Which system of equations can be used to find the roots of the equation 12x3-5x=2x2+x+6

4 answers
Question:

Which system of equations can be used to find the roots of the equation 12x3-5x=2x2+x+6

[tex]Which system of equations can be used to find the roots of the equation 12x3-5x=2x2+x+6[/tex]


Answers

A [tex]\left\{\begin{array}{l}y=12x^3-5x\\ \\y=2x^2+x+6\end{array}\right.[/tex]

Step-by-step explanation:

The equation [tex]12x^3-5x=2x^2+x+6[/tex] have in both sides expressions [tex]12x^3-5x[/tex] and [tex]2x^2+x+6.[/tex]

Therefore, the system of two equations

[tex]\left\{\begin{array}{l}y=12x^3-5x\\ \\y=2x^2+x+6\end{array}\right.[/tex]

has the solution (x,y), where x is the solution of the equation above.

ANSWER

[tex]y = 12 {x}^{3} - 5x[/tex]

{

[tex]y= 2 {x}^{2} + x + 6[/tex]

EXPLANATION

The given equation is

[tex]12 {x}^{3} - 5x = 2 {x}^{2} + x + 6[/tex]

To find the system of equations, we just have to equate each side of the equation to y and form two different equations.

The left sides gives one equation,

[tex]y = 12 {x}^{3} - 5x[/tex]

The right side also gives,

[tex]y= 2 {x}^{2} + x + 6[/tex]

Hence the correct choice is A

[tex]y=12x^{3}-5x[/tex] -----> equation A

[tex]y=2x^{2} +x+6[/tex] ------> equation B

we have

[tex]12x^{3}-5x=2x^{2} +x+6[/tex]

This equation can be rewritten in the following system of equations

[tex]y=12x^{3}-5x[/tex] -----> equation A

[tex]y=2x^{2} +x+6[/tex] ------> equation B

we know that

The solution of the system of equations is the intersection point both graphs

using a graphing tool

see the attached figure

The solution is

[tex]x=1.07[/tex]




[tex]Which system of equations can be used to find the roots of the equation 12x3-5x=2x2+x+6[/tex]

Same=same figure out what the x is both x are the same number on both side is the same answer hope that helps

Similar Solved Works

3 answers

A function will have at most, one y-intercept.O TrueO FalsePlease answer ASAP thanks

A function will have at most, one y-intercept. O True O False Please answer ASAP thanks...
7 answers

Farming that is not for profit and satisfies the requirements of the farmer’s livelihood is called

Farming that is not for profit and satisfies the requirements of the farmer’s livelihood is called . a. tenant farming b. sharecropping c. commercial farming d. subsistence farming...
4 answers

Which of the following is a function of theExcretory System?A. Breaks down food into energyB. Circulates nutrients through the bodyC. eliminate

Which of the following is a function of the Excretory System? A. Breaks down food into energy B. Circulates nutrients through the body C. eliminate cellular wastes or unnecessary materials from the body D. Helps the body move and gives support...
4 answers

The points A, B, C and D lie in order on a straight line. AB : BD = 3:4 AC: CD = 3:2 Work out AB : BC: CDGive your answer in its simplest

The points A, B, C and D lie in order on a straight line. AB : BD = 3:4 AC: CD = 3:2 Work out AB : BC: CD Give your answer in its simplest form.​...
6 answers

Rita tutors history. For each hour that she tutors, she earns 40 dollars. her earning, E (in dollars), after tutoring for h hours is given

Rita tutors history. For each hour that she tutors, she earns 40 dollars. her earning, E (in dollars), after tutoring for h hours is given by the following function. E (h) =40hHow much does Rita earn if she tutors for 2 hours?? dollars ​...
4 answers

Shaundra made this graph in order to show the results of a science experiment. She records the changes in height of the plant, in inches,

Shaundra made this graph in order to show the results of a science experiment. She records the changes in height of the plant, in inches, according to amount of fertilizer, in pounds, added to the soil. [tex]Shaundra made this graph in order to show the results of a science experiment. She ...
3 answers

How many moles of calcium chloride are there when you have 55.5 grams of calcium chloride(CaCl2)

How many moles of calcium chloride are there when you have 55.5 grams of calcium chloride(CaCl2)...
5 answers

•What do you think private school fees are used for?

•What do you think private school fees are used for?...
4 answers

4. Which of the following correctly represents the relationship between the input andthe outcome variable?a. There is no relationship

4. Which of the following correctly represents the relationship between the input and the outcome variable? a. There is no relationship between the variables b. The higher the force the lower the pizza temperature C. The lower the force the lower the volume d. The higher the force the higher the p...
4 answers

3. In Paragraphs 6 and 7, what are some of the barriers to reaching the traditional American Dream?

3. In Paragraphs 6 and 7, what are some of the barriers to reaching the traditional American Dream?...
3 answers

How does the executive fits into the checks and balance system of government?

How does the executive fits into the checks and balance system of government?...
8 answers

Payton collected data to show the relationship between the number of hours he practices and the number

Payton collected data to show the relationship between the number of hours he practices and the number of errors he makes when playing a new piece of music...
7 answers

Help pls i will give branliest

Help pls i will give branliest [tex]Help plsssss i will give branliest[/tex]...
4 answers

What's 76×32÷5+(19×92)-15×2? need asap​

What's 76×32÷5+(19×92)-15×2? need asap​...
5 answers

Problem set 2 2.2.1. section 2.1. (1) let l be the operator defined by l() = (á - a) a. show that l is linear. b. show

Problem set 2 2.2.1. section 2.1. (1) let l be the operator defined by l() = (á - a) a. show that l is linear. b. show that the kernel of l is a vector space. c. let g(t) be a non-trivial function. show that the collection of vector-valued functions which satisfy = g(t) do not form a vector space....
6 answers

Which statement is true about whether z and b are independent events? z and b are independent events

Which statement is true about whether z and b are independent events? z and b are independent events because p(z∣b) = p(z). z and b are independent events because p(z∣b) = p(b). z and b are not independent events because p(z∣b) ≠ p(z). z and b are not independent events because p(z∣b) ≠...
3 answers

What message, or theme, is melville developing in this passage from moby-*ick? sacrifice in the line of duty is noble. vengeance

What message, or theme, is melville developing in this passage from moby-*ick? sacrifice in the line of duty is noble. vengeance can become obsessive. commitment to a cause is admirable. heartache is an unavoidable part of life....
9 answers

In the outsders, Cherry says she can't associate with Ponyboy at school, and he replies, 'It'sokay,' is it really ok with him?

In the outsders, Cherry says she can't associate with Ponyboy at school, and he replies, "It's okay," is it really ok with him?...
4 answers

Please help ASAP, No links or report, Tysm!Giving out brainliestFind the perimeter of the figure.

Please help ASAP, No links or report, Tysm! Giving out brainliest Find the perimeter of the figure. [tex]Please help ASAP, No links or report, Tysm! Giving out brainliest Find the perimeter of the figur[/tex]...
7 answers

GIVING BRANLIEST ASAP Jeremiah invested $930 in an account paying an interest rate of 6 % compoundedquarterly. Bella invested $930 in

GIVING BRANLIEST ASAP Jeremiah invested $930 in an account paying an interest rate of 6 % compounded quarterly. Bella invested $930 in an account paying an interest rate of 5 % compounded continuously. After 5 years, how much more money would Jeremiah have in his account than Bella, to the nearest ...

-- 0.053730--