In 1987, 522 comma 000 people worked in the air transportation industry. In 2003, the number was 480 comma 000. (a) Find a li
1 answer:
Answer:
the linear equation is :
y= -2625x+5737875
and 440000 employees will be in year 2271
Step-by-step explanation:
in order to find the linerar equation let us first convert the given data into (x,y ) co-ordinates i.e
x1= 1987 y1= 522,000
and
x2= 2003, y2 = 480000
according to two point form:
In this example we have x1=1987 , y1=522000 , x2=2003 and y2=480000. So,
now to find the year when there will be 440000 employs working , we simply put y= 440000 in the above derived equation
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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.