<span>CD's must be 40 or below, so CD's total≤ 40
If you already have 27, than 27+(number of CDs bought)</span><span>≤ 40
27+x=40(max)
x=(40-27)
x=13 CDs can be bought, at maximum
so (CDs purchased)</span><span> ≤ 13
Therefore, 15 CDs would be too many to fit in the rack </span>
Answer:
(2x+3)(x+1)
Step-by-step explanation:
6x² + 2x + 9x +3
(6x² + 2x) + (9x +3)
2x (x+1) + 3 (x+1)
(2x+3)(x+1)
Answer:
The ball traveled 116.25 m when it hit the ground for the fifth term
Step-by-step explanation:
This is a geometric progression exercise and what we are asked to look for is the sum of a GP.
The ball was dropped from a height of 60 m. This means that the initial height of the ball is 60 m.
First value, a = 60
Each time it hit the ground, it bounced up 1/2 (half) of the height that it dropped.
This is the common ratio, r = 1/2 = 0.5
The number of terms it hits the ground is the number of terms in the GP.
number of terms, n = 5
The distance traveled by the ball when it hit the ground for the fifth term will be modeled by the equation:

we are given

Since, we have to find inverse of this function
step-1: we set f(x)=y

step-2: switch x and y

step-3: Solve for y

now, we can use quadratic formula


or
..............Answer