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:
If the 20% discount is by the hour then the answer would be $11.70 I think.
0.25x78= 19.50
19.50x0.20(20%)= 3.90
19.50-3.90-3.90= 11.70
Hope this helps!
Step-by-step explanation:
To find the number of bracelets Mia can make, she will convert 5 yards to inches and then break that into groups of 18 inches.
5 x 36 = 180 inches
180/18= 10
Mia can make 10 bracelets.
Answer:
the answer is 24 because if you 6 x 4 it's 24
also with 4x6 it's still 24
plz give me a brailnliess
Step-by-step explanation:
Answer:
150 mL
Step-by-step explanation:
We need a mixture that is at 50%, now we have 200 mL at 35% and another mixture that is at 70%, that is, we must calculate how much of this mixture is added, by the following equation
200 * 35% + x * 70% = 50% (x + 200)
70 + 0.7 * x = 0.5 * x + 100
0.7 * x - 0.5 * x = 100 - 70
0.2 * x = 30
x = 30 / 0.2
x = 150
150 mL must be added so that the mixture is 50%.
