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:
6 hrs 33 minutes
Step-by-step explanation:
2hr 57min
+3hrs42min
----------------------
5 hrs 99 minutes
But 1 hr = 60 minutes so subtract 60 minutes and add 1 hour
6 hrs 33 minutes
4.3 x 10 to the power of 2
Answer:
3:1
Step-by-step explanation:
We know that the number of students who prefer cheese AND vegetable pizza is 16 cheese + 2 vegetable = 18 combined
We also know that the number of students who prefer sausage AND pepperoni pizza is 3 sausage + 3 pepperoni = 6 combined
If we take the ratio between these figures, this ratio would be 18:6 (read as 18 to 6) which simplifies to 3:1 (read as 3 to 1).
