Answer:
The slope of the line is 
and the equation of the line is 
.
Step-by-step explanation:
From table we understand that slope of the line is constant, that is, for each change of 
there is one and only change in 
, fulfilling the main characteristic of a line and we can determine the slope for every point of the line by means of the following expression:
(1)
Where:
- Initial and final x-coordinates of the line.
- Initial and final y-coordinates of the line.
If we know that 
and 
, then the slope of the line is:
From graph we conclude that x-intercept of the line is 
. Hence, the equation of the line is and we proceed to plot the expression with the help of a graphing tool.
Answer:
see below
Step-by-step explanation:
<u>Given:</u>
Binomial 7 - 25f
- 7 = constant, it is a number as a term
- 25 = coefficient, it is a number which is multiplied by a letter (variable)
- f = variable, which is normally identified as a letter, it is degree one
Answer:
the second one
Step-by-step explanation:
Answer:
58 at the point (9,8)
7 at the point (1, 1)
Step-by-step explanation:
The maximum points will be found in the vertices of the region.
Therefore the first step to solve the problem is to identify through the graph, the vertices of the figure.
The vertices found are:
(1, 10)
(1, 1)
(9, 5)
(9, 8)
We look for the values of x and y belonging to the region, which maximize the objective function 
. Therefore we look for the vertices with the values of x and y higher.
(1, 10), (9, 5), (9, 8)
Now we substitute these points in the objective function and select the one that produces the highest value for f (x, y)
The point that maximizes the function is:
with 
Then the value that produces the minimum of f(x, y) is (1, 1)
Answer:
it would be a 2/30 chance
Step-by-step explanation:
