Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions
, and identify each equation as an identity, a contradiction, or neither.
A) 6X plus 4X -6 = 24+ 9X
B) 25 - 4X = 15 - 3X +10 - X
C) 4X +8 = 2X +7+ 2X -20
A) 6X plus 4X -6 = 24+ 9X
B) 25 - 4X = 15 - 3X +10 - X
C) 4X +8 = 2X +7+ 2X -20
1 answer:
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Answer:
a₆ = 12
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂ = 5 and a₁₀ = 19 , then
a₁ + d = 5 → (1)
a₁ + 9d = 19 → (2)
Subtract (1) from (2) term by term to eliminate a₁
8d = 14 ( divide both sides by 8 )
d = 1.75
Substitute d = 1.75 into (1)
a₁ + 1.75 = 5 ( subtract 1.75 from both sides )
a₁ = 3.25
Then
a₆ = 3.25 + 5(1.75) = 3.25 + 8.75 = 12
In this question, we have to write the set of points from -6 to 3 but excluding -2 and 3 as a union of intervals .
For union, we use U.
For the points that we have to exclude , we put parenthesis on there side that is ().
Therefore the required interval form is
As we see that () are used with -2 and 3 . And that's the required interval form .