Find an equivalent system of equations for the following system:
2x + 4y = 4
-5x + 5y = 5
A.2x + 4y = 4
-3x - y = -1
B.2x + 4y = 4
7x + 5y = -1
C.2x + 4y = 4
7x - y = 5
D.2x + 4y = 4
7x - y = -1
Answers
Answer:
[tex]\large\boxed{D.\ \left\{\begin{array}{ccc}2x+4y=4\\7x-y=-1\end{array}\right}[/tex]
Explanation:
[tex]\left\{\begin{array}{ccc}2x+4y=4\\-5x+5y=5&\text{change the signs}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+4y=4&(1)\\5x-5y=-5\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad7x-y=-1\qquad(2)\\\\\text{The equivalent system of equations: use (1) and (2)}\\\\\left\{\begin{array}{ccc}2x+4y=4\\7x-y=-1\end{array}\right[/tex]
Answer:
A.2x + 4y = 4
-3x - y = -1
D.2x + 4y = 4
7x - y = -1
Explanation:
Given system of equations,
2x + 4y = 4 ------(1)
-5x + 5y = 5 -----(2)
x-intercept and y-intercepts of equation (1) are (2, 0) and (0, 1)
While, x-intercepts and y-intercepts of equation (2) are (-1, 0) and (0, 1)
Thus, by plotting these lines on the graph,
We get,
The intersection point of line (1) and (2) is ( 0, 1)
That is, the solution would be (0, 1),
Similarly,
Graphing -3x - y = -1, 7x + 5y = -1, 7x - y = 5 and 7x - y = -1,
We get,
A. The solution of 2x + 4y = 4, -3x - y = -1 is ( 0, 1 )
B. The solution of 2x + 4y = 4, 7x + 5y = -1 is ( -1.333, -1.667 )
C. The solution of 2x + 4y = 4, 7x - y = 5 is ( 0.8, 0.6)
D. The solution of 2x + 4y = 4, -7x - y = -1 is ( 0, 1 )
Related Questions
What is the water cycle
Answers
Answer:
the cycle of processes by which water circulates between the earth's oceans, atmosphere, and land, involving precipitation as rain and snow, drainage in streams and rivers, and return to the atmosphere by evaporation and transpiration.
Compare and contrast what happens in mitosis and meiosis.
Mitosis is important for growth and repair, while meiosis occurs in cells involved in sexual reproduction.
Mitosis is important for reproductive cells, while meiosis is needed for growth and repair of body cells.
Mitosis is a process that results in genetically different daughter cells, while meiosis is a process that results in identical daughter cells.
Mitosis is a process that requires two cell divisions, while meiosis is a process that requires one cell division and results in identical daughter cells.
Answers
Answer: The first one would be the correct answer
Explanation: Mitosis is important for growth ans repair, while meiosis occurs in cells involved in sexual reproduction. Why, because, mitosis, which produces genetically identical cells, is the basis of growth, tissue repair and asexual reproduction. The other form of division of the genetic material is called meiosis. Meiosis is a process that shares mechanisms with mitosis, but it should not be confused with it, since meiosis is typical of the cell division of gametes. It produces genetically distinct cells and, is the basis of sexual reproduction and genetic variability.
The statement 'mitosis is important for growth and repair, while meiosis occurs in cells involved in sexual reproduction' is CORRECT.
Mitosis is a type of cell division by which a parent cell generates two genetically identical daughter cells.
This type of cell division (mitosis) is fundamental for tissue growth and repair.
Moreover, meiosis is a type of reductional cell division that produces four cells with half of the chromosomes as the original parent cell.
Somatic cells divide by mitosis, whereas germline (gametic) reproductive cells divide by meiosis.
In conclusion, the statement 'mitosis is important for growth and repair, while meiosis occurs in cells involved in sexual reproduction' is CORRECT.
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Brianna’s doctors advise her to eat no more than 30 grams of carbohydrates per day for her snacks. Because dietary fiber doesn’t negatively affect blood sugar levels, she doesn’t need to count it toward her carbohydrate total. If Brianna eats two servings of each of these foods, will she fall under her doctor’s recommended limit for her snack? Explain your reasoning.
