find the zeros of the quadratic equation f(x)= 6x²-3, and verify the relation between its zeros and coefficients.
using the formula
alpha+beta= -b/a
alpha × beta = c/a​

Answers

Answer 1

Answer:

Step-by-step explanation:

We are already given the following formulas :-

[tex]\blue{\alpha + \beta = \dfrac{-b}{a}}[/tex]

[tex]\red{\alpha \times \beta = \dfrac{c}{a}}[/tex]

Given that the polynomial is :-

[tex]\sf{6x^2 + 0x - 3}[/tex]

Now, we will use factorisation as our first weapon :-

6x² -3 = 0 [As we have to find the zeroes of the equation]

6x² = 3

x² = [tex]\dfrac{3}{6}[/tex]

x² = [tex]\dfrac{1}{2}[/tex]

x = [tex]\dfrac{1}{\sqrt{2}}[/tex]

Now, we can take one zero as 1/Root 2 and other -1/root 2

[tex]\dfrac{1}{\sqrt{2}} + \dfrac{-1}{\sqrt{2}} | \dfrac{0}{6} = 0[/tex]

0 |0 Hence verified.

[tex]\dfrac{1}{\sqrt{2}} \times \dfrac{-1}{\sqrt{2}} | \dfrac{-3}{6} = 0[/tex]

[tex]\dfrac{1}{2} | \dfrac{1}{2}[/tex]

Hence, proved.


Related Questions

I’m brain dead, anyone know this shi

Answers

Answer:

Option 1

Explanation:

p can hold upto 6 e-.

It would be easy if it gains 2e-, instead of losing 4e-, to be stable.

It gains 2e, and gets a charge of - 2e.

It forms O (2-)

6.
An element with high conductivity would be found in which
category?
Alkaline earth metals
transition metals
Group 1 metal
Alkali metals
***Why would you not pick the others?

Answers

You would choose The group 1 metals in this case.(aka your alkali metals)

Explanation:Looking at the periodic table it takes them 1 electron to give away to achieve stability which tells me they are by far the “smoothest” and “free moving” metals.Making it much more easier for electrons to be carried from one end to the other in its molten state.Because of how easy the electrons get to move from one end to the other,the currents are faster. (the easier the electrons move the better the conductivity)

Why are the other type of metals not really a good conductivity when compared to Group 1 Alkali metals?
Answer:Transition metals don’t really have a specific charge so it depends.Because of this it doesn’t determine how good it’s conductivity is because you don’t know what’s being lose unless it’s stated.And transitioning from metals to non-metals makes the property lean nearer to the non-metals which is not a good electrical conductivity.Furthermore,for alkaline earth metals it takes 2 charges to transfer to achieve stability which is not as smooth as group 1 metals,making it less as great in terms of conductivity.At the end of the day they all conduct electricity as they’re all metals.But it varies on how great they are which depends on their charges.

can somebody help me with this.​

Answers

Answer:

HI

H₂O

H₃O⁺

I⁻

Explanation:

Bronsted-Lowry acids are chemicals that can donate protons, and Bronsted-Lowry bases are chemicals that can accept them. Conjugate bases and acids are the resulting effect of losing or gaining a proton in the form of H⁺.

What is the molarity of 15.0 milliliters of an unknown acid that is titrated
with a 1.25 M NaOH solution and required 24.65 milliliters of base to
complete the titration?

Answers

Answer:

~2.054M

Explanation:

In this question ,I am going to assume that the acid is monoprotic acid(contains only one hydrogen) which I'll represent by HA.

Chemical equation:

NaOH(aq) + HA(aq)----->NaA(aq) + H2O(l)

The mole ratio of NaOH:HA is 1:1

1.25M NaOH=1.25 Moles/L or 1.25 moles /1000ml of NaOH

(1.25 moles /1000ml) x (24.65ml)=0.0308125 moles NaOH

Mole ratio is 1:1

So, moles of HA are also 0.0308125 moles

volume of HA  =15ml

To find molarity of HA:

=(0.0308125 moles x 1000ml)/(15ml)

~2.054M of HA

~Hope it helps:)

Which pollution effects the environment the most?
A. air pollution
B. water pollution
C. land pollution (ex. throwing trash in nature)
D. Noise pollution ​

Answers

Answer:

Air pollution effect the most

ANSWER :

A. air pollution

Extra Information :

❥ Air pollution can damage crops and trees in a variety of ways.

❥ Ground-level ozone can lead to reductions in agricultural crop and commercial forest yields, reduced growth and survivability of tree seedlings, and increased plant susceptibility to disease, pests and other environmental stresses (such as harsh weather).

