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]".

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Related Questions

calculate the molar mass for each of the following compounds 7. PbSO
8. Ca(OH)2
9. Na3PO4
10. (NH4)2CO3
11. C6H12O6
12. Fe3(PO4)2
13. (NH4)2S
14. Zn(C2H3O2)2

Answers

Answer:

Fe3(PO4)2

Explanation:

calculate the molar mass for each of the following compounds 7. PbSO

8. Ca(OH)2

9. Na3PO4

10. (NH4)2CO3

11. C6H12O6

12. Fe3(PO4)2

13. (NH4)2S

14. Zn(C2H3O2)2

A 38-kilogram child roller skates on a circular track with a radius of 24 m. Her velocity is 6.0 m/s. What centripetal force does she experience?

580 N
0.16 N
57 N
0.38 N

Answers

ANSWER: 57 N

took that already

what substance changes directly solid to gas
3 examples​

Answers

Answer:

Air FreshenersSpecialized PrintersMoth Balls

                       

The process in which solids directly change to gases is known as sublimation. This occurs when solids absorb enough energy to completely overcome the forces of attraction between them. Dry ice is an example of solids that undergo sublimation.

Which transition could represent an atom that emits a photon with 10.2 eVeV of energy?

Answers

There is a co2 contotution

periodicity in chemical properties is based on atomic structure." explain.





Answers

Answer:

Periodicity is caused by regular and predictable variations in element atomic structure. ... The rows in the periodic table (the periods) reflect the filling of electrons shells around the nucleus, so when a new row begins, the elements stack on top of each other with similar please help me rank up

Periodicity means the repeating trends in properties of elements in a regular interval.  Precocity in chemical properties depends on the atomic structure because, the size, number of electrons, etc affects their reactivity.

What is periodicity?

Periodicity is the repetition in in trends in properties after a regular interval. In periodic table, all the elements are classified into different groups and periods.

Groups are vertical columns containing elements of same number of valence electrons and similar chemical and physical properties. Periods are horizontal rows where elements are arranges in the increasing order of atomic number.

Along a period the atomic size decreases, ionization energy and electronegativity increases. But down a group just the reverse for this happens.

In a chemical reaction only valence electrons are participating and the size and number of valence electrons etc affects the chemical reactivity of elements. That's why it is said like periodicity in chemical properties is based on the atomic structure.

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10 ml of solution of acetic acid is added to 250 ml volumetric flask , the concentration of diluted vinegar is 0.01 M. What is the % by mass of acetic acid in vinegar if the density of vinegar is 1.05 g/ml. ( C: 12 O:16 H: 1 )​

Answers

The percentage by mass of the acetic acid is 0.057%.

The given parameters:

Volume of the acetic acid = 10 mlVolume of the flask, = 250 mlConcentration of the diluted vinegar = 0.01 MDensity of the vinegar, ρ = 1.05 g/ml

The concentration of the acetic acid is calculated as follows;

[tex]C_1V_1 = C_2 V_2\\\\C_1 = \frac{ C_2 V_2}{V_1} \\\\C_1 = \frac{0.01 \times 250}{10} \\\\C_1 = 0.25 \ M[/tex]

The number of moles of acetic acid in the given concentration;

[tex]C = \frac{mol}{L} \\\\mole = CL\\\\mole = 0.25 \times 10 \times 10^{-3} \\\\mole = 0.0025[/tex]

The molar mass of acetic acid = 60 g/mol

The mass of acetic acid in the given number of moles is calculated as follows;

m = conc. x molar mass

m = 0.0025 x 60

m = 0.15 g

The mass of vinegar in the volume and density;

m = density x volume

m = 1.05 x 250

m = 262.5 g

The percentage by mass of the acetic acid is calculated as follows;

[tex]= \frac{0.15}{262.5} \times 100\%\\\\= 0.057 \%[/tex]

Thus, the percentage by mass of the acetic acid is 0.057%.

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Octane has a density of 0.703 g/ml. Calculate the mass of CO2(g) produced by burning one
gallon of octane. There are 3.79 liters to one gallon.

Answers

The mass of CO₂ gas produced during the combustion of one gallon of octane is 8.21 kg.

The given parameters:

Density of the octane, ρ = 0.703 g/mlVolume of octane, v = 3.79 liters

The mass of the octane burnt is calculated as follows;

[tex]m = \rho V\\\\m = 0.703 \ \frac{g}{ml} \times 3.79 \ L \ \frac{1000 \ ml}{L} \\\\m = 2,664.37 \ g[/tex]

The combustion reaction of octane is given as;

[tex]2C_8H_{18} + \ 25O_2 \ --> \ 16CO_2 \ + \ 18H_2O[/tex]

From the reaction above:

228.46 g of octane -------------------> 704 g of  CO₂ gas

2,664.37 of octane --------------------> ? of CO₂ gas

[tex]= \frac{2,664.37 \times 704}{228.46} \\\\= 8,210.3 \ g\\\\= 8.21 \ kg[/tex]

Thus, the mass of CO₂ gas produced during the combustion of one gallon of octane is 8.21 kg.