Answers
Answer:
No, her dietary consumption won’t fall under the recommended limit. Subtracting fiber, there are 11 grams of carbohydrates per serving in the first snack and 5 grams per serving for the second snack. If she eats two servings of each snack, she’ll consume 32 grams of carbohydrates.
Explanation:
The details given are not enough to determine whether Brianna will fall within the advised carbohydrate limit. This requires knowledge of the carbohydrate content of her snack servings. However, it is essential to note that while carbohydrates are the body's primary energy source, they need to be consumed in moderation.
Explanation:The details provided in the question are not sufficient to determine whether Brianna will fall under her doctor's recommended limit for her snack. To arrive at the correct conclusion, you need to know the amount of carbohydrates, not including fiber, in every serving of the snacks Brianna intends to consume. Remember, carbohydrates are essential as they provide energy to the body, particularly through glucose, a simple sugar. However, excess consumption may lead to health issues. Carbohydrates also contain fiber, an insoluble part which Brianna doesn't need to count toward her carbohydrate total. Fiber is beneficial for promoting regular bowel movement, regulating the rate of blood glucose consumption, and for removing excess cholesterol from the body.
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Explain how bones attach to each other and to muscles and how this aids movement
Answers
There are two main connective tissues in our Musculoskeletal system which serve in joining the structures (bones and muscles) together and with each other.
Tendons - The purpose of tendon is to attach the muscles to the bone.Ligaments - The purpose of ligaments is to connect the ends of bones together which form the joints.The movement of body is achieved through help of both muscles and bones. One end of the bone is always fixed which is termed as origin and the other end is move-able which is known as insertion. When a muscle contracts, it exerts a force on the tendon which transfers that force to the bone and as a result the bone is pulled resulting in the desired movement. Ligaments keep the bones intact and also determine the range of motion of the bones.
Answer:
Bones attach to each other by ligaments.
Bones attach to muscle by tendons.
When muscles contract, bones are pulled to produce movement
Explanation:
What is the main goal of sustainable food production?
O
A. To conserve natural resources, protect ecosystems, and defend
wildlife
O
B. To maximize profits while growing enough food for a large
population
O
C. To prioritize the welfare of farm animals above the needs of
humans
O
D. To feed a growing population without harming ecosystems or
public health
Answers
Final answer:
OPTION D.
Sustainable food production aims to nourish the global population in a way that conserves resources, protects ecosystems, and ensures the welfare of humans and the environment.
Explanation:
The main goal of sustainable food production is to feed a growing population without harming ecosystems or public health. This involves a balance of several key aspects: using materials and energy at a level that is sustainable, maximizing local food production, maintaining a supply of clean water for human consumption, and employing agricultural practices that conserve natural resources and protect ecosystems. By focusing on sustainable food systems, we can ensure healthy diets for all, with minimal environmental impact, while also safeguarding socio-economic conditions to allow equitable access to food.
Answer:The main goal of sustainable food production is to feed a growing population without harming ecosystems or public health
Explanation:
I just took the tes
What body system are involved when you sit down to do your homework.
Answers
Answer:
- Integumentary system (your skin touches your clothes and then the chair, protecting your internal organs)
- Muscular system (you need your muscles to flex your legs onto the chair)
- Nervous system (your brain needs to voluntarily tell your muscles to sit down)
- Skeletal system (your muscles need to control your bones to put them on the chair)
The coordination of various body system helps organisms to perform various functions. As in case of doing homework while sitting down, the systems involved are integumentary system, nervous system, muscular system and skeletal system.
What are different body systems?Body systems involved in the coordination of daily activities. This system can be of many types depending upon the type of cell and activity.
There are following body systems:
Skeletal system.Muscular system.Nervous system.Endocrine system.Cardiovascular system.Lymphatic system.Respiratory system.Digestive system.Urinary system.Reproductive system.The system involved in doing homework while sitting are integumentary system to feel the objects, nervous system to remember the material, muscular system for flexing and skeletal system to provide support by bones.
Thus, these were the listed body systems required for the given scenario.
