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:

brainly.com/question/18681264


Related Questions

Which of the following ideas did Greek philosopher Democritus contribute to the atomic theory?
A. Matter is composed of only one kind of particle, which can be easily destroyed.
B. Every element has a specific type of atom, which remains the same size in all forms of matter.
C. All matter is composed of small particles, which combine to make larger objects.
D. Each object is made up of one atom, which varies in size from very small to very large.
I will mark the correct answer the brainliest

Answers

Answer:

c. all matter is composed of small particles,which combine to make larger objects

please help me...
1. oak
2. catrpiller
3. Blue jay

Answers

Answer:

[tex]\left[\begin{array}{cc}Oak\ Leaves&Decrease\\Caterpillar&Decrease\\Blue\ Jay&Decrease\end{array}\right][/tex]

Because the fungus is killing the oak leaves, the caterpillars will have less food and die out, resulting in a decrease in blue jay populations.

Hope it helps :) and let me know if you want me to elaborate.

Which of the following is a challenge of prosthetic engineering that has been met through tissue engineering?

- Predicting failure
- Biocompatibility
- Strength
- Power

Answers

Answer:

Biocompatibility

Explanation:

I’m a genius and it’s the answer :D

Biocompatibility is a challenge of prosthetic engineering that has been met through tissue engineering. Hence, option B is correct.

What is Biocompatibility?

Biocompatible materials are used in medical devices, such as menstrual cups, stents, or ventilators.

A biocompatibility problem might happen when some of the materials are trapped in the patient's gingival sulcus.

Tissue engineering is an important field of regenerative medicine for tissue repair (after damaged caused by a disease or an accident, for example).

To offer this possibility, stem cells are important tools owing to their capacity to differentiate into a large number of cells according to the stimuli provided.

Hence, option B is correct.

Learn more about Biocompatibility here:

https://brainly.com/question/16037547

#SPJ2

Lithium has an atomic mass of 6.941 amu. Lithium has two isotopes. One isotopes has a mass of 6.015 amu with a relative abundance of 7.49%. What is the mass of the other isotopes?

Answers

Explanation:

List the known and unknown quantities and plan the problem. Change each percent abundance into decimal form by dividing by 100. Multiply this value by the atomic mass of that isotope. Add together for each isotope to get the average atomic mass.

Answer:

The atomic mass of second isotope is 7.016

Explanation:

Given data:

Average Atomic mass of lithium = 6.941 amu

Atomic mass of first isotope = 6.015 amu

Relative abundance of first isotope = 7.49%

Abundance of second isotope = ?

Atomic mass of other isotope = ?

Solution:

Total abundance = 100%

100 - 7.49 = 92.51%

percentage abundance of second isotope = 92.51%

Now we will calculate the mass if second isotope.

Average atomic mass of lithium = (abundance of 1st isotope × its atomic mass) +(abundance of 2nd isotope × its atomic mass)  / 100

6.941 = (6.015×7.49)+(x×92.51) /100

6.941 =  45.05235 + (x92.51) / 100

6.941×100 = 45.05235 + (x92.51)

694.1 - 45.05235   = (x92.51)

649.04765 = x 92.51

x = 485.583 /92.51

x = 7.016

The atomic mass of second isotope is 7.016

____________________________________________________

(Hope this helps can I pls have brainlist (crown)☺️)

Which is warmer -30C or -30 F?​

Answers

-30°F is warmer than -30°C.

The -ve sign is used when the temperature drops down. Celsius is the greater unit. By converting, -30°F = -1.11°C (approx.) We know that, -1.11 > -30. So, -30°F (-1.11°C) is warmer than -30°C.

Formula :-

(x°C × 9/5) + 32 = y°F

_____

Hope it helps ⚜

Answer:

-30 c is warmer

Explanation:

-30 c =-22 f

-30 f=-34.444 c

the size of camphor kept in store house gradually decrease in size after few а days? ​

Answers

Answer:

Because it goes through the process of sublimation.

Explanation:

about distillation methods​

Answers

Answer:

Distillation, or classical distillation, is the process of separating the components or substances from a liquid mixture by using selective boiling and condensation. Dry distillation is the heating of solid materials to produce gaseous products

Answer:

Explanation:

Distillation, or classical distillation, is the process of separating the components or substances from a liquid mixture by using selective boiling and condensation. Dry distillation is the heating of solid materials to produce gaseous products.

