What are the solutions of the equation 9x4 minus 2x2 7 0?

Answers

Answer 1

The solution of the equations are x = √1 = ± 1

Now, According to the question:

The given equation is [tex]9x^4 - 2x^2 - 7 = 0[/tex]

Using the substitution rule we put [tex]x^{2}[/tex] = u .

The given equation now changes to

[tex]9u^2 - 2u - 7 = 0[/tex]--- (1)

Equation(1) is a simple quadratic equation which can be solved by factorization as follows:

[tex]9u^2 - 2u - 7 = 0[/tex]

(9u + 7)(u - 1) = 0

Therefore

9u + 7 = 0 → u = -7/9

u -1 = 0→ u = 1

Since u = [tex]x^{2}[/tex] implies

x = √-7/9 = ± i√7/9

x = √1 = ± 1

Learn more about Equation at:

https://brainly.com/question/29657983

#SPJ4

The complete question is this:

What are the solutions of the equation [tex]9x^4 - 2x^2 - 7 = 0[/tex]? use u-substitution to solve.


Related Questions

Jump to level 1

Housing prices in a small town are normally distributed with a mean of

$142,000 and a standard deviation of $7. 0. Use the empirical rule to

complete the following statement.

Approximately 95% of housing prices are between a low price of

$ Ex: 5000 and a high price of $

Modul Three Assignment Gui.

4. 2. Normal distribution - Goog.

Answers

By standard deviation, 68% housing price are between a low price of $135000 and a high price of $149000.

What is standard deviation in math?

The variability in your dataset is measured by its standard deviation. It reveals the average deviation between each result and the mean.

                           A low standard deviation denotes that values are grouped close to the mean, whereas a large standard deviation shows that values are often far from the mean.

Given,

         mean (μ) = 142000

  standard deviation (σ ) = 7000

 By using empirial rule,

                    P( μ - σ ≤ X ≤ μ + σ ) ≈ 68%

   Then,

             P(142000 - 7000 ≤ x ≤ 142000 + 7000 ) ≅ 68%

    P( 135000 ≤ x ≤ 149000 ) ≅ 68%

   

68% housing price are between a low price of $135000 and a high price of $149000.

Learn more about standard deviation

brainly.com/question/23907081

#SPJ4

find the area of the shape shown below 911 please help ASAP ​

Answers

Answer:

Hello! answer: 32

Hppe this helps!

Which of the following would NOT cast doubt of the usefulness of sample? data? Choose the correct answer below.
a. Order of questions in a survey
b. Missing data
c. Nonresponse
d. An effective sampling method

Answers

An effective sampling method is not cast doubt on the usefulness of the sample

The effective sample is a calculation of the approximate sample size needed to obtain the same degree of accuracy as a simple random sample. It is denoted mathematically by the formula n/D, where n represents the sample size and D denotes the design effect. It is employed as a means of condensing the volume of data.

Effective sample size calculations are mostly used for qualitative analyses of the sample size. The sample size calculates the total number of measurements or observations made during an experiment or survey. The effective sample size—rather than the actual sample size—is utilized in this assessment since it is thought that a sample size of 30 is necessary for an analysis to be valid.

To know more samples at:

https://brainly.com/question/27829028

#SPJ4

help help help plz i suck at this

Answers

A 48 pi in 2 It’s pretty easy just find the formula for it and plug the numbers in on a calculator.

Answer:

it is option A

Step-by-step explanation:

using formula

270 degree/360 degree*pie*(r)^2

Are infinite languages undecidable?

Answers

Therefore ,A language being infinitive is consequently required but not sufficient for undecidability, according to the solution to the provided problem of infinite.

Define infinitive.

The ideas of zero and infinity are related, although evidently, zero is not the same as infinity. Instead, if N/Z set  exists, and N is any positive number, the quotient grows indefinitely as Z approaches 0. Therefore, it is obvious that N / 0 is limit- less.

Here,

Regular languages are all finite languages. Some of the infinite languages are common. Only infinite languages have an undecidability limit.

There must be specific language strings that cause the TM to fail for the language to be undecidable. In fact, such strings must exist indefinitely (otherwise, the poorly behaved ones could be handled by special-case logic).

Thus, undecidability requires an is infinite language but does not prove it.

Therefore ,A language being infinitive is consequently required but not sufficient for undecidability, according to the solution to the provided problem of infinite.

To know more about infinitive, visit

https://brainly.com/question/29794009

#SPJ4

the cube root parent function is reflected and stretched by four. it is translated six to the right and five down. write an equation that represents this new function

Answers

The equation for new function is,

⇒ f (x) = ∛( 1/4x - 6) - 5

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The parent function is,

⇒ g (x) = ∛x

Now, After  reflected and stretched by 4, we get;

⇒ g (x) = f (1/4x) = ∛ 1/4x

And, After translated 6 units to the right, we get;

⇒ g (x) = f (x - 6) = ∛ 1/4x - 6

And, After 5 unit down, we get;

⇒ g (x) = h (x) - 5 = ∛( 1/4x - 6) - 5

Learn more about the function visit:

https://brainly.com/question/28793267

#SPJ2

The perimeter of a rectangular garden is 36 1/2 feet. One side of the garden is 9 feet long. What is the area, in square feet, of the garden?

Group of answer choices

81 1/4

83 1/4

85 1/2

85 9/16

Answers

Answer:

83 1/4 sq ft

Step-by-step explanation:

let x = length or width of two identical unknown sides

2(9) + 2x = 36 1/2

18 + 2x = 36 1/2

2x = 18 1/2

x = 37/2 ÷ 2 = 37/4 or 9 1/4

therefore, multiply 9 by 9 1/4

Area is:  9/1 x 37/4 = 333/4 = 83 1/4

Find FL - will mark brainliest

Answers

Answer:

7

Step-by-step explanation:

Answer:

FL = 8.4

Step-by-step explanation:

To solve this question you need to use proportions.

6/10 = x/14

Cross multiply:

6*14 = 84

84/10 = 8.4

What's the longest UK number 1?

Answers

The person who has the most number 1 in UK is Elvis Presley. He has a total of 21 number 1 which is the highest in history.

The UK Singles Chart is a chart which numbers musician on the basis of their songs and their sales and streams it  was created in 1969. The records and statistics listed here, however, date back to 1952 .

The song which charted the charts was Old Town Road which was recently remixed and launched by Lil Nas X.

Elvis Aaron Presley or more commonly known as Elvis, was an American singer and actor. He dubbed the "King of Rock and Roll", and is now regarded as one of the most significant cultural figures of the 20th century.

To learn more about Elvis Presley

brainly.com/question/29995722

#SPJ4

how do i anser this question

Answers

The graph that is not a straight line does not represent a direct variation.

What is direct variation?

Direct variation of a quantity {y} with respect quantity {x} means that the value of {y} increases as the the value of {x} increases. Mathematically -

y = Kx

K = y/x

where -

{K} is scale factor.

Given are the graphs representing direct variation.

Direct variation is represented by the equation -

y = kx

The graphs representing the direct variation are straight lines. Since all the graphs are not given, any graph that is not a straight line does not represent a direct variation.

Therefore, the graph that is not a straight line does not represent a direct variation.

To solve more questions on direct variation, visit the link below -

brainly.com/question/14254277

#SPJ1

10
Which of the following translations corresponds to the matrix
[ 33 3]
2
-3

Answers

Answer:

Please dont delete

Explanation:

Hello. I am sorry that I can not answer your question but I am doing this so I can get answers of my own. I appreciate your understanding and I hope you get your answer soon. Good luck!

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Answers

Answer:

[tex]6+ \sqrt{29},6-\sqrt{29}[/tex]

Step-by-step explanation:

The given quadratic equation is [tex]x^2-12x+7=0[/tex]

The general form of quadratic equation is given by :

[tex]ax^2+bx+c=0[/tex]

Comparing both the equations,

a = 1, b = -12 and c = 1

The solution of a quadratic equation is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Put all the values,

[tex]a=\dfrac{-(-12)\pm \sqrt{(-12)^2-4\times 1\times 7} }{2(1)}\\\\=\dfrac{12\pm \sqrt{116}}{2}\\\\=\dfrac{12\pm 2\sqrt{29}}{2}\\\\=6\pm \sqrt{29}[/tex]

So, the solutions of the given equation is [tex]6+ \sqrt{29},6-\sqrt{29}[/tex]. Hence, the correct option is (d).  

At a certain zoo, the average mass of one cow is measured to be 410410 kilograms. Use scientific notation to express the mass of 6060 cows

Answers

The scientific notation to express the mass of 60 cows is 2.46 × 10⁴ kg. It is determined after multiplying the mass of one cow by the number of cows.

What is scientific notation?

Scientific notation is a way of expressing very small or very large numbers in a simpler form.