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A cell with a 3.5% solute concentration is __ to a solution with 1.5% solute concentration.
A. hyoptonic
B. isotonic
C. hypertonic
D. saturated
Answers
A cell with a 3.5% solute concentration is hypertonic to a solution with a 1.5% solute concentration because it has a higher solute concentration.
Explanation:A cell with a 3.5% solute concentration is hypertonic to a solution with a 1.5% solute concentration. This term is used in the field of biology to describe the solute concentration of a solution relative to another solution. By definition, a hypertonic solution has a higher solute concentration compared to another solution. In this case, the 3.5% solute concentration inside the cell is higher than the 1.5% solute concentration of the outside solution, making the cell hypertonic to the solution.
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How are breathing and cellular respiration similar?
A: Both require water in order to take place.
B: Both use oxygen and produce carbon dioxide.
C: Both involve breaking down glucose to produce ATP.
D: Both involve using ATP to fuel other chemical reactions.
Answers
Answer:
(B) Both use oxygen and produce carbon dioxide.
Explanation:
breathing as we know we takeon O2 and give out CO2.
In cellular respiration the cells use the O2
we breathe to produce ATP molecules and then give out CO2
HOPE IT HEPLS....
The branch of Earth science that focuses on objects beyond Earth's atmosphere is
A. astronomy.
B. oceanography.
C. geology.
D. meteorology.
Answers
Answer:
A.
Explanation:
because it studies the key word Astro which means astrophysics which is stars good luck
The points of muscle attachment are known as the
Answers
Answer:
Origin and Insertion
Explanation:
The origin is the point of attachment of a muscle that remains relatively fixed during contraction.
The insertion is the point or mode of attachment of a skeletal muscle to the bone or other body part that it moves.
Muscle attachment points are known as the origin and the insertion. The origin is the fixed end attached to a stabilized bone, while the insertion is the movable end which attaches to the bone being pulled. These points of attachment are critical in enabling muscle movements.
Explanation:The points of muscle attachment are known as the origin and the insertion. The origin is the end of the muscle that attaches to a fixed, or stabilized, bone. The insertion is the moveable end of the muscle that attaches to the bone being pulled. These terms are used when discussing skeletal muscles and how they interact with our skeleton to enable movement.
An interesting point to note is that often the name of a muscle can indicate its points of attachment. An example of this is the sternocleidomastoid muscle of the neck, which originates on the sternum (sterno) and clavicle (cleido), and inserts onto the mastoid process of the temporal bone.
Attached muscles are primarily responsible for movements, with the prime mover being the muscle mainly involved in a specific movement, and synergist muscles offering supportive help to the main muscle.
The points of muscle attachment are called origin and insertion. The origin is the end of the muscle attached to a fixed bone, while the insertion is the end of the muscle attached to the bone being pulled. For example, in the forearm flexion movement, the brachioradialis assists the brachialis muscle as a synergist.
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Which unit of geologic time is the oldest?
Answers
Answer:
Precambrian Era
Explanation:
What scientists are credited for the events described in the development of the cell theory
Answers
Answer:
Matthias Schleiden, Theodor Schwann and Rudolf Virchaw.
In some cases, recombinant DNA must be cloned before it can be inserted into a host. Which vectors can be used to clone recombinant DNA?
Answers
Answer:
Phages and plasmids are the vectors that can be used to clone recombinant DNA.
Explanation:
The vectors that can be used in some cases to clone recombinant DNA are phages and plasmids.
A phage, also called as bacteriophage, in simple terms is a virus which replicates itself and infects within a bacteria.
While plasmid is a tiny molecule within a cell structure which can replicate itself independently and is commonly found in DNA molecules.
rock is classified into three main types by?
Answers
Answer:
Sedimentary, metamorphic, and igneous
Explanation:
Rocks are classified into three groups, sedimentary, metamorphic, and igneous. The differences are how they are formed.
A population of chimpanzees was separated when the forest that they lived in had a section cut down and a town was built. After a long period of time, the chimpanzees came back into contact but were incapable of breeding. Which of the following best describes the process that occurred?
Answers
Answer:
speciation
Explanation:
It is because when the chimpanzees were moved to the new habitat they adopted the characteristics of that are so after a long period they become different from the species in that forest so they are unable to breed with them.
Converting farmland to urban areas through urban development could lead to
which of the following?
Answers
Answer: Without seeing the options I know, that there'll be less land for farming crops
Explanation:
Answer:less land available for growing crops
Explanation:
Prokaryotes are found in
Answers
Answer:
both Domain Archaea and Bacteria .
Explanation:
The DNA in prokaryotic cells is in the cytoplasm. Prokaryotic cells are found in single-celled organisms.
Explain why water is critically important to most facets of human life.
(good answer gets brainlest give description)
Answers
Water is critically important to most facets of human life because it is essential for various cellular processes in our body. Approximately 60-70% of the human body is made up of water. Without water, life would not be able to exist as we know it.
Explanation:Water is critically important to most facets of human life because it is essential for various cellular processes in our body. Approximately 60-70% of the human body is made up of water, including the brain, blood, muscles, and even bones. Water serves as a transportation vehicle, medium for chemical reactions, lubricant/shock absorber, and temperature regulator in our body. Without water, life would not be able to exist as we know it.
Science is the systematic exploration of _______ about everything in the physical universe. _______ caused the end of the nomadic lifestyle of ancient humans. Anthropology and psychology help us organize how humans _______. The _______ is a process often used by scientists to help them solve problems. Before a scientific paper is published, it has to go through a/an _______ process. Biology is the study of _______. For DNA to be passed on to a later generation, an organism must _______.
Answers
Answer:
Explanation:
1.knowledge
2.Agriculture
3.learn
4.scientific method
5.peer review
6.life
7.reproduce
Science is the systematic exploration of knowledge about everything in the physical universe. Agriculture caused the end of the nomadic lifestyle of ancient humans. Anthropology and psychology help us organize how humans learn. The scientific method is a process often used by scientists to help them solve problems. Before a scientific paper is published, it has to go through a/an peer review process. Biology is the study of life. For DNA to be passed on to a later generation, an organism must reproduce.
what are the features of peer review ?Peer review is the process of evaluation of work occur by one or group of people of specific field of expertise and share competences, validate and improve the quality of academic work
It provide credibility and also increase networking within a group of scientific experts.
The purpose of peer review is to assist the writer and provide to achieve excellence in the work and provide opportunity to give us feedback along with constructive criticism.
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Please help ....... thank you in advance
Answers
Answer:
Here's what I get.
Explanation:
Your first problem is to figure out the formula to use.
You have an initial population P₀ that increases each year by 5 %, that is, by a factor of 1.05.
Each year, you multiply the population of the previous year by 1.05.
This gives you a geometric series, for which the general formula is
P = P₀rⁿ
P₀ = 11 500
r = 1.05, the common ratio from one year to the next
n = the number of years from now
The formula for your population is then
P = 11500(1.05)ⁿ
You must create a table with n as the independent variable and P as the dependent value.
I used Excel to create a table showing the population at half-year intervals (see below).
I also created a graph of the population growth.
You are probably aware that this is a completely unrealistic model, because the population cannot exceed the carrying capacity.
Instead, the graph will level off in a logistic growth curve as the population approaches 14 600.
Which describes the F2 generation in Mendel's experiments?
O
A. Three times as many tall plants as short plants
O
B. The same number of tall plants and short plants
O
C. Half as many tall plants as short plants
O
D. Twice as many short plants as tall plants
Answers
Answer:
(A) is correct option.
The statement that describes the F2 generation in Mendel's experiments is three times as many tall plants as short plants.
MENDEL'S EXPERIMENT:
Gregor Mendel who is referred to as the father of genetics crossed two parents that are pure breeding for specific traits. The F1 generation consists of offsprings that are all dominant. The F1 generation was self-crossed to produce F2 offsprings. The offsprings of the F2 generation has 3 dominant (tall) and 1 recessive (short) trait i.e. 3 tall : 1 short. Therefore, the statement that describes the F2 generation in Mendel's experiments is three times as many tall plants as short plants.Learn more at: https://brainly.com/question/3056662?referrer=searchResults
why do sex linked traits follow different patterns of inheritance than other traits
Answers
Answer:
Because the chromosome linked with sex are XX for women and XY for men.
Explanation:
So the boy can only get Y from his father and X from his mother. While girl can get one from the only X of her father and the other from her mother.
Answer:
Males only have X chromosomes
Explanation:
Some organisms in an ecosystem obtain energy and nutrients from plants. These organisms store the energy in their bodies. What happens to the energy in the ecosystem when the organisms die?
Answers
Answer:
The energy gets reused.
Explanation:
Decomposers break down their body and get nutrients. The nutrients then go Into the soil. Those nutrients help feed organisms.
IZ
2. Equilibrium is best defined as a state of
A harmony
B chaos
c balance
CD competition
Answers
Answer:
physical balance
Explanation:
markk brainiest:)
In most settings pharmacy technicians wear
Answers
Answer:a) a formal business suit
B) laboratory coats or scrubs
C) jeans and a dress shirt
D) a shirt, tie, and/or a dress/skirt
Explanation:
What are the end products of the light-dependent reactions that need the presence of light to occur?
Answers
The end products of the light-dependent reactions, which require light to occur, are ATP and NADPH. These molecules are then used to power the light-independent reactions (Calvin Cycle) where glucose is synthesized.
The light-dependent reactions of photosynthesis are the initial phase where light energy is converted into chemical energy. Specifically, these reactions take place in the thylakoid membranes located within the chloroplasts. The primary function of the light-dependent reactions is to produce energy-rich molecules, which are ATP (adenosine triphosphate) and NADPH (nicotinamide adenine dinucleotide phosphate). These molecules are essential to power the subsequent process, known as the light-independent reactions or the Calvin Cycle.
The overall summary of the light-dependent reactions can be represented as:
12 H₂O + 12 NADP⁺ + 18 ADP + 18 [tex]P_i[/tex] + light → 6 O₂ + 12 NADPH + 18 ATP
In essence, water (H₂O) is split in the presence of light, releasing oxygen (O₂), which is a by-product. The main products, ATP and NADPH, are then utilized in the light-independent reactions to synthesize glucose and other carbohydrates from carbon dioxide (CO₂) and water (H₂O).
Which is the SI base unit of mass?
Liter
Kilogram
Meter
Pound
Answers
Answer:
Kilogram
Explanation:
The kilogram is the SI base unit of mass and is equal to the mass of the international prototype of the kilogram
Answer:
Kilogram
Explanation:
Kilogram is used in the International System to measure mass, which is the amount of matter that an object contains. The kilogram was first based up on an object located in france which was a kilogram, and from that every scale and balances were calibrated, the problem was that it was decaying like every element on earth with time, that was created in 1889, and ever since it has been loosing weight because of this decay, it has los 50 micrograms, which is equivalent to a 2 cm hair or an eyelash, now is changing to be correlated to the planck constant, which never changes her or in the universe, this is very important because the SI is meant to be universal, for all the people throughout the time.
which of the following would be an exception for the Fourth Amendment
Answers
Answer:
A simple example of the Fourth Amendment would be the right to protect yourself from unreasonable search and seizure. For example, a police officer does not have the right in your home and/or property without a warrant. Hope this helps...
Explanation:
The decaying plat matter found in bogs results in the production of
Answers
Answer:
Peat
Explanation:
The decaying plant matter that is found in bogs results in the production of peat. It is not fully decayed by either acidic or inorganic environmental conditions, rather present or composed of wet-land plant life. it is rich in carbon dioxide. It is also an important source of fuel.
Answer: carbonic acid
Explanation:
2. The heart is classified as a (n)
Answers
Answer:
Muscle
Explanation:
The heart is classified as a (n) muscle. Most people believe the heart is an organ but, it's not.
Answer:
The correct answer is a muscular organ.
Explanation:
Our heart is considered to be a muscular organ because of the organ is a group of tissues which are together in order to do a specific function. So, our heart has the function of pumping blood throughout our body.