Solving by factoring.
6x^2 - 21 - 33 = 0
6x^2 - 55 = 0
x^2 - 9 = 0
(x-3)(x+3) = 0
x - 3 = 0
x + 3 = 0
x1 = -3
x2 = 3
Step-by-step explanation:
Oliver deposits P= $1,000
Then total amount A after n months given that the balance increases by %15 each month can be calculated as

Assuming the increase in amount is compounded monthly.
The equation of the hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0) is 
<h3>How to determine the equation of the hyperbola?</h3>
The given parameters are:
- Directrices at x = ±2
- Foci at (5, 0) and (−5, 0)
The foci of a hyperbola are represented as:
Foci = (k ± c, h)
The center is:
Center = (h,k)
And the directrix is:
Directrix, x = h ± a²/c
By comparison, we have:
k ± c = ±5
h = 0
h ± a²/c = ±2
Substitute h = 0 in h ± a²/c = ±2
0 ± a²/c = ±2
This gives
a²/c = 2
Multiply both sides by c
a² = 2c
k ± c = ±5 means that:
k ± c = 0 ± 5
By comparison, we have:
k = 0 and c = 5
Substitute c = 5 in a² = 2c
a² = 2 * 5
a² = 10
Next, we calculate b using:
b² = c² - a²
This gives
b² = 5² - 10
Evaluate
b² = 15
The hyperbola is represented as:

So, we have:

Evaluate

Hence, the equation of the hyperbola is 
Read more about hyperbola at:
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-77 PEMDAS is the process you would use and you would have to do the associative property with-(3--4)
Answer:
exact form 3/2 decimal form 1.5 mixed number form 1 1/2
Step-by-step explanation: