Seven subtracted from c is less than or equal to 29
2 answers:
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The general form of a quadratic (second degree) equation is
, where
is called the Discriminant.
The Discriminant determines how many roots the equation will have as follows:
i) if D>0, the equation has 2 roots.
ii) if D=0, the equation has 1 double root.
iii) if D<0, the equation has no roots.
In our equation,
, a=1, b=-5, c=7
so the discriminant is D=(-5)^2-4*1*7=25-28<0
Thus the equation has no roots.
Remark: the equation has no roots in the Real numbers, but it has 2 roots in a larger set of numbers to be discussed in the future, the Complex numbers.
The Discriminant determines how many roots the equation will have as follows:
i) if D>0, the equation has 2 roots.
ii) if D=0, the equation has 1 double root.
iii) if D<0, the equation has no roots.
In our equation,
so the discriminant is D=(-5)^2-4*1*7=25-28<0
Thus the equation has no roots.
Remark: the equation has no roots in the Real numbers, but it has 2 roots in a larger set of numbers to be discussed in the future, the Complex numbers.
Answer:
and
Step-by-step explanation:
We have been given that about 75,000 people visit Paris, France. We are asked to write two equivalent expressions that could be used to find the number of people that visits over a 5- day period .
To find the number of people over a 5-day period, we will multiply 75,000 people by 5 as:
Commutative property of multiplication states that we can multiply numbers in any order.
Upon switching the order while multiplying, we will get:
Therefore, our required equivalent expressions would be and
.