Answer:
The difference of the degrees of the polynomials p (x) and q (x) is 1.
Step-by-step explanation:
A polynomial function is made up of two or more algebraic terms, such as p (x), p (x, y) or p (x, y, z) and so on.
The polynomial’s degree is the highest exponent or power of the variable in the polynomial function.
The polynomials provided are:
The degree of polynomial p (x) is:
The degree of polynomial q (x) is:
The difference of the degrees of the polynomials p (x) and q (x) is:
Thus, the difference of the degrees of the polynomials p (x) and q (x) is 1.
Answer:
The time taken by smaller pipe to fill the tank alone is 74.2 min
Step-by-step explanation:
Given as :
The time taken by two pipes to fill tank = 19 min
Let the time taken by larger pipe to fill tank = y
And the time taken by smaller pipe to fill tank = x
According to question
The smaller pipe takes 49 minutes longer than larger pipe
I.e x = y + 49
Now,
+
=
Or, +
=
Or, =
Or, 2 y + 49 =
Or, 19 × ( 2 y + 49 ) = y² + 49 y
Or, 38 y + 931 = y² + 49 y
Or, y² + 49 y - 38 y - 931 = 0
or, y² + 11 y - 931 = 0
Or, Applying quadratic equation method to calculate the value of y
so, y =
Or, y =
Or, y =
or, y =
or, y =
∴ y = 25.2 , - 36.5
So, The time taken by larger pipe = y = 25.2 min
and the time taken by smaller pipe to fill the tank = y + 49 = 25.2 + 49 = 74.2 min
Hence The time taken by smaller pipe to fill the tank alone is 74.2 min answer