Answer:
There are two rational roots for f(x)
Step-by-step explanation:
We are given a function

To find the number of rational roots for f(x).
Let us use remainder theorem that when
f(a) =0, (x-a) is a factor of f(x) or x=a is one solution.
Substitute 1 for x
f(1) = 1-2-5+6=0
Hence x=1 is one solution.
Let us try x=-1
f(-1) = 1-2-5+6 =0
So x =-1 is also a solution and x+1 is a factor
We can write f(x) by trial and error as

We find that
factor gives two irrational solutions as
±√3.
Hence number of rational roots are 2.
Answer:
the first statement is true
Step-by-step explanation:
The side- splitter states that if the line is parallel to a side of the triangle and it intersects the other 2 sides, it divides those sides proportionally.
Thus the converse is that if the sides are proportional then the side TU is parallel to the side RS
Calculating the ratios
=
= 
=
= 
Since the ratios are equal then TU is parallel to RS
Answer:
250; 
Step-by-step explanation:
a. 15 minutes passed, so there would be 250 people who came in
b. You would create a formula, where t = time after 8:15 (in minutes), while p = people who are at the parade
, which equals 
The answer is class intervals. A big set of data are grouped into different classes to get a hint of the distribution, and the range of such class of data is known as the Class Interval. In other words, these are range of scores in a group frequency distribution. Class intervals are commonly equal in width and are mutually exclusive. The middle of an interval is called a class mark and the ends of a class interval are called class limits. To calculate the class interval, divide the range by the number of classes.