Answer:
Step-by-step explanation:
Given
Let the three sides be a, b and c
Such that:
Required
Find c such that a, b and c do not form a triangle
To do this, we make use of the following triangle inequality theorem
To get a valid triangle, the above inequalities must be true.
To get an invalid triangle, at least one must not be true.
Substitute:
The results of the inequality is: and
Rewrite as: and 
This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)
Any value outside this range, cannot form a triangle
So, we can say:
, since no options are given
403, 892 rounded to the nearest thousand is 404,000.
The three is in the thousands place, and the 8 in the hundreds place tells us us to round up. The three becomes a 4 and everything behind it a 0. :)
Answer:
x ≤ 2
Step-by-step explanation:
2 red rose cost $ 18
x flowers cost $ 11x
"At most " means ≤.
11x + 18 ≤ 40
11x ≤ 40 - 18
11x ≤ 22
x ≤ 2
-------------------------------------------------
Answer:
y < 0.25x + 4
Step-by-step explanation:
The dotted line indicates that the inequality is either a greater than(>) or less than(<). This is because the answer does include the set of points along the line.
We are looking to find an inequality such that any point below that is considered a solution. Thus, after finding the line's equation in slope-intercept form, we can replace the = with <.
Solving for the line:
Take any 2 points and determine the slope. I used (-8,2) and (0,4). The slope using 
results in 
or 0.25. As we can see visually from the graph, the y-intercept is (0,4). Thus, the equation of the line is y = 0.25x + 4.
Now all we do is replace the = with the < and we have our answer:
y < 0.25x + 4