Hope it helps ya...!!♡

18. How many grams are in 563 mL of chlorine gas at STP?

Answers

Answer:

[tex]at \: stp : \\ 22400 \: ml \: are \: occupied \: by \: 71 \: g \: of \: chlorine \\ 563 \: ml \: will \: be \: occupied \: by \: ( \frac{563}{22400} \times 71) \:g \\ = 1.78 \: g[/tex]

WILL MARK BRAINLIEST!!!!

How many moles are there in 993.6 grams of potassium sulfate (K2SO4)?

Answers

Answer:

5.702 mol K₂SO₄

General Formulas and Concepts:

Atomic Structure

Reading a Periodic TableCompoundsMoles

Stoichiometry

Using Dimensional Analysis

Explanation:

Step 1: Define

[Given] 993.6 g K₂SO₄

[Solve] moles K₂SO₄

Step 2: Identify Conversions

[PT] Molar Mass of K: 39.10 g/mol

[PT] Molar Mass of S: 32.07 g/mol

[PT] Molar mass of O: 16.00 g/mol

Molar Mass of K₂SO₄: 2(39.10) + 32.07 + 4(16.00) = 174.27 g/mol

Step 3: Convert

[DA] Set up:                                                                                                       [tex]\displaystyle 993.6 \ g \ K_2SO_4(\frac{1 \ mol \ K_2SO_4}{174.27 \ g \ K_2SO_4})[/tex][DA] Divide [Cancel out units]:                                                                         [tex]\displaystyle 5.7015 \ mol \ K_2SO_4[/tex]

Step 4: Check

Follow sig fig rules and round. We are given 4 sig figs.

5.7015 mol K₂SO₄ ≈ 5.702 mol K₂SO₄

MgCl2 + NaOH → Mg(OH)2 +Naci
Balance

Answers

MgCl2+2NaOH=Mg(OH)2+2NaCl

20 mL of hydrogen measured at 15° C is heated to 35°C.
What is the new volume at the same pressure?

Answers

V2 = 21.4 ml

Explanation:

Note: When dealing with gases, make sure that you change the units from °C to K.

T1 = 15°C + 273 = 288K

T2 = 35°C + 273 = 308K

V1 = 20 ml

V2 = ?

We use Charles's law to solve V2:

V1/T1 = V2/T2

or

V2 = (T2/T1)V1

= (308K/288K)(20 ml)

= 21.4 ml

Calculate the mass of NaOH
required to prepare a 0.343M
solution dissolved in 2500mL
of water.

Answers

Answer:

will this work or help?

Explanation:

Calculate the mass of NaOH required to prepare a 0.343 M solution dissolved in 2500 mL of water. 0.343 M = x mol / 2.5 L = 0.86 mol 0.86.

What volume of 15.9 M Nitric acid would be required to make 7.2 L of 6.00 M nitric acid? (hint: dilution problem) will mark brainliest if correct

a. 2.72 L
b. 686.88 L
c. .075 L
d. 272

Answers

Answer:

d

Explanation:

The symbols for elements with atomic numbers 4, 9, 16, & 17 are? (Respectively)

Answers

Answer:

the answer is 4=Be 9 =F 16=S 17 = CL

Explanation:

atomic no 4 = beryllium (Be)

" " 9 = fluorine (F)

16 = sulfur (S)

17 = chlorine (CL)

The atomic number of Beryllium is 4, the atomic number of fluorine is 9,  atomic number of sulfur is 16 and the atomic number of chlorine is 17.

What is atomic number?

The atomic number is defined as the number of protons in the nucleus of an atom or the number of electrons revolving around the nucleus in orbits or shell.

So we can conclude that he atomic number of Beryllium is 4, the atomic number of fluorine is 9,  atomic number of sulfur is 16 and the atomic number of chlorine is 17.

Learn more about atom here: https://brainly.com/question/6258301#SPJ2

what is non polar covalent bond​

Answers

Answer:

It is formed between two atoms of the same elements having same electronegativity in which the bonding electrons are equally shared between them. In this case, the centre of the positive charge coincides with the centre of the negative charge in theecular molecule. H, N: 0. etc. are the molecules in which non polar covalent bonds invalved. These substances are called non polar substances.

Answer:

A nonpolar covalent bond is a covalent bond in which the bonding electrons are shared equally between the two atoms. In a nonpolar covalent bond, the distribution of electrical charge is balanced between the two atoms.

Explanation:

For which substance is the standard heat of formation not equal to zero?