In scientific notation, the number is written as

a.b × 10ⁿ

Where

1 ≤ a < 10n is an integer

If the mass of one cow is 410 kg, find the mass of 60 cows in scientific notation!

The mass of 60 cows would be

= number of cows × mass of one cow

= 60 × 410 kg

= 24,600 kg

In scientific notation, it is

24,600 kg = 2.46 × 10,000

24,600 kg = 2.46 × 10⁴ kg

Hence, the mass of 60 cows in scientific notation is 2.46 × 10⁴ kg.

Learn more about scientific notation here:

brainly.com/question/18073768

#SPJ4

HIHI PLS help ;( having trouble </3

it says "The graph of the inequality y>-1/2x-2 should have the test point 0,0 shaded. true or false"

THANK YOU ヽ(=^・ω・^=)丿​

Answers

Answer:

True

Step-by-step explanation:

Substitute in x = 0 and y = 0.  If the statement is true, then (0, 0) is shaded.

y > -1/2x - 2

0 > -1/2(0) - 2 = -2

0 > -2 is true, so (0, 0) is shaded

If B=3x-1 and C=2x^2+x+9, find an expression that equals 2B+2C in standard form.

Answers

Answer:

[tex]4x^2 +8x + 16[/tex]

Step-by-step explanation:

2 (3x - 1) + 2 (2x^2 + x + 9)

6x - 2 + 4x^2 +2x + 18

4x^2 + 8x +16

The value of the equation is A = 2B + 2C = 4x² + 8x + 16

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of B is

B = 3x - 1   be equation (1)

And , the value of C is

C = 2x² + x + 9   be equation (2)

The value of 2B = 2 ( 3x - 1 )

2B = 6x - 2   be equation (3)

The value of 2C = 2 ( 2x² + x + 9 )

2C = 4x² + 2x + 18

Now , the equation will be

A = 2B + 2C

A = 6x - 2 + 4x² + 2x + 18

On simplifying the equation , we get

A = 4x² + 8x + 16

Therefore , the value of A is 4x² + 8x + 16

Hence , the equation is A = 4x² + 8x + 16

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

I don't know what to do, help​

Answers

The correct answer is: 2x+3y=24

please help: find TZ​

Answers

it would be 20. you set the equations equal to one another and then you would plug in what you got for X.

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

Answers

Answer:

=98m^2

Step-by-step explanation:

11×4=44

9×6=54

44+54=98

=98m^2

PRETTY PLZZZZZZZZZZZZZZZZZZZZZZZZZZ

Answers

Answer:

The third one in.

Step-by-step explanation:

its going to end up being 54 ≤ x

and since 54 is included, you want a filled in circle to show that.

Answer:

C. less than or equal too if it's a closed circle

hope this helps

have a good day :)

Step-by-step explanation:

What is the slope of a line that is perpendicular to the line y = 1/5x + 2?

Answers

Step-by-step explanation:

It is in the form y=mx+c

so m1 = 1/5

Now the slope of the line perpendicular to the line Having slope m1 = 1/5 (m2)=?

when it is perpendicular, slope is given by

m1 x m2 = -1

1/5 x m2 = -1

m2 = -5

PLEASE HURRY 100 POINTZ PLUS BRAINLIEST



Select the true statement that describes a right triangular prism.

A right triangular prism contains curved surfaces.
A right triangular prism contains rectangular faces.
A right triangular prism contains rectangular bases.
A right triangular prism contains one apex.

Answers

Answer:

A right triangular prism contains rectangular faces.

Step-by-step explanation:

Answer:

(C) A right triangular prism contains rectangular faces.

Step-by-step explanation:

hope this helps <3

If the radius of a circle is x cm, what is the measure of its circumference? write.​

Answers

Answer:

2 pie over r

Step-by-step explanation:

Step-by-step explanation:

the circumference is given by:

[tex]2\pi(radius)[/tex]

in this case x is the radius hence the circumference would be:

[tex]2\pi(x)[/tex]

hope this helps :)

Aladder is 15 feet long. If a window is 10 feet from the ground, how far out from
the house will the ladder be if it is placed at the bottom of the window? *

No links
Thank you!

Answers

Answer:

2.5 feet

Step-by-step explanation:

10 feet is the length to the window this leaves us with 5 feet remaining half this to get a stable incline to the window (meaning we dont fall)

please help me!!!!!!!!

Answers

Answer:

3/4

Step-by-step explanation:

^what he said..............

