Answer:

Step-by-step explanation:
Vertex form is

We know that h and k are both -4. Let x be -2 and y be -16.





So the equation in vertex form is

Answer: The system will succeed when the first alarm rings or when the first one fails, but the second one rings. The probability of this is 0.98
The probability of system failure is 1-(probability of success)= 1-0.98= 0.02
Step-by-step explanation:
a.
In order to find the common ratio, we just need to divide a term by the term that comes before it.
So using the terms 20 and -5, we have:

b.
The recursive rule can be found with the formula:

Where an is the nth term and q is the ratio. So we have:

c.
The explicit rule can be written as:

Where an is the nth term, a1 is the first term and q is the ratio. So:
Your equation would be 2x - 12 + 3x - 15 = 23
Combine like terms and solve for x