Hydrogen (H2)

Aluminum oxide (Al2O3)

Oxygen (O2)

Potassium (K)

Answers

Answer:

Aluminum oxide (Al₂O₃)

Explanation:

The standard heat (or enthalpy) of formation of a compound, is the amount of change in the enthalpy that takes place when 1 mole of the compound is produced from the elements it contains whereby the compounds and elements in the reaction are in their standard states

The standard state of an element, is the state in which the element is in the most stable form at a pressure of 1 bar

Therefore, the heat of formation of hydrogen, H₂, oxygen, O₂, and potassium, (K), will have a heat of formation of zero, while Al₂O₃ which is made of aluminum and oxygen in combining to form a compound in proportions which are different from their initial standard states will have a heat of formation not equal to zero

Please help this will determine my grade so I beg help me out and my grade

Answers

Answer:

C: checking your email

Explanation:

I believe that C would be impossible, as you cannot use wireless networks without radio waves

The answer is C (checking emails your email on laptop computer using coffee shop WiFi
Step by step explanation:
Radio waves are used for communications radio waves are a type of electromagnetic radiation best known for their use in communication technologies
So you can’t communicate or use WiFi’s without radio waves.
Have a nice day.

A sample of river wayer contains 125mg per dm^3 of dissolved soilds. Calculate the mass of dissolved soilds in grams in 250 cm^3 of this sample of river water. Giver your answer to 2 significant figures (4 marks)

I will give brainilist to anyone who answers​

Answers

Cm3 into dm3 = 250/1000= 0.25dm3

Answer is in g convert mg into g = 125/1000= 0.125g

This means there is 0.125g of solids in 0.25dm3

Need to know how much is in 1dm3

0.25dm3 is 1/4 of 1dm3

0.125/4 = 0.03125

0.031g (2S.F)

The mass of a substance is the product of its density and volume. Thus, the   mass of the dissolved solids with a density of 125 mg/dm³ with a volume of 250 cm³ is 31.25 mg.

What is density?

Density of a substance is the measure of its mass per unit volume. Thus it describes how much denser the substance is in a given volume. Mathematically it is the ratio of mass to the volume.

Density of a substance depends on the mass, volume, bond type, temperature and pressure. The ratio of density of a substance with the density of water is called its specific gravity.

It is given that the density of the dissolved solids is 125 mg/dm³ and the volume is 250 cm³ or 0.25  dm³. Thus the mass can be calculated as follows:

density = mass/volume

 mass   = density × volume

             = 0.25  dm³  ×  125 mg/dm³

             = 31.25 mg

Hence, the mass of the dissolved solids in the river wayer is 31.25 M=mg.

To find more on density, refer here:

https://brainly.com/question/15164682

#SPJ2

A solution with a pOH of 4.3 has a [H+] of ??
please help

Answers

Answer:

A solution with a pOH of 4.3 has a [H+] of 2*10⁻¹⁰ M.

Explanation:

The pOH (or potential OH) is a measure of the basicity or alkalinity of a solution.

pOH indicates the concentration of hydroxyl ions [OH-] present in a solution. It is defined as the negative logarithm of the activity of hydroxide ions. That is, the concentration of OH- ions:

pOH= -log [OH-]

On the other hand, pH is also a measure of the basicity or alkalinity of a solution. POH is an indicator that is related to pH by:

pOH + pH= 14

So, if the solution has a pOH equal to 4.3, the pH is calculated by:

4.3 + pH= 14

pH= 14 - 4.3

pH= 9.7

The pH is defined as the logarithm of the concentration of H+ ions, with the sign changed:

pH= -log [H+]

So, in this case:

9.7= - log[H+]

Solving

[H+]= 2*10⁻¹⁰ M

A solution with a pOH of 4.3 has a [H+] of 2*10⁻¹⁰ M.

Whilst Et₃CCl is unreactive towards water even at elevated temperatures, Et₃SiCl is hydrolyzed rapidly. Explain the origin of these differences and provide a reaction scheme with mechanistic details for the hydrolysis of Et₃SiCl.

Answers

Answer:

See Explanation

Explanation:

In discussing the reason why Et₃SiCl is more easily hydrolysed than Et₃CCl, we must remember that the electronegativity difference between silicon and chlorine is much higher than the electronegativity difference between carbon and chlorine.

As a result of this, the Si-Cl bond in Et₃SiCl is more polar and hence susceptible to attack by water than the C-Cl bond in Et₃CCl.

Also, it is postulated that the presence of vacant d orbitals on silicon assists hydrolysis in Et₃SiCl. Such vacant orbitals are absent in carbon hence Et₃CCl does not undergo hydrolysis.

The reaction scheme is shown in the image attached to this answer.

Describe Covalent bond.​

Answers

Answer:

The bond formed between 2 or more elements by sharing of electrons is called covalent bond

for ex, let's say Carbon, element of group 14 , it requires 4 electrons to complete it's octate it's valency is 4, now either it can donate 4 electrons to some other element or gain from others. but in both case it requires too much energy so, it neither loose the electrons nor gain, it shares its 4 electrons and formed a constant bond ex - ccl4, ch4

Bond formed by sharing of electron - covalent bond bond formed by gaining or loosing of electron is ionic bond.

when a tip of a plant is cut it doesn't grow well​

Answers

Explanation:

the tip of a growing plant contains special rapidly diving cells called apical meristem ,these cells are responsible for increase in the length of the plant . if we cut out these cells ,length growth of the plant will be stunned as these cells are not present anyplace else.

