Taking into account the discriminant and quadratic formula:
As Δ> 0 the function has two real roots or solutions.The solutions are x1= 10 and x2= -2.Zeros or solutions of a function
The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.
That is, the zeros represent the roots of the polynomial equation that is obtained by making f(x)=0.
In summary, the roots or zeros of the quadratic function are those values of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.
DiscriminantThe function f(x) = ax² + bx + c
with a, b, c real numbers and a ≠ 0, is a function quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).
The following expression is called discriminant:
Δ= b²- 4×a×c
The discriminant determines the amount of roots or solutions of the function.
Then:
If Δ <0 the function has no real roots and its graph does not intersect the x-axis.If Δ> 0 the function has two real roots and its graph intersects the x-axis at two points.If Δ = 0 the function has a real root and its graph intersects the x-axis at a single point that coincides with its vertex. In this case the function is said to have a double root.Amount of solutions of function (x - 4)² - 28 =8The function (x - 4)² - 28 =8 can be expressed as:
(x - 4)² - 28 -8= 0
(x - 4)² - 36= 0
x²- 8x + 16 - 36= 0
x²- 8x + 16 - 36= 0
x²- 8x - 20= 0
Being:
a= 1b= -8c= -20the amount of solutions are calculated as:
Δ= (-8)²- 4×1×(-20)
Δ= 144
As Δ> 0 the function has two real roots or solutions and its graph intersects the x-axis at two points.
Solutions of a cuadratic functionIn a quadratic function that has the form:
f(x)= ax² + bx + c
the zeros or solutions are calculated by:
[tex]x1,x2=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}[/tex]
Solutions of function (x - 4)² - 28 =8The function (x - 4)² - 28 =8 can be expressed as x²- 8x - 20= 0
Being:
a= 1b= -8c= -20the solutions of the function are calculated as:
[tex]x1=\frac{-(-8)+\sqrt{(-8)^{2}-4x1x(-20) } }{2x1}[/tex]
[tex]x1=\frac{-(-8)+\sqrt{144 } }{2x1}[/tex]
[tex]x1=\frac{8+\sqrt{144 } }{2}[/tex]
[tex]x1=\frac{8+12 }{2}[/tex]
[tex]x1=\frac{20}{2}[/tex]
x1= 10
and
[tex]x2=\frac{-(-8)-\sqrt{(-8)^{2}-4x1x(-20) } }{2x1}[/tex]
[tex]x2=\frac{-(-8)-\sqrt{144 } }{2x1}[/tex]
[tex]x2=\frac{8-\sqrt{144 } }{2}[/tex]
[tex]x2=\frac{8-12}{2}[/tex]
[tex]x2=\frac{-4}{2}[/tex]
x1= -2
Finally, the quadratic function (x - 4)² - 28 =8 has two solutions and the solutions are x1= 10 and x2= -2.
Learn more about the zeros of a quadratic function:
brainly.com/question/14477557
brainly.com/question/842305
brainly.com/question/14477557
If energy can only be converted from one type to another, the energy you observe when the tortilla chip burned must have come from another type. Where do you think the energy you observe when the tortilla chip burned came from? What type of energy was it originally?
When you burned the chip, The original source of energy conversions was chemical energy. Which then converted to light, thermal, sound, and kinetic energy.
Fill in the coefficients that will balance the following reaction:
__C₂H₂+__O2–>__CO2 +__H2O
Explanation:
C3H8 + 5O2 -> 3CO2 + 4H2O
C2H2 + 2.5O2 -> 2CO2 + H2O
Iodine adds to the double bonds in fatty acids (one iodine molecule per double bond). How many double bonds are in a molecule of arachidonic acid (Molar mass
Answer:
To test if a lipid is saturated or unsaturated iodine is added. If the iodine changes from brown to clear the lipid is unsaturated. If the iodine does not change colors the lipid is saturated. To test for the degree of lipid saturation iodine is added to the unsaturated lipid.
Explanation:
When two atoms form a covalent bond they share electrons. What are the electrons of one atom being attracted to in the other atom that allows them to bond?
Answer:
The electrons are attracted to the nuclei of both atoms.
