The sum of a number and six times its reciprocal is 10. Find the number​

Answers

Answer 1

Answer:

two solutions work: x = 5 + [tex]\sqrt{19}[/tex] and x = 5 - [tex]\sqrt{19}[/tex]

Step-by-step explanation:

x + 6 ( 1/x ) = 10

x^2 + 6 = 10x

x^2 - 10x + 6 = 0

x = 5 + [tex]\sqrt{19}[/tex], 5 - [tex]\sqrt{19}[/tex]


Related Questions

solve the following: 8x(x-5)-25=5x(x-6) ​

Answers

Answer:

Step-by-step explanation:

Answer:

x = -5/3; x = 5

Step-by-step explanation:

8x(x - 5) - 25 = 5x(x - 6); Given

8x^2 -40x - 25 = 5x^2 - 30x; Multiply/Simplify

3x^2 - 10x - 25 = 0; Addition Property of Equality

(3x + 5)(x - 5) = 0; Factor

x = -5/3; x = 5; Solve

PRACTICE ANOTHER The administration of a large university wants to take a random sample to measure student opinion of a new food service on campus. It plans to use a scale from 1 to 100, on which 1 is complete dissatisfaction and 100 is complete satisfaction. The administration knows from past experience with such questions that the standard deviation for the responses is going to be about 3, but it does not know what to expect for the mean. It wants to be almost sure that the sample mean is within plus or minus 1 point of the true population mean value. How large, n will the random sample have to be

Answers

Answer:

81 samples

Step-by-step explanation:

According to the empirical rule :

Possible values of the sample mean is within 3 standard deviations of the population mean :

μ ± 3 sd(x) ; sd(x) = standard deviation of sampling distribution.

3 * sd(x) = 1

sd(x) = 1/3

Recall:

Standard deviation of sampling distribution, sd(x)

sd(x) = σ / sqrt(n)

1/3 = 3 / sqrt(n)

Square both sides

1/9 = 9/n

Cross multiply :

n * 1 = 9 * 9

n = 81

A home has a room with length 22 feet and width 25 ft.
Which dimensions could represent a scale model of the room?
O length = 6.5 in.; width = 7.5 in.
O length
= 11 in.; width = 12.5 in.
O length = 13 in.; width = 14 in.
O length = 17.6 in.; width = 19.5 in.

Answers

Answer:

O length = 11 inches width = 12.5 inches

Step-by-step explanation:

hi besties if you are looking for 50+ brainiest bonus points and brainiest answer this question correctly plz

Answers

Just do 2/5 multiplied by 325 to get 130!! :)

Answer: Well if you do 325 ÷ 2/5 = 130. If you try process of elimination with the numbers you’d get the right answer! Like there’s no way you could do 325 - 2/5 cause you’d get 324.6, and adding it you’d get 325.4 so your only thing left to do is multiply :)

Step-by-step explanation:

calculate the variance and standard deviation for the following samples set of data. 83.6,92.3,56.5,43.8,77.1,66.7. (Do not round intermediate calculation. Round your final answers and the nearest tenth.)​

Answers

Answer:

Variance: 322.4479999999996

Standard Deviation: 17.956837137981722

Translate and solve the following: The sum of x and −15 is 23.

Answers

x + (-15) = 23
x - 15 = 23
x = 38

5X=(X+1)×4
send some help​

Answers

Answer:

x = 4

Step-by-step explanation:

So you multiply all in the ( x + 1) by 4 so 4 times x equals 4x and 4 times 1 is 4

5x = 4x + 4 subtract 3x because that is the only common thing on the other side you'll get

x = 4 and that's your answer

What is 8/9ths of 4?

Answers

8/9 ÷ 4 = 8/36 as simplified as 2/9 in fraction form.

