In a video game, two creatures are moving around a coordinate plane. The fizgig follows a path given by y=2x-4. The whatzit foll
ows a path given by y=x to the power of 2 -3. What is the y-coordinate of that the fizgig and the whatzit both pass through?
1 answer:
Answer:
-2
Step-by-step explanation:
The range of the fizgig is -∞ to +∞. The range of the whatzit is -3 ≤ y < ∞. That is, both creatures pass through all y-values between -3 and +∞.
__
Perhaps you want the y-coordinate of a point that both creatures pass through. The point of intersection is found where both equations are satisfied:
2x -4 = y = x^2 -3
x^2 -2x +1 = 0
(x -1)^2 = 0
x = 1
The value of y at that point is ...
y = 2x -4 = 2(1) -4 = -2
The y-coordinate of the point both creatures pass through is -2.
You might be interested in
Split up the integral:
For the first integral, substitute <em>y</em> = <em>x</em> ² + 9 and d<em>y</em> = 2<em>x</em> d<em>x</em>. For the second integral, take <em>x</em> = 3 tan(<em>z</em>) and d<em>x</em> = 3 sec²(<em>z</em>) d<em>z</em>. Then you get
and
Then