The statement is true. If x and y are both real numbers, the statement is:
"for every x, there exist y such that "
This is true, because you can pick any real number, square it, and obtain another real number, y. The relation is not surjective, i.e. we will not use all possible values for y, but it doesn't matter. The statement is only asking to find a value for x^2, which we can always do.
Answer:
Step-by-step explanation:
The question is
<em>We let , so the equation becomes:</em>
Where
Putting it in the quadratic formula, we have:
<u>Quadratic formula:</u>
Substituting we have:
<em>We let , so x is:</em>
<em></em>
<em>and</em>
<em></em>
The solutions of the equation is (rounded to 2 decimal places), and
(rounded to 2 decimal places)
Answer:
The possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares by purchasing land.
Step-by-step explanation:
Let the variable <em>X</em> represent the amount of land used for planting trees and <em>Y</em> represent the amount of land purchased.
The goal of the environmental initiative is to save at least 25 million hectares of rain forest.
That is:
<em>X</em> + <em>Y</em> = 25....(i)
Now it is provided that:
Using the above data it can be said that:
400<em>X</em> + 260<em>Y</em> = 8250....(ii)
Solve equations (i) and (ii) simultaneously.
Then the value of <em>y</em> is:
Thus, the possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares for purchasing land.