightarrowtail h(4)[/tex]

[tex]\\ \tt\bull\rightarrowtail 1/5(4^2-6)-8[/tex]

[tex]\\ \tt\bull\rightarrowtail 1/5(16-6)-8[/tex]

[tex]\\ \tt\bull\rightarrowtail 10/5-8[/tex]

[tex]\\ \tt\bull\rightarrowtail 2-8[/tex]

[tex]\\ \tt\bull\rightarrowtail -6[/tex]

At a local college, 204 of the male students are smokers and 306 are non-smokers. Of the female students, 180 are smokers and 420 are non-smokers. A male student and a female student from the college are randomly selected for a survey. What is the probability that both are smokers?

Answers

Step-by-step explanation:

Male ratio: 204:306 = 2:3 (66%)

Female ratio: 180:420 = 3:7 (42%)

Hope that helps

Answer:

both are non smokers is 0.48.

The movement of the progress bar may be uneven because questions can be worth more or less (ir
Add: (– 15xz + 4xy) + (20xy - 9yz + 16xz)

O 24x2 y2 – 9yz + x² zº
0 16xyz
0 5xy – 5 yz + 16xz
024xy - 9yz + xz

Answers

Your Answer Is : - 31xz + 16xy - 9yz

The answer is -31xz +16xy-9yz

Write the ratio 1 1/3 to 3 1/9 as a simplified fraction

Answers

Answer:

First ratio:4/3

Second:28/9

11
Y1
0
4
1
12
2
36
3
108
Write an explicit function

Answers

56566965577553666645556566667






6
0 0 0
TIME RE
44
Jeremiah flies an airplane for 2.7 hours at an average speed of 304.6 miles per hour. How far did Jeremiah fly?

Answers

Answer:

112.81 miles

Step-by-step explanation:

304.6 divided by 2.7

will give brainly if you help me thx

Answers

Answer:

A

Step-by-step explanation:

The answer is A because is it asking for a 3 in the hundredths place of the difference. Difference means subtraction. And you can find the hundredth spot in the second place over from the decimal

(ex. 1.23, hundredth place is a 3)

So then you do the math and find the differences.

14.56-9.33=5.23, which has a 3 in the hundredth place.

Please help me solve this question I'm stuck on

Answers

The answer to the question is

D)  ($9. 60, $9. 84)

A random variables X and Y are distributed according to the joint PDF. The value of constant a = _______.f(x,y)=ax if 1<=1x<=y<=2 and 0 otherwise

Answers

Answer:    3/2

======================================================

Explanation:

PDF = probability density function

The given joint PDF is

[tex]f(x,y) = \begin{cases}ax \ \ \ \text{ if } 1 \le x \le y \le 2\\0 \ \ \ \ \ \text{ otherwise}\end{cases}[/tex]

Let's focus on the [tex]1 \le x \le y \le 2[/tex]. Specifically the x term for now. Erasing out the y term, we have the inequality [tex]1 \le x \le 2[/tex] which says x is between 1 and 2, inclusive. We have almost the same story for y, but there's another condition attached to it: y must also be equal to or larger than x.

So let's say x = 1.5. This would mean [tex]1.5 \le y \le 2[/tex]. As another example, x = 1.7  leads to [tex]1.7 \le y \le 2[/tex]. In general, we would say [tex]x \le y \le 2[/tex] where x is between 1 and 2.

As x gets bigger, the range of possible y values gets smaller. If x = 2, then y has no choice but to be 2 as well.

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

Based on that, we'll have a double integral that looks like this:

[tex]\displaystyle V = \int_{1}^{2}\int_{x}^{2}f(x,y)dydx\\\\[/tex]

The outer integral handles the x terms that range from 1 to 2, describing [tex]1 \le x \le 2[/tex]. Note the dx on the outside. The order of the dy and dx matters.

On the inside, we have the integral for dy ranging from x to 2 to describe the interval [tex]x \le y \le 2[/tex]

To have f(x,y) be a PDF, the volume under the f(x,y) surface must be 1, where the volume is based on the bounds set up. So we must have V = 1. We'll use this later.

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

Let's simplify the double integral.

