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3 years ago

6n2 - 5n2 + 7n2 simplify the expresion and show work

Mathematics

1 answer:

olchik [2.2K]3 years ago

4 0

This is just combining like terms.....
6n2 - 5n2 + 7n2
n2 + 7n2
=8n2

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Exercise 2.4.2: Proving statements about rational numbers with direct proofs. About Prove each of the following statements using

IgorLugansk [536]

Answer:

See Explanation

Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

$A = \frac{1}{2}$

$B = \frac{2}{3}$

The product:

$A * B = \frac{1}{2} * \frac{2}{3}$

$A * B = \frac{1}{1} * \frac{1}{3}$

$A * B = 1 * \frac{1}{3}$

$A * B = \frac{1}{3}$

Proved, because 1/3 is rational

(b) Proof: Quotient of a rational number and a non-zero rational number

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

$A = \frac{1}{2}$

$B = \frac{2}{3}$

The quotient:

$A / B = \frac{1}{2} / \frac{2}{3}$

Express as product

$A / B = \frac{1}{2} / \frac{3}{2}$

$A / B = \frac{1*3}{2*2}$

$A / B = \frac{3}{4}$

Proved, because 3/4 is rational

(c) x + y is rational (missing from the question)

Using direct proofs.

Let x and y be

Such that:

$x = \frac{1}{2}$

$y = \frac{2}{3}$

The sum:

$x + y = \frac{1}{2} + \frac{2}{3}$

Take LCM

$x + y = \frac{3+4}{6}$

$x + y = \frac{7}{6}$

Proved, because 7/6 is rational

<em>The above proof works for all values of A, B, x and y; as long as they are rational values</em>

8 0

3 years ago

amid [387]

Answer:

21.56

Step-by-step explanation:

7 0

2 years ago

Finish this sentence: "To find the surface area of a prism we need to find the _______ of all of the sides and _____ them togeth

ale4655 [162]

Step-by-step explanation:

you need to find the area and add them together

8 0

2 years ago

The table shows the ratio of people who ate a certain type of lunch to the total number of people who ate lunch. A total of 840

Elza [17]

The sum of the individual lunch ate by people is equal to the total number of people who ate lunch.

<h3>What is an equation?</h3>

An equationi is an expression that shows the relationship between two or more variables and number.

Given that the total number of people who ate lunch is 840, hence:

The sum of the individual lunch ate by people is equal to the total number of people who ate lunch.

Find out more on equation at: brainly.com/question/2972832

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6 0

1 year ago

-3x minus 2 minus -6x = -4 minus -4x plus 12

DochEvi [55]

-3x-2-6x=-4-<em>(-4x)</em>+12

-9x-2=-16x+12

7x=14

x=2.

You probably got confused with the italicized part.

6 0

2 years ago