Answer:

8/36

Step-by-step explanation:

I divided  8/9 by 4

Evaluate 6(b - 3) + c; for b = 5 and c = 8

Answers

Answer:

20

Step-by-step explanation:

given:

b=5

c=8

6(b-3)+ c

6(5-3)+8

6(2)+8

12+8

20

other method

6(b-3)+c

6b-18+8

30-18+8

12+8

20

Answer:

20

Step-by-step explanation:

b is 5 and c is 8

so we can substitute them on the given equation

Which of the following is NOT a property of the sampling distribution of the​ variance? Choose the correct answer below. A. The expected value of the sample variance is equal to the population variance. B. The mean of the sample variances is the population variance. C. The sample variances target the value of the population variance. D. The distribution of sample variances tends to be a normal distribution.

Answers

Answer: D. The distribution of sample variances tends to be a normal distribution.

Step-by-step explanation:

The properties of the sampling distribution of the​ variance include:

• The expected value of the sample variance is equal to the population variance.

• The mean of the sample variances is the population variance.

• The sample variances target the value of the population variance.

Therefore, the option that isn't a property of the sampling distribution of the variance will be option D "The distribution of sample variances tends to be a normal distribution".

We should note that the sampling distribution came came in place as a result of the central limit theorem. The sample variance gives a true representation of the variance of the population as it is an unbiased estimator.

The one that does not demonstrate a property of variance's sampling distribution would be:

D). The distribution of sample variances tends to be a normal distribution.

Sampling Distribution Property

The variance's sampling distribution property states that:

The variance or the difference of population is equivalent to the sample variance's estimated value.The mean deduced by the sample variances is similar to the difference/variance of the population.The purpose of sample variance aims toward the value denoted by population variance.

As per the question, the fourth statement does not exemplify one of its properties as the distribution displayed by sample variances is inclined towards normal distribution.

Thus, option D is the correct answer.

Learn more about "Variance" here:

brainly.com/question/9431483

In a survey of 300 students 24 students said that social studies was their favorite subject. What percentage of the students asked, said that social studies was their favorite subject?

Answers

Answer:

Step-by-step explanation:

24/300 = 0.08 = 8%

I need help with that one anyone can help me please

Answers

Answer:

11: 1 tens, 1 ones      17: 1 tens, 7 ones     17 is greater number, it is greater by 6

write a real world problem for the following inequality X < 17 brainly

Answers

Answer:

i want to drive alone but i am 15 and need to be 17

Step-by-step explanation:

PLEASE ANSWER ASAP FOR BRAINLEST DUE VERY SOON!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

348

.................

The figure below consists of a square and a right triangle. Find the missing length x.

Answers

Use Pythagorean theorem.
9^2+x^2=15^2
81+x^2=225
x^2=144
x=12

Solve for x. Round answer to the nearest tenth.
18
43

Answers

Answer:

22.7°

Step-by-step explanation:

22.714° to nearest 10th is 22.7

Find b: a2+b2=c2
a = 6, c = 10

PLZ HELP YALL ILL REWARD BRAINLIEST THINGY

Answers

Answer:

b = 4

Step-by-step explanation:

b=8 because 6^2 is 36 and 10^2 is 100 so 100-36=64 and the square root of 64 is 8

3. Vivian has a balance of $1,075 in a savings account that pays 3.25% interest compounded annually. If Vivian makes no deposits or withdrawals, how much money will be in her saving account after 24 months?​

Answers

Answer:

$1146.01

Step-by-step explanation:

The original amount is 100%. The account earns 3.25% per year, so after 1 year it is worth 100% + 3.25% = 103.25% of the original amount. Since the interest is compounded, after the second year, the account is worth 103.25% of the amount at the end of the first year.

$1,075 * 1.0325 * 1.0325 = $1146.01

What is circle definition

Answers

a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the centre).

Mrs. Hall bought a package of 8 pencils for $4.64. What is the unit price per pencil?

Answers

Answer:

$0.58

Step-by-step explanation:

There are 8 pencils per package. To find the value of each pencil, divide the cost by 8

4.64/8 = $0.58

Answer:

$0.58

Step-by-step explanation:

unit means one, or the rate or price of each pencil. so if the total was 4.64, youd divide 4.64 by 8, which comes out to $0.58 per pencil

Students who attend Washington Middle School are either in seventh or eighth grade.
At the end of the first semester
25% of the students at Washington Middle School were on the honor roll. Seventh graders represented 60% of the
students on the honor roll. If 124 students on the honor roll were in eighth grade, how many students attend
Washington Middle School?

