Answer:
See proof below
Step-by-step explanation:
We will use properties of inequalities during the proof.
Let 
. then we have that 
. Hence, it makes sense to define the positive number delta as 
(the inequality guarantees that these numbers are positive).
Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that 
, and if we prove this, we are done. To prove it, let 
, then 
. First, 
then 
hence 
On the other hand, 
then 
hence 
. Combining the inequalities, we have that 
, therefore as required.
Answer:
Step-by-step explanation:
In the equation y=kx+1, k is the slope and 1 is the y-intercept.
To find the slope, use the formula k=y2-y1/x2-x1. To use this formula, you need two points. The first point, point M, is given to you. The second point can be the y-intercept, point (0, 1). Now, apply the formula to find the slope: k=3-1/1-0
k=2/1
k=2
We now have the equation y=2x+1.
The next step is to graph the line.
First, graph the y-intercept. Should look something like this: (star represents point. the point is on (0, 1).)
|
|
*
------------------------------
|
|
Then, use the slope to find your second point: (the point is on (1, 3)).
| *
|
*
------------------------------
|
|
Draw a line through those two points and you have your answer!
It is cheeper to buy 127g of cookies for 7.03$. If you divide the cookie price by the G(cookies) you can see what price is higher.
J=9+x
5J=110
A) 110=5(9+x)
110=45+5x
65=5x
13=x
B) Kim is 13 years old
J=9+x
J=9+13
J=22
C) Jordan is 22 years old
Answer:
The graph where the red point has a meaning is the graph C or third graph.
Step-by-step explanation:
As we can see the first and second graphs are irrelevant and have no relation between the x axis and y axis.
In graph A, the bird feeder graph is shown where the quart is a unit for liquids and pounds is a unit for solids. Thus, the red point cannot be defined.
Similarly, in graph B, height and team numbers are not related to each other in any way, so not clear meaning can be withdrawn here,
In graph C, the relation between cost of pictures and number of pictures are shown. We can very well understand here, that as the number of pictures increases, the cost increases.
So, the graph where the red point has a meaning is the graph C or third graph.
