MATHEMATICS HIGH SCHOOL

Each equation given below describes a parabola. Which statement best compares their graphs? y = -3x2 y= -7x2

A. Both parabolas open downward, and y = -7x2 is wider than y = -3x2.
B. Both parabolas open downward, and y = -3x2 is wider than y = -7x2.
C. Both parabolas open to the left, and y = -3x2 is wider than y = -7x2.
D. Both parabolas open to the left, and y = -7x2 is wider than y = -3x2.

Answers

Answer 1

Answer:

Answer: The correct statement is (B). Both parabolas open downward, and $y=-3x^2$ is wider than $y=-7x^2.$

Step-by-step explanation: The equations of the two parabolas are as follows:

$y=-3x^2~~~~~~~~~~~~~(i)\ny=-7x^2~~~~~~~~~~~~~(ii)$

The standard equation of a parabola is given by

$y=a(x-h)^2+k.$

If a < 0, then the parabola open downwards and if a > 0, then the parabola open upwards.

From equation (i), we have

$y=-3x^2\n\n\Rightarrow y=-3(x-0)^2+0,$

so a = -3 < 0, so the parabola (i) open downwards.

From equation (ii), we have

$y=-7x^2\n\n\Rightarrow y=-7(x-0)^2+0,$

so a = -7 < 0, so the parabola (ii) open upwards.

Also, since -3 > -7, so the parabola (i) is wider than the parabola (ii).

Therefore, both parabolas open downward, and $y=-3x^2$ is wider than $y=-7x^2.$

The graphs of the parabolas are shown in the attached figure.

Thus, (B) is the correct ption.

Answer 2

Answer:

The answer would be B. Both parabolas open downward, and y = -3x2 is wider than y = -7x2.

Related Questions

In Mr. Smith's 7th Hourclass there are 16 boys and7 girls. What is theprobability of randomlyselecting a boy?
The baseball team is ordering hats for the upcoming season. The hat companycharges a certain amount per hat plus an initial fee of $55. There are 14 players on thebaseball team. If there are 14 players on the baseball team and the hat order comes to atotal of $363, how much does each hat cost?
Locate Square Roots Click to select the correct answers. Click again to unselect answers. Leave the incorrect answers unselected. 28 lies between 5 and 6 39 lies between 7 and 8 85 lies between 8 and 9 52 lies between 7 and 8 21 lies between 4 and 5
A market supply schedule showsthe products of two companies onlythe prices and quantity in an entire market.how prices affect a single producer.how prices affect a group of consumers,
1. Use the formula to estimate the temperature when n = 100 chirps/min. Round to the nearest whole number, if necessary.nThe formula F= +37 estimates the temperature F in degrees Fahrenheit4when crickets chirp n times per minute.O 59°F62°F63°F

F(13) = -3x+ 7
What’s the answer?

Answers

Answer:

3.3

Step-by-step explanation:

7-7=0

-3+-7=-10

10 divided by 3 is 3.3

The area of the mojave desert is 25,000 square miles. A scale drawing of the mojave desert has an area of 10 square inches. What is the scale of the map? i need a middle explanation because if not then my teacher will think i cheated and give me an f and my parents will not allow me to fail so could i please get a 7th grade explanation?

Answers

The scale of the map will be: 50 miles = 1 inch or 50 : 1

Explanation

Actual area of the Mojave desert is 25,000 square miles and the scale drawing has an area of 10 square inches.

Suppose, the scale of the map is: $x$ miles = 1 inch

So, 1 square inches = $x^2$ square miles

and 10 square inches = $10x^2$ square miles

So, the equation will be .....

$10x^2=25000\n \n x^2= 2500\n \n x=√(2500)=50$

Thus, the scale of the map will be: 50 miles = 1 inch or 50 : 1

Which expressions are equivalent to 16^x/4^x

Answers

16^1 = 4^2 16•1 = 4•4 16 = 16

Describe the structure of roman law during the republic and explain its impact on the world?

Answers

Answer:

The structure of Roman law during the Republic was characterized by the Twelve Tables, legal procedures emphasizing due process, the development of jurisprudence, and its influence on legal systems globally. Roman law's principles of transparency, fairness, and universal application have had a lasting impact on the world, shaping legal systems and promoting justice and equal rights

Step-by-step explanation:

1. Twelve Tables: The Twelve Tables were a set of laws codified in the 5th century BCE. They established the foundation of Roman law and were publicly displayed to ensure transparency and equal treatment under the law. The Twelve Tables covered various aspects of civil law, such as property rights, contracts, and family law.

2. Legal Procedures: Roman law emphasized legal procedures and due process. It provided individuals with the right to a fair trial and allowed them to present evidence and arguments in their defense. This emphasis on legal procedures contributed to the development of the concept of "innocent until proven guilty" and influenced legal systems around the world.

3. Jurisprudence: Roman law developed a system of legal interpretation and principles known as jurisprudence. Jurisprudence involved the study and application of legal principles derived from previous court decisions and legal writings. This system of jurisprudence laid the foundation for legal reasoning and the development of legal principles that have influenced modern legal systems.

4. Influence on Western Legal Systems: Roman law had a profound impact on the development of legal systems in Europe and beyond. Many principles and concepts of Roman law, such as the distinction between public and private law, the idea of legal rights, and the concept of legal personhood, were incorporated into later legal systems. Roman law formed the basis for civil law systems in many countries, including those in continental Europe and Latin America.

5. Universal Application: One of the most significant contributions of Roman law was its universal application. Roman law aimed to provide legal rights and protections to all individuals, regardless of their social status or origin. This concept of universal application and equal treatment under the law had a lasting impact on legal systems worldwide, promoting the idea of legal equality and justice for all.

In summary, the structure of Roman law during the Republic was characterized by the codification of laws, an emphasis on legal procedures and due process, the development of jurisprudence, and its influence on legal systems globally. Roman law's principles of transparency, fairness, and universal application have had a lasting impact on the world, shaping legal systems and promoting the concepts of justice and equal rights.

Fill in the other coordinate for the line 7x - 5y = 21: (4, )

Answers

7x - 5y = 21....(4,?)...so sub in 4 for x and solve for y
7(4) - 5y = 21
28 - 5y = 21
-5y = 21 - 28
-5y = - 7
y = 7/5

check..
7(4) - 5(7/5) = 21
28 - 35/5 = 21
28 - 7 = 21
21 = 21 (correct)

the other coordinate is 7/5......(4,7/5)

Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. What is the equation that can be used to find the value of y, the total time that Vlad spent on his homework, and what are the constraints on the values of x and y?y=2x+20; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
y=2x+20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.
y=20x+2; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
y=20x +2; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.

Answers

Answer:

The answer is A. y = 2x + 20; x is any integer greater than or equal to, 0 and y is any integer greater than or equal to 20

Step-by-step explanation:

Other Questions

Helpppp meee pleaseeeeewee

A cylinder is 8 inches wide and 10 inches tall. a cone is 10 inches wide and 12 inches tall. which container has more space

A student made a model of a building. The model was 3 feet high and 12 feet wide. The building is 720 feet wide. Which proportion correctly show how to find the height of the building?

A shop is giving 20% discount in a sale. A shirt in the shop normally costs $60. How much does it cost in the sale?