Answer:
No more than half of the candies drawn are blue
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.
A) 9 : 5
B) 5( 36/9) which is 20 ounces of lemonade concentrate
7. Straight lines are also = to 180°
If you look at the diagram, when you add the two angles together, they form a straight line.
Since the angles add up to 180°, you can do:
(x + 25)° + (4x + 5)° = 180°
x + 25 + 4x + 5 = 180 Combine like terms
5x + 30 = 180 Subtract 30 on both sides
5x = 150 Divide 5 on both sides
x = 30