Explanation:
Electrons are attracted to nuclei because nuclei are positively charged and electrons are negatively charged. Opposites attract
Which issue poses the greatest long-term challenge in the development of new nuclear power plants? controlling carbon dioxide emissions storage of radioactive waste controlling fission reactions mining of uranium
The issue which is the greatest long-term challenge in the development of new nuclear power plants is the storage of radioactive waste.
What are nuclear power plants?Nuclear power plants are also known as thermal power station as in this plants heat is generated through the nuclear reactors which in turn produces electricity.
In the nuclear reactors, nuclear fission of radioactive substances takes place, as a result of which high amount of waste of radioactive substances are produced which may harm the other living organism as they produces dangerous rays.
Hence option (B) is correct.
To know more about nuclear waste, visit the below link:
https://brainly.com/question/1572464
Answer:
it's b
Explanation:
other person said so
A student sets up an experiment to determine how much time will elapse before equal samples of water at 20°C become solid if placed in freezers at four different temperatures. Which are the independent and dependent variables in this experiment? A. the starting temperature of the water, and the water containers used B. the starting temperature of the water, and the time it takes the water to freeze C. the various temperatures in the freezers, and the water containers used D. the various temperatures in the freezers, and the time it takes the water to freeze
Answer:
D. the various temperatures in the freezers, and the time it takes water to freeze
Explanation:
The dependent variable is the variable in an experiment that is subject to being tested and put under observation.
The independent variable is the variable that is changed and altered in order to bring certain effect on the dependent variable.
The various temperatures in the freezers is the independent variable that is subject to change and alteration while the time it takes water to freeze is the dependent variable.
Someone help me please!!
Answer: See below
Explanation:
For the first molecule, Al3H, there are:
3 bond pairs and 0 lone pairs on the main atom The total number of electron pairs is 3.So, the hybridization of the molecule will be sp2, and the shape according to VSEPR theory will be a trigonal planarFor the second molecule, CH2F2, there are:
4 bond pairs and 0 lone pair on the central atom. TThere are 4 electron pairs Therefore, the hybridization of the molecule will be sp2, and the shape will be tetrahedralFor the third molecule, PH3, there are
3 bond pairs and 1 lone pair. 4 electron pairs. So, the hybridization of the molecule will be sp3. However, the 4th spot on the molecule will be occupied by a lone pair, so the overall shape will be trigonal pyramidal and not tetrahedralFor the final molecule, O3, there are:
2 bond pairs and 1 lone pairs. The number of electron pairs is 3. Hence, the hybridization of the molecule will be sp2. But due to the 3rd position being taken by a lone pair, and the VSEPR theory assuming that electron pairs will sort themselves to decrease the effects of repulsion, the overall shape will be bent and not linear.In the combustion of methane, 810 kilojoules per mole (16 grams) is released. Compare this with the fission of uranium-235. The fission of uranium-235 releases 107 kilojoules per mole.
How much mass is lost in the fission reaction?
∆m = E/C2 (where c = 3.00 × 108 m/s)
1.189 x 10⁻¹² kg is lost when uranium-235 undergoes fission
In a fission reaction, the nucleus of an atom is broken down into two smaller particles. This is usually seen in heavy and unstable nucleiThe fission of uranium-235 releases 107 kJ/mol
We know that the formula for mass-energy equivalence is
E=mc²
c = 3 x 10⁸ m/s
107000 J= m x (3 x 10⁸ m/s)²
107000 = m x 9 x 10¹⁶
m = 1.189 x 10⁻¹² kg
In the fission of 1 mole of uranium, 1.189 x 10⁻¹² kg is lost in the reaction
Learn more about nuclear reactions here:
https://brainly.com/question/25387647
#SPJ10
Answer:
edmentum sample answer
Explanation:
1. If a ball was rolling on a carpet, friction would exert energy
O the same direction the ball is going
O the opposite direction the ball is going
Answer:same direction
Explanation:
How many grams of hydrogen peroxide are needed to produce 90. 0 g of water?
2H202 (1) ► 2H20() + O2(g)
Put the numbers into your calculator to find the answer! 90 x 32, then divide by 18.02 x 2. Estimation can tell me that the answer is 79.9, or 80!
How do isotopes of a givin element similar
When an atom loses electrons it becomes _____.
