MATHEMATICS HIGH SCHOOL

Greatest common factor of 22 and 48

Answers

Answer 1
Answer:

The Greatest common factor of the number 22 and the number 48 is 2.

Given numbers:

22 and 48.

First, the factors of 22 are:

22 = 1, 2, 11 and 22

and, the factor of 48 are:

48 = 2, 3, 4, 6, 8, 12, 16, 24 and 48

Now, the common factors of 22 and 48 are: 1 and 2.

Therefore, the Greatest common factor of 22 and 48 is 2.

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Answer 2
Answer: 22|2
11|11
1

48|2
24|2
12|2
6|2
3|3
1

GCF(22,48)=2

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I need the answer as a radical :) u dont have to show work
System of equations, 3x - 6y =25x + 4y = 1
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Write a fraction that is a multiple of 4/5.

Simplify completely the quantity 3 times x to the 4th power plus 5 times x to the 2nd power plus 2 times x all over x.the quantity 3 times x to the third power plus 5 times x plus 2 all over x
3x3 + 5x + 2
3x2 + 5x2 + 2x
3x5 + 5x3 + 2x2

Answers

Answer:

(A) 3x^3+5x+2

Step-by-step explanation:

To Simplify:  The quantity 3 times x to the 4th power plus 5 times x to the 2nd power plus 2 times x all over x.

Solution: The given statement can be easily rewritten as:

The quantity 3 times x to the 4th power=3x^4,

5 times x to the 2nd power=5x^2 and

2 times x =2x

Thus, according to the statement, the expression can be written as:

(3x^4+5x^2+2x)/(x)

⇒3x^3+5x+2

which is the required simplified expression.

Thus,option A is correct.

Answer:

A:    3^3 + 5x + 2/x

Step-by-step explanation:

Which of the following is a necessary reactant for cellular respiration to occur?Carbon dioxide

Nitrogen

Oxygen

Water

Answers

The reactant necessary for cellular respiration to occur is oxygen. Cellular respiration, in a sense, is breaking down sugar in the presence of oxygen. During cellular respiration, sugar is broken down to carbon dioxide and water and ATP is made. ATP is then used for cellular work.
The answer is oxygen and glucose they are both necessary for cellular respiration to occur

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.

Angelica is working on function machines. She has two machines g(x)=square root x-5 and h(x)= x^2-6. she wants to put them in order so that the output of the first machine becomes the input of the second. she wants to use a beginning input of 6.a) in what order must she put the machines to get a final output of 5.
b)is it possible for her to get a final output of -5? if so,show how she could do that. If not explain why not.

PLEASE HELP!

Answers

g(h(x))=√(x^2-6-5)=√(x^2-11)\ng(h(6))=√(6^2-11)=√(36-11)=√(25)=5

a)
h(x) is the input for g(x), so h(x) must be first

b)
It's impossible for g(h(x)=√(x^2-11), because its value is always non-negative for any x. Let's see what about h(g(x)).

h(g(x))=(√(x-5))^2-6=x-5-6=x-11

The result is a non-constant linear function, so its value can be any real number, including -5. You can calculate for what x it's equal to -5.

x-11=-5\nx=6

x-11=-5\nx=6

a) To get a final output of 5 , she must first input 6 into machine h(x) , then the result from machine h(x) is input back to machine g(x).

b) It is possible to get a final output of -5. It could be done by first input 6 into machine g(x) , then the result from machine g(x) is input back to machine h(x).

Further explanation

Function is a relation which each member of the domain is mapped onto exactly one member of the codomain.

There are many types of functions in mathematics such as :

  • Linear Function → f(x) = ax + b
  • Quadratic Function → f(x) = ax² + bx + c
  • Trigonometric Function → f(x) = sin x or f(x) = cos x or f(x) = tan x
  • Logarithmic function → f(x) = ln x
  • Polynomial function → f(x) = axⁿ + bxⁿ⁻¹ + ...

If function f : x → y , then inverse function f⁻¹ : y → x

Let us now tackle the problem!

This problem is about Composition of Functions.

Question a:

Given:

g(x) = √(x - 5)

h(x) = x^2 - 6

( h \circ g )( x ) = h ( g ( x ) )

( h \circ g )( x ) = h ( \sqrt {x - 5} )

( h \circ g )( x ) = (\sqrt {x - 5})^2 - 6

( h \circ g )( x ) = x - 5 - 6

( h \circ g )( x ) = x - 11

( h \circ g )( 6 ) = 6 - 11

\large {\boxed {( h \circ g )( 6 ) = -5 } }

( g \circ h )( x ) = g ( h ( x ) )

( g \circ h )( x ) = g ( x^2 - 6 )

( g \circ h )( x ) = \sqrt {( x^2 - 6 ) - 5 }

( g \circ h )( x ) = \sqrt { x^2 - 11 }

( g \circ h )( 6 ) = \sqrt { 6^2 - 11 }

( g \circ h )( 6 ) = \sqrt { 25 }

\large {\boxed {( g \circ h )( 6 ) = 5 } }

To get a final output of 5 , she must first input 6 into machine h(x) , then the result from machine h(x) is input back to machine g(x).

Question b:

From the results above , it is possible to get a final output of -5.

It could be done by first input 6 into machine g(x) , then the result from machine g(x) is input back to machine h(x).

Learn more

Answer details

Grade: High School

Subject: Mathematics

Chapter: Function

Keywords: Function , Trigonometric , Linear , Quadratic

(m+2)(m+3)=(m+2)(m-2) what is the answer please 

Answers

(m+2)(m+3)=(m+2)(m-2)\n\nm^2+3m+2m+6=m^2-4\n\nm^2-m^2+5m=-4-6\n\n5m=-10\ \ \ \ /:5\n\nm=-2
The first time you look at this, you would think that you can just cancel the
(m+2) off of each side. But then you're left with  (m+3) = (m-2), and there's
no solution for this.  So you have to go back and do it the hard way.

Expand each side of the equation. (Clear the parentheses.)

m² + 5m + 6 = m² - 4

Subtract m² from each side:

5m + 6 = -4

Subtract 6 from each side:

5m = -10

Divide each side by 5:

m = -2

Solve the value of x in the following proportion 6:9=x:72

Answers

So first find out:  How much larger or smaller is the second proportion compared to first?
72 is 8 times bigger than 9,  so the second proportion must be 8 TIMES BIGGER
Now,  multiply 6*8=x
48=x
So in the end,  x is 48.
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