Answer:
-x^2-2x-3
Step-by-step explanation:
- Question 1: Just substitute in the values of f(x) and g(x) and simplify!
- f(x) - g(x) = 4x^2-5x+3-(5x^2-3x+6)
- f(x)-g(x) = 4x^2-5x+3-5x^2+3x-6
- f(x)-g(x) = -x^2-2x-3
Tell me if this helps, and if you still need number 2 or if you can do it by yourself! (Hint: substituting also plays a role in question number 2.)
Hope this helps!!
Step-by-step explanation:
p² + q² + 5(p² + q²)
= 1(p² + q²) + 5(p² + q²)
= (1 + 5)(p² + q²)
= 6(p² + q²).
So let's start by guesstimating the slopes:
the green line has a slope close to -x, but more negative than that, possibly -2; the pink line has a slope close to +x, but higher towards +2.
Next let's look at the solution: the two lines intersect at the point (1, -1).
**you could just simple plug that x (1) into all the equations, but let's rule out answers anyway. ;)
A) is incorrect because the slopes of -1 and +1 are off from out predicted -2 and +2
B) is incorrect because of a similar reason, the slopes of +3 and +1 don't make any sense
C) Ooh, we do have a +2 and -2 for the slopes, and... violà! plug in 1 for the x's and we get -1 for the y in both equations
D) slopes are closer than in A and B, but plugging in 1 doesn't get us -1
So the correct answer is:
C) y = 2x - 3 and y = −2x + 1