We'll start by computing the inner integral with respect to y.

[tex]\displaystyle V = \int_{1}^{2}\int_{x}^{2}f(x,y)dydx\\\\\displaystyle V = \int_{1}^{2}\int_{x}^{2}\left(ax\right)dydx\\\\\displaystyle V = \int_{1}^{2}\left(axy\Bigg|_{x}^{2}\right)dx\\\\\displaystyle V = \int_{1}^{2}\left(ax(2) - ax(x)\right)dx\\\\\displaystyle V = \int_{1}^{2}\left(2ax - ax^2\right)dx\\\\[/tex]

Then we'll finish it off by integrating with respect to x.

[tex]\displaystyle V = \int_{1}^{2}\left(2ax - ax^2\right)dx\\\\\displaystyle V = \left(ax^2 - \frac{1}{3}ax^3\right)\Bigg|_{1}^{2}\\\\\displaystyle V = \left(a(2)^2 - \frac{1}{3}a(2)^3\right) - \left(a(1)^2 - \frac{1}{3}a(1)^3\right)\\\\\displaystyle V = \left(4a - \frac{8}{3}a\right)-\left(a - \frac{1}{3}a\right)\\\\[/tex]

[tex]\displaystyle V = 4a - \frac{8}{3}a-a + \frac{1}{3}a\\\\\displaystyle V = 3a - \frac{8}{3}a + \frac{1}{3}a\\\\\displaystyle V = \frac{9}{3}a - \frac{8}{3}a + \frac{1}{3}a\\\\\displaystyle V = \frac{9-8+1}{3}a\\\\\displaystyle V = \frac{2}{3}a\\\\[/tex]

Side note: We don't have to worry about the "plus C" integration constant when working with definite integrals.

Recall that V = 1. So,

[tex]\displaystyle V = \frac{2}{3}a\\\\\displaystyle \frac{2}{3}a = 1\\\\\displaystyle a = \frac{3}{2} = 1.5\\\\[/tex]

a = 3/2 is the final answer.

the number obtained on rationalizing the denominator of 1/(√7--2) is

Answers

[tex] \frac{1}{ \sqrt{7} -(- 2)} \\ rationalizing \: \: \: the \: \: \: denominator \: \: \: we \: \: \: have \\ = \frac{1}{ \sqrt{7} + 2 } \times \frac{ \sqrt{7} - 2}{ \sqrt{7} - 2} \\ = \frac{ \sqrt{7} - 2}{ {( \sqrt{7} )}^{2} - {(2)}^{2} } \\ = \frac{ \sqrt{7} - 2 }{7 - 4} \\ = \frac{ \sqrt{7} - 2}{3} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Given that:

1/(√7 - 2)

The denominator is (√7-2).

We know

The rationalising factor of (√a-b) is (√a+b)

Therefore, the rationalising factor of √7-2 is √7+2.

On rationalising the denominator them

⇛[1/(√7-2)]×[(√7+2)/(√7+2)]

⇛[1(√7+2)]/[(√7-2)(√7+2)]

Since, (a-b)(a+b) = a²-b²

Where, a = √7 and b = √2.

⇛[1(√7+2)]/[(√7)²-(2)²]

⇛[1(√7+2)]/[(√7*7)-(2*2)]

⇛[1(√7+2)]/[7-4]

⇛[1(√7+2)]/3

⇛(√7+2)/3

Hence, the denominator is rationalised.

also read similar questions:

Simplify.
(2a2−3ab+5b2)−(a2−2ab+3b2)
A.a4−a2b2+2b4
B.3a2−5ab+8b2
C.a2−5ab+2b2
D.a2−ab+2b2

Simplify. (6x−3)−(2x−2)
A.4x2−1
B.4x−1
C.4x−5
D.4x2−5

Answers

Answer:

DB

Step-by-step explanation:

You may find this easier if you distribute the minus sign first.