3. What will you observe (the dependent variable) as a result of that change?
hello people ~
Name two items that are made from coconut fiber
Answer:
Items that are made from coconut fibers are:
Floor mats, brushes, mattresses, etc.
(You can choose from the options)
Explanation:
Hope this helps
Im new to brainly ^^
Answer: Breads and cakes
A car is traveling 76.4 kilometers per hour. What is its speed in miles per minute?
Explanation:
speed
76.4/1.609 kilometres to mile =47.47
1hour to minutes=1×60
=60
speed in miles per minute 47.47mile per minute or mph
How many sodium ions are in 58.5 grams of sodium chloride?
Answer:
NaCl contains 12.046 x 1023 ions.
Explanation:
:p
what is galvanic or voltaic cell?
Answer:
An electrochemical cell that converts the chemical energy of spontaneous redox reactions into electrical energy is known as a galvanic cell or a voltaic cell. Galvanic cell Voltaic cell is an electrochemical cell that makes use of chemical reactions to generate electrical energy....
HOPE THIS HELPS, HAVE A GREAT DAY!!
Explanation:
Answer:
A galvanic cell or voltaic cell, named after the scientists Luigi Galvani and Alessandro Volta, respectively, is an electrochemical cell in which an electric current is generated from spontaneous Oxidation-Reduction reactions.
From internet..hope it helps you:)
Explanation:
Mark me brainliest
10. Summarize the effect of hydrogen bonding on boiling point.
11. Hydrogen fluoride (HF) has a lower boiling point than water, even though fluoride (F) has a greater electronegativity than oxygen (O). Why do you think that is?
Answer:
10. it increases the boiling point because it is a stone bond and will require much energy to break it.
11.So, to boil liquid water, all hydrogen bonds have to be broken and it requires a large amount of energy. This isn't the case in HF; all hydrogen bonds need not to be broken, and therefore a lesser amount of energy is required. So HF boils at a much lower temperature as compared to water even though F has high electronegativity but the force of attraction or the intermolecular is is weak
After a day at the beach, bodysurfing and hunting for shark teeth, your parent’s yell that it is time to leave. You grab your sandals and towel and run towards the parking lot. Thirty seconds later you feel like you are walking on hot coals. Explain the sudden change
Answer:
There was a change in temperature on the surface you were walking on. It is possible that "you" were walking on cool, wet sand and when your parents said it was time to leave, you ran barefoot towards the parking lot (away from the sand) and got a burning coal sensation on your feet.
Explanation:
In what ways will the addition of earth worms most likely affect the terrarium?
Answer: The soil biota benefits soil productivity and contributes to the sustainable function of all ecosystems. The cycling of nutrients is a critical function that is essential to life on earth. Earthworms (EWs) are a major component of soil fauna communities in most ecosystems and comprise a large proportion of macrofauna biomass. Their activity is beneficial because it can enhance soil nutrient cycling through the rapid incorporation of detritus into mineral soils. In addition to this mixing effect, mucus production associated with water excretion in earthworm guts also enhances the activity of other beneficial soil microorganisms. This is followed by the production of organic matter. So, in the short term, a more significant effect is the concentration of large quantities of nutrients (N, P, K, and Ca) that are easily assimilable by plants in fresh cast depositions. In addition, earthworms seem to accelerate the mineralization as well as the turnover of soil organic matter. Earthworms are known also to increase nitrogen mineralization, through direct and indirect effects on the microbial community. The increased transfer of organic C and N into soil aggregates indicates the potential for earthworms to facilitate soil organic matter stabilization and accumulation in agricultural systems, and that their influence depends greatly on differences in land management practices. This paper summarises information on published data on the described subjects.
