Um.. Both of those equations are the exact same. Divide both sides of the first equation by 6. You get:

That is the exact same as the second equation. This system has an infinite number of solutions. 5x - 7y = -1 is a line, so basically every point on that line is a solution to the system.
For example,

and

would work, but so would

and
Answer:






Step-by-step explanation:
For each toss, there are only two possible outcomes. Either it is tails, or it is not. The probability of a toss resulting in tails is independent of any other toss, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
Fair coin:
Equally as likely to be heads or tails, so 
5 tosses:
This means that 
Probability distribution:
Probability of each outcome, so:







Answer:
The function
is represented by
.
Step-by-step explanation:
Statement indicates that atmospheric pressure decreases exponentially when height above sea level is increased. This fact is represented by the following model:
(Eq. 1)
Where:
- Atmospheric pressure at sea level, measured in kilopascals.
-Atmospheric pressure decrease rate, dimensionless.
- Height above sea level, measured in kilometers.
- Current pressure, measured in kilopascals.
If we know that
and
, the function
is represented by:

The answer is 180 degrees