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2. A compound with an empirical formula of C2H3Br2 has a molar mass of 373.69 g/mol. What is
the molecular formula?
(The molar mass of C2H3Br2 = 186.85 g/mol)
E) C4H6Br4
А) C2H3Br2
B) CHBr
C) C6H9Br6 D) C4H6Br2
(0.5 Points)
A

Answers

C4H6Br4
Because 373.69 is the mass we want, but the empirical mass so far is 186.85

If you notice, 186.85 x 2 is 373.69
So now we times every number in
C2H3Br2 by 2
So c4h6Br4

Empirical is the simplest whole number ratio of elements in a compound. Molecular formula is n times the empirical formula, where n is integers 1,2,... The molecular formula is  C[tex]_4[/tex]H[tex]_6[/tex]Br[tex]_4[/tex]. The correct option is option E.

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.

n=empirical formula mass÷ molecular formula mass

n=1,2,3....

empirical formula mass = 373.69 g/mol

molecular formula mass=  186.85 g/mol

substituting all the given values in the above formula, we get

n=  186.85 g/mol÷  373.69 g/mol

   = 2

Multiply C[tex]_2[/tex]H[tex]_3[/tex]Br[tex]_2[/tex] by 2, which comes out to be C[tex]_4[/tex]H[tex]_6[/tex]Br[tex]_4[/tex].

Therefore, the molecular formula is C[tex]_4[/tex]H[tex]_6[/tex]Br[tex]_4[/tex]. The correct option is option E.

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"Aqueous barium chloride reacts with aqueous sodium sulfate
to produce solid barium sulfate and aqueous sodium chloride."
Which chemical equation correctly translates the description
above?

Answers

Answer:

u should go to gathmath

Explanation:

it's alot better

Element X has an electron configuration of 2-8-2. This element will combine with the oxide ion to form a compound with the formula

Answers

2+8+2 = 12 electrons
Magnesium has 12 electrons
Magnesium and oxide combine to for Magnesium Oxide
Mg^2+ + O^2- = MgO

Why does the Hubble Space Telescope take clearer pictures than other telescopes?

Answers

Answer:

Space-based telescopes like Hubble get a much clearer view of the universe than most of their ground-based counterparts. ... Ground-based telescopes can't do the same, because the Earth's atmosphere absorbs a lot of the infrared and ultraviolet light that passes through it.

When the radiation isn't quite strong
enough to kill right away a terrible
Condition follows what is it called
and what is happening.

Answers

When radiation isn’t Enough to kill you but it’s too much for your body to handle you would get what is called radiation poisoning. the symptoms are vomiting, nausea, diarrhea, headache, and several others

how many compounds can I make with sodium, hydrogen, oxygen?

will give brainliest and 100 points to the correct answer

Answers

Answer:

маны

Explanation:

Answer:

2H2 + O2 → 2H2O

Explanation:

Which compound contains ionic bonds?
No
No2
CaO
CO2

Answers

Sodium chloride, on the other hand, contains ions; it is an ionic compound. Ionic compounds contain ions and are held together by the attractive forces among the oppositely charged ions. Common salt (sodium chloride) is one of the best-known ionic compounds.

NEED ANSWER! WILL BRAINLIST!
• Why are tailings an environmental concern?

A. They are a form of sewage that is found in agricultural runoff.
B. They are the remains from mining and contain harmful chemicals.
C. They are the waste products left over from fracking for natural gas.
D. They are a type of greenhouse gas that can enter the atmosphere.

Answers

B. They are the remains from mining and contain harmful chemicals.

Which of the following is a completely elastic collision? A. a ball rebounds against a wall, reversing its direction, but at only half the speed. B. Two balls collide, stick to each other, and move together after the collision. C. Two balls collide and move at a right angle to each other after the collision at a reduced speed. D. Two balls collide head on, each reversing its direction and traveling at half the speed. E. A ball with velocity v collides with a ball at rest; after the collision the first ball is at rest and the second ball has velocity v. I will mark brainliest​

Answers

Answer:

Answer E.

For a collision to be completely elastic, there must be NO LOSS in kinetic energy.

We can go through each answer choice:

A. Since the ball rebounds at half the initial speed, there is a loss in kinetic energy. This is NOT an elastic collision.

B. A collision involving sticking is an example of a perfectly INELASTIC collision. This is NOT an elastic collision.

C. A reduced speed indicates that there is a loss of kinetic energy. This is NOT elastic.

D. The balls traveling at half the speed after the collision indicates a loss of kinetic energy, making this collision NOT elastic.

E. This collision indicates an exchange of velocities, characteristic of an elastic collision. We can prove this:

Let:

m = mass of each ball

v = velocity

We have the initial kinetic energy as:

KE = \frac{1}{2}mv^2 + 0 = \frac{1}{2}mv^2KE=21mv2+0=21mv2

And the final as:

KE = 0 + \frac{1}{2}mv^2 = \frac{1}{2}mv^2KE=0+21mv2=21mv2

Answer:

E

Explanation:

hope this helps

If 10.0 kg of water occupies 10.0 liters, what is the volume in quarts?

