Solve for x if 1/2x-3 + 5x/2x+6 =2​

Answers

Answer 1

Answer:

by which method do you need

Answer 2
The value of x is "[tex]\bold{(2, \frac{21}{2})}[/tex]".

Given:

[tex]\to \frac{1}{2x-3} + \frac{5x}{2x+6} =2[/tex]

To find:

x=?

Solution:

[tex]\to \frac{1}{2x-3} + \frac{5x}{2x+6} =2 \\\\[/tex]

Taking lcm:

[tex]\to \frac{2x+6 +5x(2x-3)}{(2x-3)(2x+6)} =2\\\\\to \frac{2x+6 +10x^2- 15x}{(4x^2+ 12x-6x-18)} =2\\\\\to \frac{10x^2- 13x+6}{4x^2+ 6x-18} =2\\\\[/tex]

[tex]\to 10x^2- 13x+6 = 2(4x^2+ 6x-18)\\\\\to 10x^2- 13x+6 = 8x^2+ 12x-36\\\\\to 10x^2- 13x+6 - 8x^2- 12x +36=0\\\\\to 2x^2-25x+42=0\\\\[/tex]

compare the value with the [tex]ax^2+bx+c=0[/tex]:

[tex]\to a=2\\\\\to b= -25\\\\\to c=42\\\\[/tex]

Using formula:

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

       [tex]\bold{=\frac{- (-25) \pm \sqrt{(-25)^2-4\times 2 \times 42}}{2 \times 2}}\\\\ \bold{=\frac{25 \pm \sqrt{ 625 - 336}}{4}}\\\\ \bold{=\frac{25 \pm \sqrt{289}}{4}}\\\\ \bold{=\frac{25 \pm 17 }{4}}\\\\ \bold{=(\frac{8}{4} , \frac{42}{4})}\\\\ \bold{=( 2 , \frac{21}{2})}\\\\[/tex]

Therefore, the final answer is "[tex]\bold{(2, \frac{21}{2})}[/tex]".

Learn more about the value x:

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Related Questions

What is the empirical formula for a compound that is comprised of 54.0% sodium, 8.50% boron, and 37.5% oxygen by mass

Answers

Answer:  

Sodium metaborate: sodium+boron+oxygen= NaBO 2.

The formula can be written also as Na 2O·B

Explanation:

Name of equipments that uses in crude oil distillation?​

Answers

Explanation:

Crude oil distillation is a complex and capital-intensive process in petroleum refining. The crude oil distillation unit comprises distillation columns, pump-around loops, side strip.pers and a heat recovery system, known as the preheat train.

The Universal Space Agency wants to know the results of your Sim investigation. Write your report to the lead chemist, explaining why drops of liquid water appeared on the outside of the cold, but not the warm, soda can. Use evidence from your investigation in your explanation.

Answers

Answer:

due to warm temperature

Explanation:

Explanation:

There is water present in liquid form instead of liquid nitrogen on the outer side of the can because of the temperature present in the surrounding environment. The temperature around the can is little warm which is favourable for the water but not for the liquid nitrogen. The liquid nitrogen present in liquid state when the temperature of the surrounding is too cold. if it is warm, the liquid nitrogen starts boiling and converts into gaseous state so that's why the warmer temperature is responsible for the presence of water not the liquid nitrogen.

How many moles is 7.78 x 1024
formula units of MgCl2?

Answers

How many moles is 7.78 x 1024

formula units of MgCl2?

answer: 7966.72

Mole measure the number of elementary entities of a given substance that are present in a given sample. Therefore, there are 0.49moles of  MgCl[tex]_2[/tex] in  7.78 x 10²⁴atoms of MgCl[tex]_2[/tex] .

What is mole?

The SI unit of amount of substance in chemistry is mole. The mole is used to measure the quantity of amount of substance. It measure the number of elementary entities of a given substance that are present in a given sample. There are so many formula for calculating mole.

we know one mole of any element contains 6.022×10²³ atoms which is also called Avogadro number

mole =given number of atoms ÷ 6.022×10²³(Avogadro number)

given number of atoms of MgCl[tex]_2[/tex]= 7.78 x 10²⁴

Substituting the values

mole= 7.78 x 10²⁴÷ 6.022×10²³

mole = 0.49moles of  MgCl[tex]_2[/tex]

So, there are 0.49moles of MgCl[tex]_2[/tex] in  7.78 x 10²⁴atoms of MgCl[tex]_2[/tex] .

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How many atoms are in 25.0 grams of carbon?

Answers

mol = 25/12

= 2.083 mol

1 mol = 6.02 × 10^23 atoms

2.083 mol = X

X = 2.083/1 × 6.02 × 10^23

= 1.254 × 10^24 atoms

NO LINKS!!!! 50 PTS!!!
What is a title name for Aerobic cellular respiration?

