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3 years ago

Subtracting polynomials

Mathematics

1 answer:

kumpel [21]3 years ago

5 0

Answer:

The third side of the triangle is 10x + 3

Step-by-step explanation:

x + 1 + 2x + 4 = 3x + 5

( 13x + 8 ) - ( 3x + 5 ) = 13x + 8 - 3x - 5

= 10x + 3

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A farmer owns a total of 10 acres of land. The land is separated into 43 equally sized sections. How many acres are in each sect

Pepsi [2]

Answer:

$\frac{10}{43}$ acres

Step-by-step explanation:

Divide 10 by 43:

10/43

In simplest form as a fraction, this is $\frac{10}{43}$

So, each section would have $\frac{10}{43}$ acres

4 0

3 years ago

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Kate made a box to hold her jewelry collection. She used 42 inches of wood to build the sides of the box. If the box was 9 Inche

antoniya [11.8K]

We can use the 9 inches wide to determine that 18 inches of the 42 inches are the wide sides. 42 - 18 = 24, so we divide 24 by how many long sides there are, 2. 24 ÷ 2 = 12. The box was 12 inches long.

3 0

4 years ago

Given the sequence below, and that sequence has a domain of n 2 1, find the fifth

solmaris [256]

The fifth term of f(n) = n² - 3 is 22

$\texttt{ }$

<h3>Further explanation</h3>

Firstly , let us learn about types of sequence in mathematics.

Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.

$\boxed{T_n = a + (n-1)d}$

$\boxed{S_n = \frac{1}{2}n ( 2a + (n-1)d )}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>d = common difference between adjacent numbers</em>

$\texttt{ }$

Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.

$\boxed{T_n = a ~ r^{n-1}}$

$\boxed{S_n = \frac{a( 1 - r^n ) }{1 - r}}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>r = common ratio between adjacent numbers</em>

Let us now tackle the problem!

$\texttt{ }$

<u>Given:</u>

f(n) = n² - 3

<u>Asked:</u>

f(5) = ?

<u>Solution:</u>

$\texttt{for } n \geq 1 :$

$f(n) = n^2 - 3$

$f(5) = 5^2 - 3$

$f(5) = 25 - 3$

$f(5) = \boxed{22}$

$\texttt{ }$

<h3>Learn more</h3>

Geometric Series : brainly.com/question/4520950
Arithmetic Progression : brainly.com/question/2966265
Geometric Sequence : brainly.com/question/2166405

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic and Geometric Series

Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term

7 0

4 years ago

What is the area, in square centimeters, of a circle that is 8 centimeters

Shalnov [3]

Answer: 8=201.06

4=50.27

Step-by-step explanation: What I mean by this is that if the radius (the distance from the center of the circle to the edge of the circle ) is 8 then the area of the circle is 201.06 and if the radius of the circle is 4 then the area of the circle is 50.27

5 0

3 years ago

Help please I'm crying over this problem I'm so cnfused

Lady bird [3.3K]

Answer:

Step-by-step explanation:

Since we start with 10,080 gallons after 0 minutes pass, we see the next point. Luckily, we are given an exact point of a number between 10,080 and 8640. The difference of those two numbers is 1440, and divide that by 2 to get 720. So we drain 720 per hour. HOWEVER, it says "minutes", so we divide 720 by 60 (hour -> minutes) to get 12.

*The reason I divided by 2 was to get the number of gallons after 1 hour passes*

3 0

3 years ago

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