_________.__________ and___________ are energy science

Answers

Answer:

Chemical, Mechanical, and Nuclear Energy

Explanation:

Apply Concepts
6. Describe the ecosystem in the picture.

Answers

What is the picture

help please I'll mark you as a brainliest promise.​

Answers

Answer:

Law of the Sea Treaty

LOST Local Option Sales Tax (special purpose tax)

LOST Linux One Stanza Tips

LOST Liberty Owners Special Team

LOST Looking Over Strange Terrain :-)

LOST Line Of Sight Tasking

Explanation:is this what you meant?

Would you expect a Boron (B) atom with atomic mass = 9.999 to be stable?

Answers

The balance of forces allows to find the result for the question if the isotope of boron 9.99 una  is stable:

The boron isotope of mass 9.99 uma is unstable because the repulsive force increases.

The stability of atomic nuclei depends on the balance the force is electrostatic repulsion between the protons and the strong interaction of attraction.

One way to achieve this balance is to increase the separation of the protons with uncharged particles between them, the neutral ones, the strong interaction is of the same magnitude for protons and neutrons, therefore the repulsion is decreased and the strong attraction interaction is maintained. .

In the case of Boron, which has 5 protons, the stable structures have more atomistic 10 and 11 una, which is why it has 5 and 6 neutrons each. Therefore each proton has  a neutrons next to it and in the other case a proton at the end has two neutrons, this causes the distance between the protons to increase, decreasing the electrostatic repulsion.

It indicates that we have a Boron nucleus of mass 9.999. The number of protons must remain fixed, therefore there are only 4 neutrons.

Consequently, some of the protons does not have a neutron next to it and can approach the other proton, therefore the electrostatic repulsion increases and the stability of the atom decreases.

In conclusion, using the balance of Forces we can find the result for the question if the isotope of boron 9.99 una is stable:

The boron isotope of mass 9.99 amu is unstable because the repulsive force increases.

Learn more about nuclear stability here: https://brainly.com/question/897383

which planet is closests to the moon

Answers

Answer:

Earth

Explanation:

Answer:

Earth

Explanation:

Hope this helps! Pls give brainliest! Also, please sub to Kgirl633 on yt.

What is the formula unit for an ionic compound?

Answers

Answer:

empirical formula

Many fundamental concepts are at the heart of chemistry. Match the description to the name.

Answers

Answer:

you dony have a picture for me to match them

Explanation:

Below the time line, list the layers from oldest to youngest

Answers

Answer:

F,E,D,C, B, A, G, H, I

Explanation:

I think. It goes bottom to top. the fault probably cause g to happen and maybe h but mattering on what caused what I am not positive

Sodium chloride reacts with copper sulfate to produce sodium sulfate and copper chloride.
2NaCl(aq) + CuSO4(aq) → Na2SO4(aq) + CuCl2(s)
+
This equation represents a
O synthesis reaction.
O decomposition reaction.
O single replacement reaction.
O double replacement reaction.
O

Answers

Question:

Sodium chloride reacts with copper sulfate to produce sodium sulfate and copper chloride.

2NaCl(aq) + CuSO4(aq) → Na2SO4(aq) + CuCl2(s)

+

This equation represents a

O synthesis reaction.

O decomposition reaction.

O single replacement reaction.

O double replacement reaction.

Answer :

double replacement reaction

ありがとう!

Sodium chloride reacts with copper sulfate to produce sodium sulfate and copper chloride. This equation represents a double replacement reaction. Therefore, the correct option is option D.

What is double replacement reaction?

In a double replacement process, the ions in two input ionic compounds are exchanged for the same ions in two new product compounds. When two reactants swap cations or anions to produce two new products, the process is known as a double replacement reaction.

Double displacement reactions and metathesis reactions are other names for double replacement processes. Double replacement reactions include neutralisation, precipitation, and gas production. Sodium chloride reacts with copper sulfate to produce sodium sulfate and copper chloride. This equation represents a double replacement reaction.

