<span>Open and closed circles are used to mark the end points of intervals.
If the circle is open, it means the end point is NOT included in the interval,
but if the circle is closed, it means the end point is included.
Consider the interval . In this interval, the low endpoint, the 3,
is not included because you have a 'less than' sign. The high endpoint, the 6,
is included because you have a 'less than or equal' sign. It is the presence
or absence of the 'or equal' part that determines whether the circle is closed
or open.
The interval would be marked on the number line with an open
circle at 3, a closed circle at 6, and a heavy line connecting the two.
</span>
Answer:
x² - x - 6
Step-by-step explanation:
Given
(x + 2)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 3) + 2(x - 3) ← distribute parenthesis
= x² - 3x + 2x - 6 ← collect like terms
= x² - x - 6
Answer:
, graph is there for reference.
Step-by-step explanation:
Given,
is the number of math problem Lucy solved.
is the number of pages she read.
She can do each math problem in
minutes, therefore she can solve
number of questions into
minutes.
She can read each page in
minutes, therefore she can read
pages in 2.5y minutes.
As per given detail,
equation 1.
And,
It is given that number of math problems Lucy solved is 3 times the number of pages she read.
equation 2.
We need to find
and
intercept of each of the equation to graph them.
For
put y=0
We will get 
Thus the point is 
Let us find
by assuming 
we get 
Thus the point is 
Join these two points.
Similarly considering the other equation 
Here x-intercept would be at
We will get 
Thus the point is 
Let us assume on more point, say
, we get 
Thus the point is 
Join these two points.
We will get a point of intersection at 
Thus
and 
Answer:
they are both true
Step-by-step explanation:
they are both true because of proportionalities
5/8
5x2=10
8x2=16
therefore 5/8=10/16
the second one is also true because they want you to multiply y by 2
4x2=8
therefore
5/8=5/4x2