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.
First we need to convert cm to mm
45 cm = 450 mm
Now our ratio looks like this
60/450
We can divide both by 30 and once we do that our ratio will look like this:
2/15
That means the answer is B
Answer: $12,916.70
Step-by-step explanation:
Given the following:
Invoice received :
Bedroom set = 5
Cost per set = $3,000
Chain discount = 5/8/3
Freight cost = $200
If Mel pays within the discount period:
Chain discount given = 5/8/3
Therefore, net equivalent price rate equals:
(1 - 0.05) × (1 - 0.08) × (1 - 0.03) =
0.95 × 0.92 × 0.97 = 0.84778
Net price = total cost × 0.84778
($3000 × 5) × 0.84778
$15000 × 0.84778 = $12,716.7
Net equivalent price + FOB Shipping
$12,716.7 + $200 = $12,916.70
40,000 is 10 times as much as 4,000
A = 0.363636 ...
a = 0.(36)
100a = 36.(36)
100a - a = 36.(36) - 0.(36)
99a = 36