Therefore, the correct option is option D.

To know more about double replacement reaction, here:

https://brainly.com/question/30783535

#SPJ5

Where do you put the value for how many of each atom you need?
Multiple choice
A. Below and before the symbol.
B. Above and after the symbol.
C. Below and after the symbol.
D. Above and before the symbol.

Answers

Answer:A

Explanation

:

The decomposition of ethanol (C2H5OH) on an alumina (Al2O3) surface C2H5OH1 g2 h C2H4 1 g2 1 H2O1 g2 was studied at 600 K. Concentration versus time data were col- lected for this reaction, and a plot of [A] versus time resulted in a straight line with a slope of 24.00 3 1025 mol/L  s. a. Determine the rate law, the integrated rate law, and the value of the rate constant for this reaction. b. If the initial concentration of C2H5OH was 1.25 3 1022 M, calculate the half-life for this reaction. c. How much time is required for all the 1.25 3 1022 M C2H5OH to decompose?

Answers

The rate constant for the decomposition of ethanol on an alumina surface is 24.00 × 10²⁵ M.

The rate law is: rate = 24.00 × 10²⁵ M/s

The integrated rate law is: [C₂H₅OH]t = [C₂H₅OH]₀ - 24.00 × 10²⁵ M/s × t

If the initial concentration of C₂H₅OH was 1.25 × 10²² M, the half-life is 2.60 × 10⁻⁵ s.

The time required for all the 1.25 × 10²² M C₂H₅OH to decompose is 5.21 × 10⁻⁵ s.

Let's consider the decomposition of ethanol on an alumina surface.

C₂H₅OH(g) ⇒ C₂H₄(g) + H₂O(g)

The plot of [A] vs time (t) resulted in a straight line, which indicates that the reaction follows zero-order kinetics.

The slope, 24.00 × 10²⁵ M/s, represents the rate constant, k.

What is zero-order kinetics?

It is a chemical reaction in which the rate of reaction is constant and independent of the concentration of the reacting substances

The rate law for zero-order kinetics is:

rate = 24.00 × 10²⁵ M/s

The integrated rate law for zero-order kinetics is:

[C₂H₅OH]t = [C₂H₅OH]₀ - 24.00 × 10²⁵ M/s × t

What is the half-life?

Is the time for the amount of substance to decrease by half.

If the initial concentration of C₂H₅OH was 1.25 × 10²² M, we can calculate the half-life [t(1/2)] using the following formula.

t(1/2) = [C₂H₅OH]₀ / 2 × k

t(1/2) = (1.25 × 10²² M) / 2 × (24.00 × 10²⁵ M/s) = 2.60 × 10⁻⁵ s

We can calculate the time required for all the 1.25 × 10²² M C₂H₅OH to decompose using the integrated rate law.

[C₂H₅OH]t = [C₂H₅OH]₀ - 24.00 × 10²⁵ M/s × t

0 M = 1.25 × 10²² M - 24.00 × 10²⁵ M/s × t

t = 5.21 × 10⁻⁵ s

The rate constant for the decomposition of ethanol on an alumina surface is 24.00 × 10²⁵ M.

The rate law is: rate = 24.00 × 10²⁵ M/s

The integrated rate law is: [C₂H₅OH]t = [C₂H₅OH]₀ - 24.00 × 10²⁵ M/s × t

If the initial concentration of C₂H₅OH was 1.25 × 10²² M, the half-life is 2.60 × 10⁻⁵ s.

The time required for all the 1.25 × 10²² M C₂H₅OH to decompose is 5.21 × 10⁻⁵ s.

Learn more about zero-order kinetics here: https://brainly.com/question/13314785

Which of the following best represents a ​chemical change?

A. Chopping wood
B. Silver tarnishing (changing color)
C. Grape kool-aid mix dissolving in water
D. Dry ice turning into a gas (sublimation- a change of state)

Answers

B. silver tarnishing

The balanced chemical equation for the conversion of nitrogen to ammonia is:2N₂(g) + 3H2(g)2NH3(g): Which of the following statements concerning this chemical equation is/are correct?

1. In a 22.4 L container at standard temperature, 2 atm of nitrogen gas will react with 3 atm of hydrogen gas to produce 2 atm of ammonia gas.