Answers

Answer:

There are 1240 students at Washington middle school.  

Step-by-step explanation:

Percentages and Portions

We can find portions of a whole by correctly managing the percentages of each part. We know 25% of all students at Washington middle school were on the honor roll. From that portion, 60% of the students are seventh graders. That means 40% of the 25% are eight graders, i.e. 40*25%=10% were from eight grade.

We have 10% of all students are 124, thus the number of students are 124/10%=1240

There are 1240 students at Washington middle school.  

Let's test the answer. 25% of 1240 students are on the honor roll, which is 310 students. 40% of 310 students are from 8th grade, 40%*310 = 124 as stated in the problem

214 out of 450 students went to a concert, what percent did not go?

Answers

Answer:

.75% .0075 of the people that went to the concert said they would go if they could not see the band again. To find this you simply divide 9 by 1200, which equals .0075

Step-by-step explanation:

Answer:

% 236 did not go

% Decimal 2.36

Step-by-step explanation:

% 450 - 214

Find the slope of line with the given points (- 6, 2)(3, 7)

Answers

Answer:

m = 5/9

Step-by-step explanation:

rise = 5

run = 9

m = rise/run

m = 5/9

Answer:

m = 5/9

Step-by-step explanation:

Use the slope formula to find the slope m.

[tex]m = \frac{5}{9}[/tex]

How do you simplify 1 17/18

Answers

Answer:

1 17/18= 1 17/18

Step-by-step explanation:

1718 is already in the simplest form. It can be written as 0.944444 in decimal form (rounded to 6 decimal places).

if point Q(3,-4) is rotated +270° about the origin, what are the coordinates of Q?

Answers

Answer:

[tex]Q' =(-4,-3)[/tex]

Step-by-step explanation:

Given

[tex]Q = (3,-4)[/tex]

Rotation = +270 degrees

Required

Determine the new coordinates of Q (i.e. Q')

When a point (x,y) is rotated +270° about the origin, the new coordinates is: (y,−x)

So:

[tex]Q = (3,-4)[/tex]

Where:

[tex]x = 3[/tex] and [tex]y = -4[/tex]

Q' will be:

[tex]Q' =(-4,-3)[/tex]

Plsssss help will mark brainliest

Answers

Answer:

24

Step-by-step explanation: 12 divided by 1/2 is 24

Answer:

24 pls GIVE ME BRAINLIEST not trynna be demanding but iv never had one before

Step-by-step explanation:

Find y' for y = 7x-5 + 2x - 1
y'=

Answers

Answer:

9

Step-by-step explanation:

7x-5+2x-1=9x-6

d/dx (9x-6)=9

Rex's house is located at point (2,-5) on a coordinate plane. The location of Terrell's house is the reflection of the location of Rex's house across the X-axis.In what quadrant is Terrell's house?

Answers

Answer:

When you reflect a point of the x-axis you can apply:

(x,y) -> (x,-y)

Using this:

(2,-5) -> (2,5)

Since both the x and y places are positive, it is in quadrant 1.

Hope this helps!

Step-by-step explanation:

down the additive inverse of 4 by 7​

Answers

Answer:

[tex] \color{magenta} \huge{ \boxed{answer}}[/tex]

The additive inverse of 4/7 is -4/7.

hopefully help:)

Step-by-step explanation:

#CarryOnLearning


What is the distance, in units, between point A(5. - 8) and point B(-2, 4) on the coordinate plane?
PLSSS ANSWER ASAP

Answers

Answer:

13.892444

Step-by-step explanation:

The height difference: 12

The length difference: 7

12^2+7^2=c^2

193=c^2

13.892444=c

Answer:

[tex]\sqrt{193}[/tex]

step explanation:

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