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Eduardwww [97]
3 years ago
8

Find the product and write the answer as a trinomial in standard form (x+2y) (3x-5y)

Mathematics
1 answer:
kodGreya [7K]3 years ago
8 0

Answer:

3x^2 + xy - 10y^2

Step-by-step explanation:

1. Use the FOIL method

3x ^​2  − 5xy + 6yx − 10y ^2

​​2. Collect like terms

3x ^2 ​ + (−5xy + 6xy) − 10y^​2

​​3.  Simplify

3x ^2 ​ + xy − 10y^​2

​​  

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What is 20.30 - 19.70 and what are the solving steps?
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Step-by-step explanation:

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3 years ago
Write an<br> explicit formula for An, the nth term of the sequence 7, -42, 252, ....
erik [133]

Answer:

A_n = 7(-6)^{n-1}

Step-by-step explanation:

<u>Key skills needed: Explicit formula, Geometric sequence</u>

1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.

This can be done by doing -42 ÷ 7   or   252 ÷ -42

-42 ÷ 7 equals -6.

252 ÷ -42 also equals -6.

2) This means that constant is -6.

3) The general form for an explicit formula of a geometric sequence is:

a_n = a_1(r)^{n-1}

--> r means the constant (or common ratio) that is being multiplied.

--> a_1 means the first term

--> a_n means the "nth" numbered term (so a_3 is the 3rd term, a_{10} is the 10th term and so on).

--> n-1 is just the "n" in a_n minus 1.

4) We can use this formula to create an explicit formula for the geometric sequence in the problem.

--> r = -6 (Since we got -6 as the constant/common ratio).

--> a_1  = 7 (Since 7 is the 1st term)

This means that our formula would be --> A_n = 7(-6)^{n-1}

<em>Hope you understood and have a nice day!! :D</em>

8 0
3 years ago
Find the range of the graph
Alex

Answer:

4,-7 = 11

and

6, -9 = 15

3 0
3 years ago
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