2. At standard pressure and temperature, 22.4 L of nitrogen gas will react with 22.4 L of hydrogen gas to produce 22.4 L of ammonia gas.

3. At standard pressure and temperature, 44.8 L of nitrogen gas will react with 67.2 L of hydrogen gas produce

22,4 L of ammonia gas​

Answers

Answer:

At standard temperature and pressure, 44.8

Explanation:

Define Endothermic reaction in terms of Deta H

Answers

I didn't learn about that topic in school,but I found this :

I hope it helps<3

A Carnot engine takes 2000 j of heat from a reservoir at 500 k, does some work and discards some heat to a reservoir at 350k . how much work does it do, how much heat is discarded, and what is it's efficiency?​

Answers

Answer:

Explanation:

The Carnot engine is a theoretical or conceptual heat engine that has a higher efficiency than any practical or theoretical heat engine working between the same temperature range. The theoretical efficiency of a Carnot engine is considered as the highest efficiency and no practical heat engines can operate at that efficiency. A Carnot engine draws heat energy, performs useful work and the leftover energy is released from the working substance. According to the second law of thermodynamics, there must be a temperature gradient between the heat energy drawing point and release point of the heat engine.

Differentiate between acids and bases on the basis of their pH values Give an example of each type. Please help worth 100 points!!!!!!!

Answers

Answer: Well 0-7 is acid, and 0-3 is a strong acid. 4-7 is a weak acid. 8-11 is strong base. 12-14 is weak base!

Explanation:

A 0.500-g sample containing Na2CO3 plus inert matter is analyzed by adding 50.0 mL of 0.100 M HCl, a slight excess, boiling to remove CO2, and then back-titrating the excess acid with 0.100 M NaOH. If 5.6 mL NaOH is required for the back-titration, what is the percent Na2CO3 in the sample?

Answers

The percentage by mass of Na2CO3 in the sample is 48%.

The equation of the reaction of Na2CO3 with HCl;

Na2CO3(aq) + 2HCl(aq) ------> 2NaCl(aq) + H2O(l) + CO2(g)

Since the HCl is in excess, the excess is back titrated with NaOH as follows;

NaOH (aq) + HCl(aq) ---->NaCl(aq) + H2O(l)

Number of moles of HCl added =  0.100 M × 50/1000 L = 0.005 moles

Number of moles of NaOH added = 5.6/1000 ×  0.100 M = 0.00056 moles

Since the reaction of NaOH and NaOH is 1:1, 0.00056 moles of HCl reacted with excess HCl.

Amount of HCl that reacted with Na2CO3 =  0.005 moles -  0.00056 moles = 0.0044 moles

Now;

1 mole of Na2CO3 reacts with 2 moles of HCl

x moles of Na2CO3 reacts with 0.0044 moles of HCl

x = 1 mole × 0.0044 moles / 2 moles

x = 0.0022 moles

Mass of Na2CO3 reacted = 0.0022 moles × 106 g/mol = 0.24 g

Percentage of Na2CO3  in the sample = 0.24 g/ 0.500-g × 100/1 = 48%

Learn more about back titration: https://brainly.com/question/25485091

How abundant is Polonium in the earth's crust?

Answers

Even in pitchblende, polonium is exceedingly rare: 1,000 tons of ore must be treated to yield 40 milligrams of polonium. It has a one-part-in-ten-thousandth-thousandth-thousandth-thousandth-thousandth-thousandth It is found in nature as a byproduct of the radioactive decay of uranium, thorium, and actinium.

Atomic Number: 210

Explain why the first ionisation energy of beryllium is higher than the first ionisation
energy of lithium.

Answers

Answer:

since the distance between the electron and the nucleus is smaller in B than in Li, the electrostatic nuclear force of attraction experienced by B is higher than the one experienced by Li...this translates to the higher first ionization energy in B than in Li.

Explanation:

i hope it's helping!

What is the mass of an aluminum block if the density of aluminum is 2.70
g/cm and the volume of that block is 4.8 cm?

Answers

Answer: 50 M

Explanation:

Mass

Density×Volume2.7(4.8)11.6111.6g

Formula used

Density=Mass/Volume

To calculate the atomic mass of an element, the percent
abundance of etch isotope is needed. ?