Solving inequalities
3/5 * p ≤ 6

Answers

Answer:

p ≤ 10

Step-by-step explanation:

3/5 * p ≤ 6

Multiply each side by 5/3

5/3 *3/5 * p ≤ 6* 5/3

p ≤ 10

Answer:

p< 10

Step-by-step explanation:

See the image below:)

What is the interquartile range?

Answers

Answer:

40

Step-by-step explanation:

subtract q3 - q1

Find the measure of the missing angles.

Answers

Answer:

a = 33 degrees

Step-by-step explanation:

Note that 57 degrees and Angle a are complementary:  they add up to 90 degrees.

Thus, a = 90 degrees less 57 degrees = 33 degrees

I DONT WANT TO GO TO SUMMER SHCOOL
PLEASE IF YOU HAVE ANY KNOWLEDGE OF THIS TEACH ME BC MY TEACHER DIDN'T TEACH ME ANYTHING​

Answers

Answer:

Yes, both are radii.

Step-by-step explanation:

Assume S lies in the center of the circle. If so, when drawing a line from S to Y, it can be counted as half a diameter, or a radii. Same goes for line ST.

the person above me is correct i just took that test

Write an equation of the line that passes through (3,-4) and is perpendicular to y=1/2x+7.

Answers

The slope of the line perpendicular to the above will be the inverse and opposite sign of the above slope. So, slope (m) = 2
y = 2x + b
-4,7

Substitute:
7 = (2)(-4) + b
7 = -8 + b
b = 15
y = 2x + 15 I can do all ur work for u (813) 819-5978

Whiw do you graph y=3x-2

Answers

That's the graph for y=3x-2
Other Questions
I am giving away 10 points to anybody who provides correct answers with explanations. How did artstyles change during each era of Chinesehistory? What are the 3 types of trigonometry? Finish the phrase... You are ruining my chances of getting a puppy! Question 2An example of something that operates at the application layer is: the rate of production needed to meet customer demand yet avoid overproduction is known as The Air Force is slated to purchase 113 HH-60W aircraft from Lockheed Martin to replace its fleet of HH-60G Pave Hawk helicopters, which perform missions locating and rescuing downed pilots in hostile territory. Here, the Air Force is considered a(n) Need it ASAP, please!!! Mhanifa please help! This is due soon History help with eras A scale drawing of a square has a side length of 8 inches. The drawing has a scale of 1 in. : 6 mi. Find the actual perimeter and area of the square.Perimeter $=$ miArea $=$ mi $^2$ A rich man had many servants......... purse with lot of money was stolen from rich man's drawer......... rich man files a complaint in the police station ......... all the servants were called ......... stick of same length given to each ......... servants were told that stick of the thief will grow by one inch overnight ......... the thief cuts his stick by one inch ....... he is easily caught the next day. ......... Pythagorean Theorem & irrational Numbers QuestionWhich of the following could not be the lengths of sides of aright triangle?Select one:8, 10, 126, 8, 109, 12, 158, 15, 17 Bismah is building 5 raised garden beds in a community garden. Each raisedgarden bed will need 1 7/8 bags of soil. How many bags of soil will Bismah need for8all 5 raised garden beds?5 5/8bags of soil9 3/8 bags of soil9 5/8 bags of soil8 7/8 bags of soil5 3/8 bags of soil who ever gets this will get a brainlest and a good rating,It is not the 3rd one URGENT I NEED IT RN (or withen 20 min)The sparrow a small bird flew around the bend and out of site.Which sentence is edited correctly? aThe sparrow, a small bird, flew around the bend and out of sight. bThe sparrow, a small bird flew around the bend, and out of site. cThe sparrow a small bird flew around the Bend, and out of sight. dThe sparrow, a small bird, had flown around the bend and out of site. ( 1/2 ) ^2HELP!ME! How do I solve these problems? If the Earth did not spin what would happen?Select one:a. The Earth's wind would bend due to gravity.Ob. The Earth would only have two large convection currents.Oc. The Earth would have the same temperature throughout.Od. The Earth would have several difference convection currents at different latitudes. 1. The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,290 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 153 of their customers and calculates that these customers used an average of 10,586kWh of electricity last year. Assuming that the population standard deviation is 2509kWh, is there sufficient evidence to support the power company's claim at the 0.05 level of significance? State the null and alternative hypotheses for the test.2. The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,290 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 153 of their customers and calculates that these customers used an average of 10,446 kWh of electricity last year, Assuming that the population standard deviation is 2509 kWh, is there sufficient evidence to support the power company's claim at the 0.02 level of significance? Compute the value of the test statistic.A. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average. B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average. C. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average.D. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average.