Answer:
45
Step-by-step explanation:
The n th term of a GP is
= a
where a is the first term and r the common ratio
Given a₂ = 6 and a₅ = 48, then
ar = 6 → (1)
a
= 48 → (2)
Divide (2) by (1)
= 
, that is
r³ = 8 ( take the cube root of both sides )
r = ![\sqrt[3]{8}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B8%7D)
= 2
Substitute r = 2 into (1)
2a = 6 ( divide both sides by 2 )
a = 3
Thus
3, 6, 12, 24 ← are the first 4 terms
3 + 6 + 12 + 24 = 45 ← sum of first 4 terms
The percent decrease in the music revenue is 60.2%
<h3>How to calculate the percent decrease ?</h3>
Percent decrease can be described as the reduction in the value of a number.
In 1999, the revenue of the company was $14.1 billion
In 2014, the revenue of the company was $5.6 billion
The percent decrease can be calculated as follows
= 14.1 - 5.6/14.1 × 100
= 8.5/14.1 × 100
= 0.602 × 100
= 60.2 %
Hence the percent decrease is 60.2%
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Isolate the x. Subtract 3x from both sides, and add 4 to both sides
-2x (-3x) - 4 (+4) < 3x (-3x) + 21 (+4)
-2x - 3x < 21 + 4
Simplify. Combine like terms
-5x < 25
Isolate the x. Divide -5 from both sides (remember to flip the sign).
-5x/-5 < 25/-5
x > 25/-5
x > -5
x > -5 is your answer
hope this helps
Given
Divide it by (x+1) using synthetic division, as shown below
The green line is a minus sign.
Thus,
Therefore, since the remainder is different than zero, (x+1) is not a factor of 4x^2+2x-5
