Answer:
one solution
Step-by-step explanation:
Given
3(x - 2) = 22 - x ← distribute parenthesis on left side
3x - 6 = 22 - x ( add x to both sides )
4x - 6 = 22 ( add 6 to both sides )
4x = 28 ( divide both sides by 4 )
x = 7
Answer:
-9A · √(5yA)
Step-by-step explanation:
The coefficient -3 stays the same.
45 factors into 5·9, which is helpful because 9 is a perfect square.
Thus, √45 = 3√5.
y cannot be factored. It stays under the radical.
A³ can be factored into A² (a perfect square) and A.
Thus,
-3√(45yA³) = -3 · 3√5 · √y · A · √A, or
= (-3)(3)(A) · √(5yA), or
= -9A · √(5yA)
The given geometric series as shown in the question is seen to; Be converging with its' sum as 81
<h3>How to identify a converging or diverging series?</h3>
We are given the geometric series;
27 + 18 + 12 + 8 + ...
Now, we see that;
First term; a₀ = 27
Second Term; a₁ = 2(27/3)
Third term; a₂ = 2²(27/3²)
Fourth term; a₃ = 2³(27/3³)
Thus, the formula is;
2ⁿ(27/3ⁿ)
Applying limits at infinity gives;
2^(∞) * (27/3^(∞)) = 0
Since the terms of the series tend to zero, we can affirm that the series converges.
The sum of an infinite converging series is:
S_n = a/(1 - r)
S_n = 27/(1 - (2/3)
S_n = 81
Read more about converging or diverging series at; brainly.com/question/15415793
#SPJ1
Answer:
no
Step-by-step explanation:
18 is not a multiple of 12
and 12 is not a multiple of 8
Answer:
It means less than or equal to
Step-by-step explanation: