The sum of a number and twice its reciprocal is
9/2. If the number is an integer, find the number.

Answers

Answer 1

Answer:

x + 2/x = 9/2

multiply through by x

x2 + 2 = (9/2)x

multiply through by 2

2x2 + 4 = 9x

2x2 - 9x + 4 = 0

We can factor by grouping.  2(4) = 8 ...

taken from coefficient of square term and the constant ...

Factors of 8 that add to -9 are (-8)(-1):

Replace -9x with -8x - x

2x2 - 8x - x + 4 = 0

(2x2 - 8x) - (x - 4) = 0

2x(x - 4) - (x-4) = 0

(2x-1)(x-4) = 0

2x-1 = 0 and x = 1/2

OR

x-4 = 0 and x = 4

Your two answers are {1/2, 4}

Please mark brainliest for further answer :)


Related Questions

Please help I’ll mark you as brainliest if correct!

Answers

Answer: 200+50m>1,250

Step-by-step explanation:

It starts with 200 so that is by itself. The m is added to the number that is changing every so often, in this case $50 a month. They need more than $1,250 so we use the greater than sign.

Please help I’ll mark you as brainliest if correct!

Answers

Answer: 18

Explanation: 18 times 2.5 is 45. 45 +18=63

Answer:

the answer would be 25 because to get the answer you would take 63 and divide it by 2.5 and you will get 25.2 then rounding it to the nearest 10th would be 25

then after you get 25 you would put it into the equation 2.5(x) = 63 which would be 2.5(25)=63. that it y 25 would be the correct answer.

Hope this helped

What's the inequality?

Answers

Answer:

I believe the answer is D coorrect me if im wrong

Step-by-step explanation:

if im right brainliest?

or 5 stars and heart

I’m pretty sure that the answer is D

What is the slope of y = x + 5?

Answers

Answer: look at the picture and I can’t solve y for you.

Step-by-step explanation: Hope this help :D

The answer is 5 is very simple like 5-5 is 0 and add 5 and 0 and their 5

Which choice is equivalent to the quotient below? ​

Answers

Hopes this helps:

Answer: B. 4

If you are just building your payment history, how many points from a perfect score will you possibly miss?
A. 297.5
B. 85
C. 255
D. 127.5

Answers

I think c maybe not sure or choose one who you think it is I am not 100% sure

Answer: 297.5

Step-by-step explanation:

Your credit history is 35% of your credit score. The highest points in credit is 850. Since you have no credit score, you would do (850)(0.35) which equals 297.5

Find the interquartile range of the following data set 3,9,12,4,6,40,25,14,10​

Answers

14.5 is the Interquartile range

To find it you take the 75th Percentile (19.5) and subtract it from the 25th Percentile (5)

19.5-5 = 14.5

Find the measure of angles 1-7

Answers

Answer:

no hablo espanol no mas

Step-by-step explanation:

Solve the system of equations by graphing. Look at the picture. Will Mark Brainliest​

Answers

Answer:

See below

Step-by-step explanation:

Graphing:

we are given two functions

[tex] \displaystyle \begin{cases}f(x) = - x + 5 \\ g(x) = {x}^{2} - 3x + 2\end{cases}[/tex]

where f(x) is a linear function and g(x) is a quadratic function

we want to figure out the solutions of the function

let's graph f(x):

the Black-table is attached

let's graph g(x):

the picture is attached

hence, the graph should be

the graph is attached

solutions stating:

so we need solution(s) which satisfy(ies) the both functions

in this case the solution (s) the x coordinate(s) where both functions intercept we get from the graph that both functions intercept at (-1,6) and (3,2)

hence,

x={-1,3}

Ian needs to order some new supplies for the restaurant where he works. The
restaurant needs at least 593 spoons. There are currently 161 spoons. If each set on
sale contains 6 spoons, write and solve an inequality which can be used to determine
X, the number of sets of spoons Ian could buy for the restaurant to have enough
spoons

Answers

Answer:

72 sets

Step-by-step explanation:

(Easy way)

593 -161=432 spoons needed

432/6 =72 sets

(Harder way)

6= 1

432 =x

432 = 6x

x=72

Answer:

Inequality: 6x + 161 ≥ 593

Answer: x ≥ 72

Step-by-step explanation:

Have a good day :)

Hey guys, I just got braces and they are really uncomfy so how long did it take yall to get used to them?

