Answer:
step three is wrong
Step-by-step explanation:
just did it
In the case of whole numbers, dividing 2 by itself would prove the conjecture false.
2/2 = 1
2/8 = 0.25
Answer:
1. The slope of the line is
.
2. The value of a is 18.
Step-by-step explanation:
If a line passes through two points, then the slope of the line is

(1)
It is given that the line passes through the points (-a + 3, b - 3) and (a + 3, -b). So, the slope of the line is



The slope of the line is
.
(2)
If the line passing through the points (a, 1) and (6, 5), then the slope of the line is

If the line passing through the points (2, 7) and (a + 2, 1), then the slope of the line is

The slopes of two parallel lines are same.


On cross multiplication we get




Divide both sides by -2.

Therefore the value of a is 18.
Since those are the zeros, we can say that the equation would have to be
x(x-1)(x-6), then we just expand to get x^3 - 7x^2 + 6x
There are 122,100 public school teachers in Ohio and Ohio has a population of 11.6 million people. Illinois has a population of 12.9 million people. If the number of public school teachers per capita in Illinois was proportional to that of Ohio, how many public school teachers would we expect Illinois to have?
This problem uses proportionality or the relationship between two values. Typically, proportions are expressed as fractions. So, we can set this up as
and we can use this to express both of our values. So, for Ohio, we have
and for Illinois we have
. Now, because they are proportional, we can set them equal to each other and we get
. Now we can cross multiply to get
. To get the
alone on one side, we divide by
and we get 124,662.931034, which is about equal to 124,663.
Therefore, we expect Illinois to have 124,663 public school teachers