Answers

Answer:

List the known and unknown quantities and plan the problem. Change each percent abundance into decimal form by dividing by 100. Multiply this value by the atomic mass of that isotope. Add together for each isotope to get the average atomic mass

Explanation:

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.

Which of the following transports information from the eye to the brain?

A) iris

B) visual cortex

C) optic nerve

D) cornea

Answers

Answer:

c

Explanation:

c is the correct answer

Answer:

c

Explanation:

Other Questions
find the probability of picking a red marble and a green marble when 2 marbles are picked (without replacement)from a bag containing 6 red and 6 green marbles.} 5. At a wedding reception, an equalnumber of guests were seated at12 round tables. The 13 people inthe wedding party were seated ata rectangular table. There were 121people at the reception altogether.Which equation could you use to findthe number of guests, n, seated at eachround table?A 12 + 13n = 121B 12n + 13= 121C 121 = 12n - 13D 121 = 13n - 12 18+17+16+15+14+13+12+11+10 what is the answer The fruit of the mistletoe, a parasitic angiosperm, is a one-seeded berry. In members of the genus Viscum, the outside of the seed is viscous (sticky), which permits the seed to adhere to surfaces such as the branches of host plants or the beaks of birds. What should be expected of the fruit if the viscosity of Viscum seeds is primarily an adaptation for dispersal rather than an adaptation for infecting host plant tissues A 10-foot tall tree casts a 4-foot shadow. How tall is the building next to the tree if the buildings shadow is 38 feet long? When is the a personal used in Spanish?A. The a personal is used when the direct object of a sentence is a personB. The a personal is used when there is a direct object in the sentenceC. Every sentence has the a personal.D. The a personal is used when the direct object is an indefinite person. One number is 6 less than a second number.Twice the second number is 9 less than 5 timesthe first. Find the two numbers. Question 2 of 10What was the best way for people in the early 1800s to travel long distances?O A. By horseB. On riversC. On trainsO D. By wagonSUBMIT Suppose there are two small island countries: Avarice, which is populated by people who are completely self-interested, and Altruism, which is populated by people who have adopted social norms of generosity and cooperation. Suppose residents of each island often play prisoner's dilemma games, always matched with a person from the same island, but not a person who they know or will play with again. If the same number of games is played on each island, you would expect: write the names of hybrid layer variety of hen. please answer the correct one. I will mark as brain list the best organiza plan and best type of message for persuading someone to donate to a community project that feeds the homeless is a To prepare for an overseas assignment, employees will often role play various situations and practice responding in culturally sensitive ways. This process is most effective when the trainer can include people from the actual host country to help. The goal is to duplicate as closely as possible scenarios that the employees may face, such as having to question or reprimand a local employee, making a presentation to host country upper-level managers, or approaching a person of the opposite gender in countries where the sexes do not mix as freely as in the United States. This process is called Can someone explain If the odds against Deborahs winning first prize in a chess tournament are 1 to 11 what is the probability of the event that she will win first prize Alpha Industries stock sold for $39 a share at the beginning of the year. During the year, the company paid a dividend of $3 a share and then ended the year with a stock price of $37. The change in the stock price is best described as a: Weather: Current weather pattern continues through midnight, then partial clearing. Highs in the mid 40s, lows in the high 30s. Chance of precipitation 60% through midnight, reducing to 40% after midnight. Expected precipitation next 24 hours .75 inches. Winds from the west 10-15 mph. Safety Message: Avoid skin contact with floodwaters. Drive with lights on. Watch for downed power lines in flood vicinity. Carry personal flotation devices. Monitor City radio frequency F2 for safety updates. What information would you add to this summary of current actions? PLEASE HELP ASAP !!!!List two current court cases relating to the 1st amendment.Do a web search forcurrent court cases.NOTE: THESE CASES MUST BE FROM THE LAST FIVE YEARS. three types of transpiration Which set of angles are complementary Question 3 of 10Is ASAM-ADEL? If so, identify the similarity postulate or theorem thatapplies.A. Similar - AAB. Similar - SSSC. Similar - SASD. Cannot be determined