I think the answer would be inductive! I hope this helps!
Answer:
x^2 - 2x + 5 = 0.
Step-by-step explanation:
The (0, 5) is the point where the parabola passes through the y axis (where x = 0), so we can write the equation as
y = ax^2 + bx + 5 where a and b are constants to be found.
Also, since (1, 4) and (2, 5) are points on the curve, substituting, we have the system:
a(1)^2 + 1b + 5 = 4
a(2)^2 + 2b + 5 = 5
Simplify these 2 equations:
a + b = -1 .................(1)
4a + 2b = 0..................(2)
Multiply the first equation by -2:
-2a - 2b = 2 .................(3)
Add (2) + (3):
2a = 2
a = 1.
Substitute a = 1 into (2):-
4*1 + 2b = 0
2b = -4
b = -2.
Answer:
Option D: g = 7 and h = 3
Step-by-step explanation:
The polynomial is;
8x² – 8x + 2 – 5 + x
Simplifying this gives;
8x² - 7x - 3
If this is simplified to 8x² – gx – h
Thus, by comparison of terms;
– gx = - 7x
-x will cancel out to get;
g = 7
Similarly, - h = - 3
Thus,h = 3
Therefore; g = 7 and h = 3
<h2> ~<u>Solution</u> :-</h2>
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