Answers

Answer:

try this

Explanation:

I searched it but I don't know

I want a pharmacist technician to help me with a question please

Answers

I'm a pharmacy dispenser which is the same thing. what's your question?

What is epoxy?
....................

Answers

A clear chemical compound.

Answer:

1. any class of adhesives, plastics, or other materials that are polymers of epoxies.

2. something like glue or resin

Explanation:

that's the dictionary definition of epoxy.

How are all atoms of silver alike, but different from atoms of other elements?
A. All atoms of silver have the same mass.
B. All atoms of silver have the same atomic number,
C. All atoms of silver have the same number of neutrons.
D. All atoms of silver have the same number of subatomic particles.

Answers

B. All atoms of silver have the same atomic number but different numbers of neutrons in the nucleus.

a sample of glucose contains 1.250x10^21 carbon atoms, how many atoms of hydrogen does it contain?

Answers

Answer:

Hydrogen = 2.5 * 10^21

Explanation:

Chemical Formula Glucose: C₆H₁₂O₆

One of the ways you could do  this is to notice that for every carbon atom there are two Hydrogen atoms. You can state this more formally by using the formula to set up a ratio: 12/6 = hydrogen to Carbon

So if there are 1.250 * 10^21 Carbon atoms in the Glucose sample, then there will be twice as many hydrogen atoms.

H = 2 * 1.25 * 10^21 = 2.5 * 10^21 atoms

You could do this more formally by setting up a proportion.

6 Carbon / 12 Hydrogen = 1.25*10^21 /  x         Cross Multiply

6*x = 12 * 1.25*10^21                                           Combine the right

6x = 1.5 * 10^22                                                  Divide by 6

x = 2.5 * 10^21

1. Before starting, make a prediction: If substances B and C are both in the gas phase and are at the same energy level, which of the two substances will need to have more energy transferred out in order to change to the liquid phase? Substance B or substance C? Explain your answer.

Answers

Answer:

Substance C

Explanation:

Substance C would be the answer because Substance C has a lower attraction level. Because of this, it takes more energy to take out of in order to become a liquid.

1.
How many moles of NaCl are in 1.5L of 0.25 M solution?

Answers

Answer:

0.375 moles

Explanation:

no of moles =vol×molarity

is H2O polar or non polar?

Answers

Answer:

Explanation:

H2O is a polar molecule

Answer:

polar covalent molecule

Explanation:

the unequal sharing of electrons between the atoms and the unsymmetrical shape of the molecule means that water has two pole a positive and a negative.

LAST ATTEMPT! Covalent compound naming !

Answers

Answer:sad

Explanation:

haaaaan   not

What would happen if hydrogen chloride gas is bubbled through a solution of lead (II) nitrate? Explain​

Answers

A white precipitate of silver chloride will be formed when Hydrogen chloride gas is passed through silver nitrate.

A white precipitate of silver chloride will be formed when Hydrogen chloride gas is passed through silver nitrate.2HCl+2AgNO³

→2AgCl+2HNO³

The reaction between AgCl and NH4OH will result in the products of Ag(NH3) 2+and Cl - ions .

AgCl+2NH 4OH→Ag(NH3) ²Cl+HO

[H+]=1×10−13 M pH=

what is this answeer

Answers

Answer:

Take the -logarithm of the concentration of hydrogen ions that are in the solution:

pH=−log(1×10−8M)=8.❤

Please help me with this question please just help me with what is this is or synthesis singlereplacement
combustion
decomposition
double replacement

Answers

Answer:

1) Combustion

2)Synthesis

3)Single Replacement

4)Decomposition

5)Double Replacement

6)Synthesis

7)Double Replacement

8)Single Replacement

9)Combustion

10)Decomposition

Explanation:

Remeber, decomposisition is breaking things apart, synthesis is building them, cobusion will always make water and CO2 and will always burn O2, single replacemnt will have 1 thing replaced (single) and double replacement will have 2 things replaced (double).

Hope this helps!

What is the empirical formula for C2H4S2?

Answers

Answer:

46

Explanation: ihjk

The ___ variable responds to the __ variable and goes on the Y-axis.
1. Dependent, Independent
2. Independent, Dependent
3. Control, Constant
4. Constant, Control

Answers

Answer: 1. Dependent, Independent The dependent variable responds to the independent variable and goes on the Y-axis.

Explanation: The independent variable is controlled or manipulated by the experimenter. For example, someone's age might be an independent variable. Other factors (such as what they eat, how much they go to school, how much television they watch) aren't going to change a person's age.The dependent variable is what you are measuring. For example, a test score could be a dependent variable because it could change depending on several factors such as how much you studied, how much sleep you got the night before you took the test, or even how hungry you were when you took it.

How that helps. :)

The dependent variable responds to the independent variable and goes on the Y-axis. Therefore, option A is correct.

What is dependent variable ?

In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables. Dependent variables are so-called because, during an experiment, their values are examined on the assumption or presumption that they are governed by the values of other variables.

the dependent variable on other measurable variables As a result of an experimental manipulation of the independent variable or variables, these variables should change.

What you track in the experiment and what is impacted by it are both considered dependent variables. The independent variable affects the dependent variable's behavior. Because it "depends" on the independent variable, it is known as a dependent variable.

Thus, option A is correct.

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A compound contains 25.94%N and 74.06% O by mass whats the empirical formula

Answers

Answer:

the answer is NO or nitric oxide.

hope this helps, love. have a good day

Explanation:

Empirical formula is the simplest whole number ration of elements in a compound. Molecular formula is n times the empirical formula, where n is integers 1,2,... Therefore, the empirical formula is NO[tex]_2[/tex].

What is Empirical formula?

Empirical formula gives the proportion of the element that is present in a compound. It does not give information about the actual number or the arrangements of the atoms.

The relation between molecular formula and empirical formula can be given as

n= molecular formula÷ empirical formula

Number of gram atoms in compound and divide by smallest Number of gram atoms in compound

N=(25.94%)÷14=1.85/1.85=1

O=( 74.06% )÷16=4.62/1.85=2

The atomic ratio is 1:2

Whole number N:O is1:2

Empirical formula corresponding to this whole number is NO[tex]_2[/tex].

Therefore, the empirical formula is NO[tex]_2[/tex].

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(QUICK)
What is the percent yield if the actual yield is 1.5g and the theoretical yield is 4.5g?

Answers

Answer:

33.3% (depending on how many significant figures you need)

Explanation:

Actual yield divided by theoretical yield times 100%

I NEED HELP ASAP !!!!

Answers

Answer:

5)A &D 6)B

Explanation:

Mass of Fe is 55.845 u

Mass of Cl is 35.453 u

And their sum is 91.298 u

help pls very simple

Answers

What equipment is generally used to make lyophilized medications suitable for administering to the patient

Is the formation of sulfur tetrafluoride monoxide endothermic or exothermic?

Answers

endothermic means it absorbs energy while exothermic means it releases energy. remember this.

Describe the factors that can be used to predict whether or not a nuclide is stable.​

Answers

The principal factor for determining whether a nucleus is stable is the neutron to proton ratio. Elements with Z < 20 are lighter and these elements' nuclei and have a ratio of 1:1 and prefer to have the same amount of protons and neutrons.
The principal factor for determining whether a nucleus is stable is the neutron to proton ratio. Elements with (Z<20) are lighter and these elements' nuclei and have a ratio of 1:1 and prefer to have the same amount of protons and neutrons.


Facts about neutron:

James Chadwick discovered the neutron in 1932. He discovered it using this curious device which he made from pieces found in the laboratory.


Neutrons are very small indeed.



There are stars made of neutrons.


Neutrons are slightly heavier than protons.

Neutrons are made of three quarks.


What charge is a neutron?: Neutrons have no charge. Since opposite charges attract, protons and electrons attract each

what is involved fashion of male and female gametes to form a zygote which develops into an embryo ​

Answers

This process is known as fertilisation. Gametes contain half the number of chromosomes of all other cells in the organism. This means they are haploid . When the male and female gametes combine in fertilisation they create an embryo with the full complement of chromosomes (diploid).

supose 10 atoms of carbon (c) recat with 20 atoms of oxegen (o) to from 10 molecules of carbon dioxide (co2). According to the law of conservation of matter, how many atoms are presented in this reaction?

Answers

Answer:

30

Explanation:

CO2 means that there is 1 carbon and 2 oxygens  in each CO2 molecule.

If there are 10 atoms of Carbon that requires 20 atoms of oxygen.

The number of atoms present is 10 + 20 = 30 atoms of any kind present. You just need to add.

Which type of rock is formed when rocks are melted deep in the Earth and cool to form new rocks?

A. Igneous
B. Metamorphic
C. Sandstone
D. Sedimentary

Answers

A. Igneous rocks

Igneous rocks are formed from melted rock deep inside the Earth. Sedimentary rocks are formed from layers of sand, silt, dead plants, and animal skeletons. Metamorphic rocks formed from other rocks that are changed by heat and pressure underground.

Answer:

igneous

Explanation:

key word: melt, cool. igneous rocks are when lava is melted then cooled off, then becoming a igneous rock.

can y’all please help me answer?

Answers

Answer:

It really depends on the situation. If you have 1000 elk and 2 wolves, they really would play a better role in killing off elk so that the elk population doesn't get over populated and diseased, causing a major population collapse. But if there were only 10 elk and 50 wolves, the wolves would play a very negative role on the population.

Hope this helps!

Explanation:

The equations ? It’s for a chemistry class, and he said we need to explain and write down the math problems?

Answers

Answer:

I think this is because math and chemistry go together and the math problems are science related.

Explanation:

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