^^


Has the correct answer.

True or false: SOLIDS have a definite shape, a definite volume, and cannot flow.

Answers

This statement is true.

Answer:

true

Explanation:

because solids have strong intermolecular force of attraction so they have definite shape and volume and cannot flow

A large pile of marbles weigh 592.45g. 15 marbles weigh 43.35 g. How

many marbles are in the large pile

Answers

Answer:

205 marbles.

Explanation:

Hello there!

In this case, according to the given information in this problem, it is possible for us to realize that the weight of 15 marbles is 43.35 g and the idea is to calculate the number of marbles in 592.45 g, so we can use the following setup:

[tex]\frac{15marbles}{43.35g} =\frac{x}{592.45g}[/tex]

And we solve for x as follows:

[tex]x=\frac{15marbles*592.45g}{43.35g} \\\\x=205marbles[/tex]

Regards!

Al aumentar la temperatura ¿Cómo varía la presión?​

Answers

Answer:

california y nueva york

Explanation:

Answer:

las partículas se mueven más rápido, y por lo tanto tienen mayor velocidad, por lo tanto mayor impulso y por lo tanto mayor fuerza cuando chocan con las paredes, por lo que la presión aumenta.

Explanation:

A 10.0 cm by 4.00 cm pool is filled with water to a depth of 2.50 cm. How many joules are needed to heat the water from 18.5oC to 32.0oC? Cp of water = 4.184 J/goC

Answers

Answer:

5648.4 Joules

Explanation:

This problem can be solved by the calorimetry formula:

Q = C . m . ΔT

where ΔT indicates the change of temperature

Final T°  - Initial T°

m = mass

C = specific heat of water and Q = Heat

We do not have m, but we have the volume of water. We can obtain mass from density.

Volume of water = 10 cm . 4cm . 2.50 cm = 100 cm³

1 cm³ = 1 mL

Density of water = 1 g/mL

Therefore our 100 mL of water is the volume for 100 g. We replace data:

Q = 4.184 J/g°C . 100 g . (32°C - 18.5°C)

Q = 5648.4 Joules

What is the pH of 0.0000043M HNO3 ? (3 sig figs, round the last digit only if needed)

Answers

Answer:

pH = 5.37

Explanation:

We'll begin by obtaining the concentration of the hydrogen ion in the solution. This can be obtained as follow:

HNO₃ (aq) —> H⁺ (aq) + NO₃¯ (aq)

From the balanced equation above,

1 mole of HNO₃ produced 1 mole of H⁺.

Therefore, 4.3×10¯⁶ M HNO₃ will also produce 4.3×10¯⁶ M H⁺.

Finally, we shall determine the pH of the solution. This can be obtained as follow:

Concentration of Hydrogen ion [H⁺] = 4.3×10¯⁶ M

pH =?

pH = –Log [H⁺]

pH = –Log 4.3×10¯⁶

pH = 5.37

Therefore, the pH of the solution is 5.37

You have a block of wood with a mass of 700 grams and a volume of 1100 cm.
What is the density of wood?

Answers

The Mass of wood be 400
The density of the wood is 400

Perform the following
mathematical operation, and
report the answer to the
appropriate number of
significant figures.
4.7257 - 3.12 = [?]

Answers

The answer is
1.6057

Answer:

1.61

Explanation:

I got this answer from a calculator and it's correct.

The diagram shows genetic structures.



Which label best represents the area marked Y?

chromosome
protein
gene
DNA

Answers

Answer:

The correct answer is - DNA (check image).

Explanation:

In this diagram, The W mark is the nucleus of the cell X is the chromosome Y represents the DNA and Z is the gene. Gene is the segment of the DNA and DNA is the pat of the chromosome with histone. Chromosomes are present in the nucleus of the cell. These all are the structures of the genetic structures.

Thus, the correct answer is - DNA.

Answer:

dna

Explanation:

edge

__________________ are high-speed bands of winds occurring at the top of the tropsophere.

Your answer:


Doldrums

Horse Latitudes

Jet Streams

Trade Winds

Answers

Answer:

jet streams

Explanation:

THE JET STREAM Narrow bands of exceedingly high speed winds are known to exist in the higher levels of the atmosphere at altitudes ranging from 20,000 to 40,000 feet or more. They are known as jet streams.

Hep balance equation

Answers

Answer:

4, 3, 1, 12

It balances now

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