1)

2a^2 -3ab +5b^2 -a^2 +2ab -3b^2

  = (2 -1)a^2 +(-3+2)ab +(5 -3)b^2

  = a^2 -ab +2b^2 . . . . . matches choice D

__

2)

6x -3 -2x +2

  = (6 -2)x +(-3 +2)

  = 4x -1 . . . . . matches choice B

Pls help I’m failing I’ll brainlest and add extra points ASAP help with both

Answers

9) +1/6 if it’s not fractions tell me

Answer:

The slope of the one of the top is -1/4

The slope of the one on the bottom is 1/6

Step-by-step explanation:

The one on the top goes down by 1 (negative) and goes 4 to the right (positive), which can be written as -1/4, which is the slope.

The one on the bottom goes up by 1 (positive) and goes to the right by 6 (positive), which can be written as 1/6, which is is the slope.

Help help help help math please ASAP

Answers

Answer:

I think its 86

Step-by-step explanation:

As the two lines going in the same direction are parallel and angles within parallel lines add to 180.

so 180-94=86

94 and angle 5 are supplementary angles so
94 + angle 5 = 180
angle 5 = 180 -94
angle 5 = 86
Hope this helps

The length of a rectangle is times the width. If the perimeter is 32 inches, what is the width of the rectangle

Answers

Let width be “w", length = “l" and perimeter = p

Then l = 3w-4

Perimeter = 2(w+l)

p = 2(w+3w-4) = 2w+6w-8 = 8w-8

Perimeter is 32…

8w-8 = 32

8w = 32+8

8w = 40

w = 5

l = (3×5)-4 = 11

Check… p = 2(5+11) = 2 × 16 = 32

Ans = length is 11

Hope it helps!

Answer:

11

Step-by-step explanation:

QD = 20000 -3P QS = 15000 +2P

Answers

The equilibrium price of the commodity at the given demand and supply is 1,000.

The given parameters:

Quantity demanded, QD = 20,000 - 3PQuantity supplied, QS = 15,000 + 2P

The equilibrium price of the commodity is calculated as follows;

At equilibrium price, the demand curve and supply curve cross each other.

[tex]QS= QD\\\\15,000 +2P = 20,000 - 3P\\\\2P+3P = 20,000 - 15,000\\\\5P = 5,000[/tex]

[tex]P = \frac{5,000}{5} \\\\P = 1,000[/tex]

Thus, the equilibrium price of the commodity is 1,000.

The complete question is below;

Determine the equilibrium price, if QD = 20000 -3P  and QS = 15000 +2P.

Learn more about equilibrium price here: https://brainly.com/question/22569960

A single die is rolled twice. The 36​ equally-likely outcomes are shown to the right.
Find the probability of getting two numbers whose sum exceeds 20.

Answers

Answer:

If the die is 6 sided then the likely is none (0)

Step-by-step explanation:

Hope this helps!:)

Which unit rate is equivalent to 12 miles per gallon? 24 miles 2 gallons 2 gallons 24 miles 36 miles 4 gallons 4 gallons 36 miles​

Answers

Answer:

24/2

Step-by-step explanation:

Help on this algebra 2 question look at the pic. Is it’s A, B or C

Answers

Answer:

A is correct

Step-by-step explanation:

perimeter is twice the sum of the two adjacent sides

p = 2(x + (2x³ - 3x + 4))

p = 2(2x³ - 2x + 4)

p = 4x³ - 4x + 8

Choose B it is the correct answers for you thanks

Subtract 95 800 by 28 766 ?
please please please help!!

Answers

Answer: 95,800 - 28,766 = 67,034

Step-by-step explanation: hope this helps :)

I think it’s 67,034

What is an equation of the line that passes through the points (8,-4) and (6,-5)?

Answers

Answer:

y=1/2x-8

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-5-(-4))/(6-8)

m=(-5+4)/-2

m=-1/-2

m=1/2

y-y1=m(x-x1)

y-(-4)=1/2(x-8)

y+4=1/2(x-8)

y=1/2x-8/2-4

y=1/2x-4-4

y=1/2x-8

please help ill mark brainliest​

Answers

Answer:

it's 11

Step-by-step explanation:

a sphere has a volume of 2,304 pi mm3. find the diameter of the sphere

Answers

Answer:

24

the formula of sphere is

[tex]v = \frac{4}{3} {r}^{3} [/tex]

Since we know the volume, and have to find the diameter (twice the radius), we need to determine the radius first.