Explanation: Protection of the soil habitat is the first step towards sustainable management of its biological properties that determine long-term quality and productivity. It is generally accepted that soil biota benefits soil productivity but very little is known about the organisms that live in the soil and the functioning of the soil ecosystem. The role of earthworms (EWs) in soil fertility is known since 1881, when Darwin (1809–1882) published his last scientific book entitled “The formation of vegetable mould through the action of worms with observations on their habits.’’ Since then, several studies have been undertaken to highlight the soil organisms contribution to the sustainable function of all ecosystems [1]. Soil macrofauna, such as EWs, modify the soil and litter environment indirectly by the accumulation of their biogenic structures (casts, pellets, galleries, etc.) (Table 1). The cycling of nutrients is a critical ecosystem function that is essential to life on earth. Studies in the recent years have shown increasing interest in the development of productive farming systems with a high efficiency of internal resource use and thus lower input requirement and cost [2, 3]. At present, there is increasing evidence that soil macroinvertebrates play a key role in SOM transformations and nutrient dynamics at different spatial and temporal scales through perturbation and the production of biogenic structures for the improvement of soil fertility and land productivity [4, 5]. EWs are a major component of soil fauna communities in most natural ecosystems of the humid tropics and comprise a large proportion of macrofauna biomass [6]. In cultivated tropical soils, where organic matter is frequently related to fertility and productivity, the communities of invertebrates—especially EWs—could play an important role in (SOM) dynamics by the regulation of the mineralization and humification processes [7–9]. The effects of EWs on soil biological processes and fertility level differ in ecological categories [12]. Anecic species build permanent burrows into the deep mineral layers of the soil; they drag organic matter from the soil surface into their burrows for food. Endogeic species live exclusively and build extensive nonpermanent burrows in the upper mineral layer of soil, mainly ingested mineral soil matter, and are known as “ecological engineers,’’ or “ecosystem engineers.’’ They produce physical structures through which they can modify the availability or accessibility of a resource for other organisms [13]. Epigeic species live on the soil surface, form no permanent burrows, and mainly ingest litter and humus, as well as on decaying organic matter, and do not mix organic and inorganic matter [14]. In the majority of habitats and ecosystems (Table 2), it is usually a combination of these ecological categories which together or individually are responsible for maintaining the fertility of soils [15–17]. EWs influence the supply of nutrients through their tissues but largely through their burrowing activities; they produce aggregates and pores (i.e., biostructures) in the
How much heat is needed to raise the temperature of 50 g of a substance by 15°C when the specific heat is 0.92 J/g-°C?
A.) 65 J
B.) 250 J
C.) 345 J
D.) 690 J
Answer:
690j
Explanation:
Use the formula
q
=
m
C
Δ
T
q = heat absorbed or released, in joules (J)
m = mass
C = specific heat capacity
ΔT = change in temperature
Plug known values into the formula.
q
=
50
(
.92
)
(
15
)
q
=
690
therefore, 690 joules of heat energy are needed.
Alcohol is removed by the _________ blank at a constant rate of 0.25 to 0.30 ounce of ethanol per hour
Answer:
Liver
Explanation:
Some of these intermediate metabolites can have harmful effects on the body. Most of the ethanol in the body is broken down in the liver by an enzyme called alcohol dehydrogenase (ADH), which transforms ethanol into a toxic compound called acetaldehyde (CH3CHO), a known carcinogen.
Find the molecular mass of NH4Cl
Full explanation
Answer:
Explanation:
1 * N = 14
3 * H = 3
Cl = 35.5
Total 52.5
Answer:
Ammonium chloride is the correct answer
given a mixture of aluminium chloride,zinc carbonate and barium nitrate briefly explain how you can obtain a pure sample of each
Answer:
electrolysis or iron extraction in the trunk furnace
Stoichiometry Stumper
You are a forensic scientist. You are investigating a murder involving poison. The victim was poisoned with a compound called di-chloro benzene whose formula is C6H4Cl2. Autopsy results show that the victim’s body contained about 31 g of the poison, but the actual amount could have been slightly higher due to tissue absorption. The main suspect is his wife, Suzanne, who works as a chemistry professor at the local university. Records show that she purchased 15 g of benzene (C6H6) two days before the murder. Benzene is one of the compounds used to make the poison, but she claims she was using it to make ethyl benzene (C6H5CH3), an innocuous compound, for use in her lab. She shows you the bottle of ethyl benzene she claims to have made. It contains 25 grams of ethyl benzene.
Is she telling the truth or did she have more nefarious motives? If you can show that it is possible to produce 25 g of ethyl benzene from 15 grams of benzene, then she was telling the truth. Otherwise, you will have caught her in a lie, which makes it likely she killed her husband with the poison. After extensive research in the literature, you find the two reactions related to this case. Show all work.
From the calculation, Suzanne is lying and she is guilty of killing her husband.
