Answer:
4x - 2
Step-by-step explanation:
(2(3x-2))+(-2(x-1))
2(3x-2)-2(x-1)
2(3x-2-(x-1))
2(3x-2-<u>x</u><u>+</u><u>1</u><u>)</u>
<u>2</u><u>(</u><u>2x-1</u><u>)</u>
<u>4x-2</u>
<u>1/2 value</u><u> can be used as the </u><u>common ratio</u><u> in an explicit formula that represents </u><u>the sequence.</u>
Definition of sequence -
- The following of one thing after another; succession. order of succession: a list of books in alphabetical sequence.
- A continuous or connected series: a sonnet sequence. something that follows; a subsequent event; result; consequence.
A sequence that progresses geometrically has the first term as 12.
Each number is the previous number divided by 2.
so the sequence will be 12, 6, 3, 1.5...........
Explicit formula of a geometric sequence is given by
Where 
= nth term of the sequence
a = first term
r = common ratio
and n = number of term
In this sequence common ratio = 
= 6/12
= 1/2
Therefore, common ratio will be 1/2.
Learn more about sequence
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A(1, 1), B(7, 1), C(1, 9)
AB = 7 - 1 = 6
AC = 9 - 1 = 8
Use the Pythagorean theorem:
AB² + AC² = BC²
Substitute:
BC² = 6² + 8²
BC² = 36 + 64
BC² = 100 → BC = √100 → BC = 10
The perimeter of ΔABC:
P = 6 + 8 + 10 = 24
<h3>Answer: 24 units</h3>
To clear the fractions we multiply both sides by the least common multiple of all the denominators.
1/2 x + 2/3 = 4
Denominators 2 and 3, so multiply both sides by [Answer]: 6
3/4 x + 1 = 5/6
Denoms 4 and 6, LCM=12 Answer: 12
6/7 x - 2/3 = 5/21
LCM(7,3,21)=21 Answer: 21
3/5 + x/2 = 9
LCM(5,2) Answer: 10
25/4 = 6 + 1/2 x
LCM(4,2) Answer: 4
Answer:
w= 23/12
Step-by-step explanation:
1. Multiply the numbers.
23=9w-1*8/3+5w-1*7/6
23=9w-8/3+5w-1*7/6
2. Subtract the numbers.
23=9w-8/3+5w-7/6
23=9w-23/6+5w
3. Combine Like terms
23=9w-23/6+5w
23=14w-23/6
4. Add 23/6 to both sides of the equation.
23+23/6=14w-23/6=26/6
5. Simplify
161/6=14w
6. Divide both sides of the equation by the same term.
161/6=14w
161/6/14=14w/14
7. Simplify
w=23/12