Hence, using the given data:

[tex]2304\pi = \frac{4}{3} \pi {r}^{3} [/tex]

We can cancel

We can cancel π from each side.

[tex]2304 = \frac{4}{3} {r}^{3} [/tex]

Multiply both sides by

[tex] \frac{3}{4} [/tex]

hope I help you ☺️❤️

What is the vertical shift for the absolute value function below f(x) =9 |x+1|+2

Answers

Answer:

Slide UP 2

Step-by-step explanation:

In the equation,

f(x) = 9|x+1| + 2

There are three transformations of the parent function f(x)=|x| (this is the simplest form of this function, it's a v-shaped graph)

The 9 in front will vertically stretch the graph and make it look like a "skinny" v-shaped graph.

The +1 in close to the x inside the absolute value bars |x+1| will shift (slide) the graph to the left (it's the opposite of what you might think-- 'plus' shifts the graph left and 'minus' shifts the graph right)

The +2 at the end is the transformation you're looking for. It slides the graph as you would expect UP 2 units. If it was a minus it would shift the graph down instead.

112
121
124
137
147
156
173
189

Find the median revenue.

Answers

Answer:

142

Step-by-step explanation:

Median is the MID Number

Help me out Ik you love Algebra as much as I do

Answers

Answer:

                                 pop

                                             yes                   no             total

country            yes                  11                      38              49

                        no                       43                     8                51

                         total                54                     46               100

Hope you understand this haha

The answer is in the file. Hope it helps.

Other Questions
One day the temperature started at - 8 F and dropped 17 by the end of the day. What was the temperature at the end of the day? who lost the French and Indian War and how was the land divided after the war? Throughout the poem, the rain forest is presented as a place that is How did Great Britain help representative governments in the thirteen colonies grow? A sample of n = 5 scores has M = 20 and s2 = 4. What is the sample standard deviation?O 20O 502O 16 What is the image point of (1,4)(1,4) after a translation left 5 units and down 5 units? normal body temperature SPANISH! WILL MARK BRAINLIEST! (AND 30 POINTS EACH)Here is the link, listen to the audio! I know it sketchy sorry! I swear it leads only to the audio rec.https://cdnapisec.kaltura.com/html5/html5lib/v2.91/mwEmbedFrame.php/p/2061901/uiconf_id/36511471/entry_id/0_4cmj1wyu?wid=_2061901&iframeembed=true&playerId=Kaltura_1&entry_id=0_4cmj1wyu#QUESTION: What items did I buy? I spent 820 colonesA- dress, hat, wallet/purseB- wallet/purse, hat, shirtC- 2 shirts and a wallet/purseD- a dress and two hats/capsTHANK YOU SO MUCHHHH!!! Arianna, a single taxpayer, had wage income of $59,475 in 2020. Her only other income was dividend income reported to her on Form 1099-DIV. She is required to file a Schedule B if her dividend income is greater than: (Brainliest question) Which type of study best describes the following research most likely to be done? A researcher is trying to determine the effects of animal habitats and animal populations after forest fires. So she visits places that have had a naturally occurring Forest fire to study the area. Experimental study Observational studySimulation studyDouble blind study the ____ changes when electrons are gained or lost. present perfect tense Select all that apply.Zack is taking a test in which he answers questions at a rate of question per minute. If Q represents questions andM represents minutes, which of the following equations describe this rate relationship?M= 20 x QQ = 2 x MM=1/2 x QQ=1/2 x M Convert 63F to degrees Celsius.If necessary, round your answer to the nearest tenth of a degree.Here are the formulas.599F=-C+325c=E(F-32)+ When Americans moved west to settle our country, they did this for many reasons. Identify one example of a pushfactor and one example of a pull factor that may have encouraged Americans to make this journey. Write your answerin at least two to three sentences.Save and ExitNextSubmitMark this and return Does light have a shadow? What is one drawback shared by both monopolies and oligopolies. How did Georgia differ from colonies in the north -2(4x-6)=6-6x help me At midday, what is happening in the leaf of a plant?.