Answers

Answer:

it took me like 1-2 months to be honest. after that it just feels normal

Step-by-step explanation:

I had them and it took about a month or two

A rectangle measures 2 1/2 meters by 1 3/4 meters. What is its area?

Answers

Answer:

4 3/8

Step-by-step explanation:

1. We can use the formula

Area = L (length) x W (width)

2. The area is unknown so we can substitute it for a

  The length and width are both known, so we can plug them in.

a= 2 1/2 x 1 3/4

3. Solve by multiplying

a=4 3/8

Area of the rectangle is [tex]4\frac{3}{8}[/tex] meter square

What is Area?

Area is the quantity that expresses the extent of a region on the plane or on a curved surface

What is rectangle?

Rectangle is a quadrilateral with four right angles

Area of the rectangle = Length × Width

Length of the rectangle = [tex]2\frac{1}{2} =\frac{5}{2}[/tex]

Width of the rectangle = [tex]1\frac{3}{4}=\frac{7}{4}[/tex]

Area of the rectangle = [tex](\frac{5}{2}).(\frac{7}{4})=\frac{35}{8}=4\frac{3}{8}[/tex] meter square

Hence, the area of the rectangle is [tex]4\frac{3}{8}[/tex] meter square

Learn more about Area and rectangle here

https://brainly.com/question/9655204

#SPJ2

Brendon is a ticketing clerk at a zoo. Which of the following is a statistical question that Brendon can be asked?
A. What is the price of the entry ticket for adults?
B. How many children visited the zoo last Sunday?
C. How many adults visited the zoo on Sundays?
D. What time does the zoo open?

Answers

Answer:

Letter A

Step-by-step explanation:

He is the ticket clerk so it makes sense people would ask about the ticket prices.

what is the definition of a vertex​

Answers

A vertex is a point where two lines or rays meet

Find x in each triangle! Will award brainliest

Answers

Answer:

First triangle x=9

Second triangle x=20

Step-by-step explanation:

Using Pythagorean theorem

40^2+x=41^2

1600+x^2=1681

-1600        -1600

x^2=81

To find x we do the opposite of powers and find the squared

x=9

Second triangle

21^2+x^2=29^2

441+x^2=841

-441        -441

x^2=400

x=20

The perimeter of the base of a right square pyramid is 32 cm. The height of the pyramid is 8 cm. What is the volume of the pyramid?

Answers

The formula is V = 0.5 X b X a X h.
Plug in numbers X is a multiplication sign

A rectangle has a perimeter of 42 ft its length, L, is 3 feet more than twice its width, W.

(c) Solve the system of equations that you just created by substitution to find the values of the length and width.​

Answers

Answer:

Length of rectangle = 15 feet

Width of rectangle = 6 feet

Step-by-step explanation:

Given:

Perimeter of rectangle = 42 ft

Length of rectangle = 2[Width of rectangle] + 3

Find:

Value of length and width

Assume:

Width of rectangle = w

SO,

Length of rectangle = 2[w] + 3

Perimeter of rectangle = 2[l + b]

42 = 2[2w + 3 + w]

2[3w + 3] = 42

6w + 6 = 42

6w = 42 - 6

6w = 36

w = 36 / 6

w = 6

So,

Width of rectangle = 6 feet

Length of rectangle = 2[w] + 3

Length of rectangle = 2[6] + 3

Length of rectangle = 12 + 3

Length of rectangle = 15 feet

Write the equation of the line in SLOPE- INTERCEPT form:
1. (4, 2); slope 3
2. (3, -1); slope 4
3. (-4,-2), (4,0)

Answers

Answer:

Step-by-step explanation:

1) slope = m = 3

(4 , 2) ;  x₁ = 4 ; y₁ = 2

y - y₁ = m(x  - x₁)

y - 2 = 3(x - 4)

y - 2 = 3x - 4*3

y - 2 = 3x - 12

y  = 3x - 12 + 2

y = 3x - 10     {Slope -intercept form: y = mx + b}

3) (-4 , -2) , (4 , 0)

We have to find the slope

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{0-[-2]}{4-[-4]}\\\\=\frac{0+2}{4+4}\\\\=\frac{2}{8}\\\\=\frac{1}{4}\\[/tex]

m = 1/4  ; (4 , 0)

y - y₁ = m(x  - x₁)

[tex]y - 0 = \frac{1}{2}(x - 4)\\\\y =\frac{1}{2}x - 4 *\frac{1}{2}\\\\y =\frac{1}{2}x - 2[/tex]

A full bottle holds 1/4gallon of juice, If of3/5
the juice has beenpored how much
juice is left in the bottle?

