Subtract 5 to both sides so that the equation becomes -2x^2 + 6x - 1 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -6 ± √((6)^2 - 4(-2)(-1)) ] / ( 2(-2) )
x = [-6 ± √(36 - (8) ) ] / ( -4 )
x = [-6 ± √(28) ] / (-4)
x = [-6 ± 2*sqrt(7) ] / (-4 )
x =3/2 ± -sqrt(7)/ 2
The answers are 3/2 + sqrt(7)/2 and 3/2 - sqrt(7)/2.
15minutes / 2miles = 7.5 minutes to run a single mile.
7.5minutes * 5miles = 37.5minutes
37.5minutes to run 5 miles
Answer:
A. $2,000
Step-by-step explanation:
Let x represent Caitlin's monthly income and y represent Tim's monthly income.
We have been given that Caitlin has a car payment of $300 per month, which is 10% of her monthly income.
We can represent this information in an equation as:
Therefore, Caitlin's monthly income would be $3000.
We are also told that after Caitlin is married to Tim, her car payment will only be 6% of their combined monthly income.
This means that 6% of x plus y is equal to 300.
Therefore, Tim's monthly income is $2,000 and option A is the correct choice.
Answer:
A. What happens on one trial affects the probability on the next: they are dependent events.
Step-by-step explanation:
Below are some important characteristic of a binomial experiment:-
- A binomial experiment has n trials.
- Each trials has two possible outcomes. Success or failure.
- The probability of success is same in very trail.
- The event is independent event. In other words, the probability of one event doesn't effect the other.
- The coefficient of the binomial term can be determined using Pascal’s triangle
Basis these characteristics, only the first option is not a properties of a binomial experiment. In case of binomial experiment, the event is independent event.
Hence, option A is correct.