Answers

10.0 liters, if 10.0 answer 10.6 :)

When thinking about genetic engineering in agriculture, which type of issue has the most direct consequences? economical issues political issues social issues environmental issues

Answers

Explanation:

It is claimed that the increases in crop productivity brought about by genetic engineering can help relieve problems faced by farmers by decreasing the losses caused by pests, disease, weeds, and other stressors (Guerinot 2000).

Which of these is a balanced chemical equation?

Answers

CH4+2 O2= CO2 +2 H2O

Which statement is false?
a. The density of a gas is constant as long as its temperature remains
constant.
b. Gases can be expanded without limit.
c. Gases diffuse into each other and mix almost immediately when put into the
same container.
d. The molecular weight of a gaseous compound is a non-variable quantity.

Answers

The answer is A- false

How many atoms are AI(OH)3 ?​

Answers

Answer:

It has a total of three elements and seven atoms. Another use that aluminum hydroxide has is it treats the symptoms of too much stomach acid. Some examples of what it treats are: upset stomach, heartburn, and acid indigestion.

Explanation:

Atomicity is the no of atoms present in one molecule. Atomicity of Al(OH)3 = 7.

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:

Isomers are molecules that have the SAME molecular formula, but their atoms are bonded in a different way. Draw the 5 isomers of cyclopentane, C5H10 using Line Structural Diagrams only.

Answers

Answer:

1.methylcyclobutane

2.1-pentene

3.2-pentene(which can be Cis or Trans)

4.1,3-dimethylcyclopropane

5.ethylcylcopropane

I think these are it? I can't think of any other ones.

The specific heat of water is 4.184 J/gºC. How much energy (in
joules) is required to raise the temperature of 18g of H2O from
283K to 293K?

Answers

62.76 Joules
mark brainleist

Why are naphthalene ball used to protect clothes from insects? How does it gradually decrease and ultimately disappear?​

Answers

Naphthalene balls are used to protect clothes from insects because, when they deteriorate, they create a gas that kills some insects. The naphthalene ball gradually decreases because naphthalene goes through sublimation at room temperature.

What is the wavelength, in nanometers, of light with a frequency of 1.97x10^15 Hz?
a) 1.52 nm
b) 1.52x10^-7 nm
c) 152 nm
d) 15.2 nm

Answers

*v=c/λ
λ = 3*10^8 m/s /1.97 *10^15
λ = 1.5 *10^-7
The calculated wavelength is in unit of meter. use the relationship between meter and nanometer to convert to the correct units.

30 points!!!!

2K + 2H2O → 2KOH + H2

This reaction shows which detail about potassium and hydrogen?
Hydrogen is more reactive than potassium.
Potassium and hydrogen form ionic bonds.
Potassium is more reactive than hydrogen.
Potassium and hydrogen form covalent bonds

Answers

Answer:

2K + 2H2O → 2KOH + H2

So Hydrogen is more reactive than pottasium .

According to law of conservation of matter, 2 moles of potassium react with water to produce 1 mole of hydrogen gas.

So, 2 moles of potassium produce 1 mole of hydrogen gas.

Answer:

A

Explanation:

Hydrogen is more reactive than potassium.

3 useful applications of alkaline earth metals

Answers

Answer:

1 used in paint , toothpaste

2 used in fireworks and magnets

3 used to manufacture alloys

Bill sets up an experiment to determine and predict the velocity of a marble at the end of a track. He uses an electronic balance to weigh the marble. He then places the marble at the top of the track and releases it. Artie uses the time it takes the marble to pass through a photogate at the bottom of the track to calculate the velocity of the marble. ill notes that his prediction is significantly higher than his calculated velocity. Which error explains this difference? A) Bill forgot to account for friction. B) Bill forgot to zero the balance and found a weight for the marble that was too low. C) Bill weighed the marble in a weighing dish and failed to account for the mass of the weighing dish. D) Bill didn't position the photogate correctly and got the time required for the top of the marble to pass through, rather than reach the middle.

Answers

Answer:

A

Explanation:

USATestPrep

Which statement best explains the purpose of using a mole in the measurement of matter? It is commonly used as another unit of mass. It allows chemists to deal with a large number of atoms. It is used only for studying the properties of gases. It explains that substances with the same moles have the same mass.

Answers

Answer:

B) It allows chemists to deal with a large number of atoms.

Explanation:

On Edge 2022

The  statement  which best explains the purpose of using a mole in the measurement of matter is that it allows chemists to deal with a large number of atoms.

What is a mole?

Mole is defined as the unit of amount of substance . It is the quantity measure of amount of substance of how many elementary particles are present in a given substance.

It is defined as exactly 6.022×10²³ elementary entities. The elementary entity can be a molecule, atom ion depending on the type of substance. Amount of elementary entities in a mole is called as Avogadro's number.

It is widely used in chemistry as a suitable way for expressing amounts of reactants and products.For the practical purposes, mass of one mole of compound in grams is approximately equal to mass of one molecule of compound measured in Daltons .Molar mass has units of gram per mole . In case of molecules, where molar mass  in grams present in one mole  of atoms is its atomic mass.

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