What is stoichiometry?Stoichiometry provides a means of calculating the relationship between mass and mole or mole and volume in a reaction.
Now the preparation of ethylbenzene goes according to the reaction;
C6H6 + C2H6 ---->C6H5C2H5 + H2
Number of moles of benzene = 15 g/78 g/mol = 0.192 moles
Number of moles of ethyl benzene= 25 g/106 g/mol = 0.236 moles
Since the reaction is 1:1, 0.192 moles of ethyl benzene is produced.
Mass of 0.192 moles of ethylbenzene = 0.192 moles * 106 g/mol = 20.4 g
Suzanne is lying.
Learn more about stoichiometry: https://brainly.com/question/974398
¿Qué tipo de Inter conversión existe en una celda galvánica o en una celda electrolítica? a) de energía química a energía eléctrica y viceversa b) de energía eléctrica a energía química c) de energía química a energía eléctrica d) de energía lumínica a energía eléctrica
Answer:
Opción a)
Explanation:
En este caso, vamos a explicartelo descartando opciones. Para empezar el proceso que existe en una celda galvánica o electrolítica, es lo que uno llama un proceso de Electroquímica, y permite manipular y usar la energía electrica para generar una reacción.
En este caso, yo tengo por ejemplo una celda galvánica con dos componentes como hierro y cobre conectados mediante una celda. El proceso de reacción entre ellos es lo que ayudará a que se genere energia electrica y esto, encendería un bombillo de luz. También puede ocurrir lo contrario. Con electricidad, se genera una reacción química. En estos casos, se genera una reacción de tipo REDOX (Oxido reducción).
Tomando en cuenta esto, la respuesta correcta sería la opción a). Veamos por que las otras opciones no son:
b) Energía eléctrica a química
Esta opción es falsa, porque estaría supeditando que una reacción solo puede darse por medio de una manipulación de la energía electrica y en las celdas galvánicas no ocurre eso, sino al revés.
c) Energía química a eléctrica
Falsa, porque es igual que la anterior, solo está supeditado a que ocurra este tipo de reacciones y no es así.
d) energía lumínica a eléctrica
Falso porque la energía lumínica proviene tambien de la electricidad, y en el caso de una celda galvánica se genera una reacción por lo que existe otro tipo de energía.
Espero esto te ayude.
Which of the following is not a benefit of using a scientific model?
А Models allow you to formulate hypotheses about processes.
B Models allow you to study processes that cannot be duplicated.
C Models are often simplified to help explain complex concepts.
D Models make it possible to duplicate the real thing.
Answer:
Benifits of scientific modeling
Explanation:
When students are engaged in scientific modeling, they are able to notice patterns and develop and revise representations that become useful models to predict and explain--making their own scientific knowledge stronger, helping them to think critically, and helping them know more about the nature of science.
What is a vapor?
A. A substance that forms a gas, but only at very high temperatures
OB. A substance that is always in the solid or liquid phase at room
temperature
C. A substance that has a much higher melting point and boiling
point than other similar substances
D. A substance that is in the gas phase at a temperature at which it
would normally be a solid or liquid
According to the research, a vapor is a substance that is in the gas phase at a temperature at which it would normally be a solid or liquid.
What is a vapor?It is the state in which a gas is found when it is at a level below its critical point.
A vapor is the result of heating an element that, at room temperature, is usually a solid or liquid.
Therefore, we can conclude that according to the research, a vapor is a substance that is in the gas phase at a temperature at which it would normally be a solid or liquid.
Learn more about a vapor here: https://brainly.com/question/1697813
#SPJ1
Two blocks of platinum have a temperature of 200°C. One block has a mass of 10 g, the other block has a mass of 100 g. Do the blocks have the same amount of thermal energy? Explain.
The two blocks have the same amount of thermal energy.
Effect of temperature on different mass objectsDue to platinum metal, the thermal energy is equally distributed in the whole metal so that's equal distribution the thermal energy of both blocks will be the same so we can conclude that the two blocks have the same amount of thermal energy.
Learn more about mass here: https://brainly.com/question/15476873
SCIENCE ANSWER THIS IF YOUR IN 5TH GRADE K12
Answer: moon earth
Explanation: because the earth is rocky and has mountains so does the moon. Hope this helps!
Answer:
The Earth should be the answer.