The two lines will intersect at the point (2, 3).
We can find this by setting the two equations equal to eachother, as the point at which they intersect is the point where they share the same x and y value. First, we have to get both equations in the form y = mx + c, so:
-x - y = -5
+ y
-x = -5 + y
+ 5
y = -x + 5
Now we can set -x + 5 equal to x + 1 and solve to find the x coordinate:
-x + 5 = x + 1
+ x
5 = 2x + 1
- 1
4 = 2x
÷ 2
2 = x
With the x coordinate, we can substitute it in to one of the equations and find our y coordinate:
y = 2 + 1 = 3
So the final answer is (2, 3).
I hope this helps!
-x + 5 = x + 1
Answer:
The problem is stated as:
Min C = 15*(2*x +y) + 21*y
subject to x*y = 450
Step-by-step explanation:
Given that the region is rectangular, it has two opposite sides called x and two other opposite sides called y (both measured in feet). Then, the area (in square feet) is:
A = x*y = 450
One of the sides called y costs $21 per linear foot. The other 3 sides (two x and one y) costs $15 per linear foot. Then, the cost function is:
C = 15*(2*x +y) + 21*y
Answer: comparison postulate.
Justification.
Although the comparison sign of the inequality is missing, the answer may be perfectly reasoned and properly answered.
The inequality might be either 3 + 2 > 5 or 2 + 2 < 5, in either case the answer is the same.
The comparison postulate states that one and only one of the following statements is true: x = y, x > y, y < x.
This is, x is either equal, or greater than or less than y, but not equal and greater, or equal and less, or greater and less. One and only one of them is true.
So, if 3 + 2 = 5, the comparison postulate assures that it cannot be true both the equality and the inequality.
Tarantulas are 5.9 centimeters longer.