Identify the vertex of the function, F(x) =3(x-1)2 + 5.
1 answer:
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Answer: The quotient is (x-2).
Step-by-step explanation:
Since we have given that
Now, we have to find the quotient of the above expression.
So, here we go:
Now, we will divide the above simplest form with g(x):
Hence, the quotient is (x-2).
Answer:
Carla has been running 7 miles each day for 13 days.
Step-by-step explanation:
Carla ran 3 miles on her first day, 5 miles on her second day and then 7 miles each day onward.
Let the number of days she ran 7 miles each day = x
Total distance run by Carla = 3 + 5 + 7(x)
= 8 + 7x
If her log book shows that she has run total distance = 99 miles
Equation representing her total run will be,
8 + 7x = 99
7x = 99 - 8
7x = 91
x =
x = 13 days
Therefore, Carla has been running 7 miles each day for 13 days.
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: