The first term of a geometric series is 3, and the sum of the first term and the second term is 15. What is the sum of the first six terms?

Answers

Answer 1

Answer: Hello,

Ok, i have seen the mistake the answer is 4095.

$u_(1)=3\nu_(2)=?\nu_(1)+u_(2)=15==>u_(2)=15-3=12=4*3$
$u_(1)+u_(2)+...u_(6)=3+3*4^1+3*4^2+...+3*4^5\n=3*(1+4+4^2+4^3+...+4^5)=3*(4^6-1)/(4-1)=3*(4^6-1)/3=4095$

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Which shows one way to determine the factors of 12x3 – 2x2 + 18x – 3 by grouping?2x2(6x – 1) + 3(6x – 1)
2x2(6x – 1) – 3(6x – 1)
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Answers

Hello,
Answer A

12x^3-2x²+18x-3
=2x²(6x-1)+3(6x-1)
=(6x-1)(2x²+3)

The factorization of the given expression by grouping yields(6x-1)(2x²+3).

What is factorization?

Factorization is a way in which the common factors of the terms in an algebraic expression are found. We have the expression 12x^3-2x²+18x-3 in which are to factorize by grouping.

In order to carry out this factorization by grouping we have to perform the following steps;

Identify common factors which are 2x^2 and 3
Apply the common factors to two groups of the portions of the expression as shown;

12x^3-2x²+18x-3

2x²(6x-1)+3(6x-1)

(6x-1)(2x²+3)

Learn more about factorization: brainly.com/question/6810544

A metal washer is made by cutting out a circle 13.2 mm in diameter from a larger circle. To the nearest tenth, what is the area of the washer

Answers

The standard formula of area of the circle is (pi * r^2)
here r is radius.

So the radius of this washer is equal to 6.1 mm (13.2 / 2)
Therefore the area of the washer
pi * 6.1^2
116.9 mm^2

Factorise
5x(squared) + 17x -12
3x(squared) + 10x +7

Answers

5x² + 17x - 12
5x² - 20x + 3x - 12
5x(x) - 5x(4) + 3(x) - 3(4)
5x(x - 4) + 3(x - 4)
(5x + 3)(x - 4)

3x² + 10x + 7
3x² + 3x + 7x + 7
3x(x) + 3x(1) + 7(x) + 7(1)
3x(x + 1) + 7(x + 1)
(3x + 7)(x + 1)

What is 9.2 written as a mixed number simplest form

Answers

2/10 is 1/5 and when you add 9, which is 45/5, you get 46/5.

Answer: 9 1/5

9.2 written as a mixed number in simplest form is 9 1/5.

Two points are shown on the graph. What is the midpoint between these two points?A) (1, 5)
B) (-1, 2)
C) (-2, 1)
D) (-5, -3)

Answers

Answer: C (-2,1)

Step-by-step explanation:

Can you show the graph please

David received $50 dollars for working at his father’s store. He spent $20 dollars at the movies, and $10 dollars buying comic books. After buying $5 worth of candy, he saved the rest. What is the ratio of the amount of money David spent to the amount that David saved?

Answers

Total amount of money received by David for working at his father's store = $50
Amount of money spent by David at the movies = $20
Amount of money spent by David buying comics books = $10
Amount of money spent by David buying candy = $5
Then
Total amount spent by David = (20 + 10 + 5) dollars
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Amount of money saved by David = (50 - 35 ) dollars
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So
The ratio of the amount of money David
spent to the amount of money David saved = 35:15
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So the ratio of the amount of money David spent to the amount of money David saved is 7:3

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