Answers

Answer:

1/10 gallon

Step-by-step explanation:

2/5 left of 1/4 gallon

2/5 x 1/4 = 2/20 = 1/10 gallon

The eight subjects used for this comparison were not a random sample. In fact, they were friends of the researchers whose ages and weights were similar to the types of people who would be measured with this DXA. Comment on the appropriateness of this procedure for selecting a sample, and discuss any consequences regarding the interpretation of the significance testing and confidence interval results.

Answers

Answer:

The sample may be a representative of the future of the future subjects, but the test results and confidence interval are suspect  because it is not a random sample

Step-by-step explanation:

When the subjects used for a research are not a random sample but friends whom share similar qualities/quantities related to the purpose of the experiment. The sample may be a representative of the future subjects, but the test results and confidence interval will not be reliable enough to be accepted as standard simply  because it was not a random sample

Hence the comment :The sample may be a representative of the future of the future subjects, but the test results and confidence interval are suspect  because it is not a random sample

The sample mean is a statistic. True or false​

Answers

Answer:

true

Step-by-step explanation:

where is -3 3/4 on a number line​

Answers

Answer:

here lol https://imageshare.best/8R2I7D

Step-by-step explanation:

But wheres the picture...

This is hard please help

Answers

Answer:

SA = 208 in²

Step-by-step explanation:

SA = 2(2)(7) + 2(2)(10) + 2(10)(7) = 208 in²

Answer:

208 in^2

Step-by-step explanation:

SA: 2(w · l + h · l + h · w)       formula

SA: 2(2 · 7 + 10 · 7 + 10 · 2)      plug the numbers in- w: width, l: length, h: height

SA: 2(14 + 70 + 20)          find area of 3 sides with different areas

SA: 28 + 140 + 40       doubling

SA: 208       final answer

Help urgent!! I’ll give branliest

Answers

Answer:

8.81

Step-by-step explanation:

Answer:

18.01 tak   myśle

The product of two consecutive odd integers is 63. If x is the smallest of the integers, write an equation in terms of x that describes the situation, and then find all such pairs of integers.

The equation that describes the situation is __________________
The positive set of integers is _________________
The negative set of integers is _________________

Answers

9514 1404 393

Answer:

x(x+2) = 637, 9-9, -7

Step-by-step explanation:

If x is an odd integer, the next greater odd integer is x+2. The product is said to be 63, so the equation is ...

  x(x +2) = 63

__

The equation can be rewritten as ...

  (x +1)² = 64

  x = -1 ±√64 = -1 ±8

The positive solution is x=7, so the positive set of integers is {7, 9}.

The negative solution is x=-9, so the negative set of integers is {-9, -7}.

1. Simplify the expression below.
2(x + 2) + 3(-x-7) -5 ( 2x - 4)

Answers

Answer: -11x+15

Step-by-step explanation: distributed property: 2x+2-3x-7-10x+20, -11x+15

The principal is interested in knowing whether the staff members in the entire school would prefer having meetings before school or after. The principal conducts a random sample from the following groups:

All staff members
All students
All the front office staff
All the male teachers
Which of the following would provide the best results for the survey? (3 points)

a
All the male teachers

b
All staff members

c
All students

d
All the front office staff

Answers

Answer:

B all staff members, but if your going for misogynistic path than A

Type the correct answer in the box.
2 units
2 units
2 units
8 units
2 units
2 units
2
2 units
6 units
The area of the figure is
square units.

Answers

The area of the figure is 80 units

What is the volume of the cube of 3.1 m?

Answers

Answer:

21.79 idrk good luck sbnsjsnsjsnsjznsnz xnddn

Answer:

V = A3 i believe im not at explaining stuff ;^;

A girl with a height of 5 ft casts a shadow of 2 ft. What would be the height of a building that casts a shadow 50 ft long at the same time?​

Answers

Answer:The person is 5feet, 6inches Note: 12 inches= 1 foot, so 6 inches= 1/2 a feet and 6 inches= .5 feet

Step-by-step explanation:

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