Answer:
a = 2, b = -9, c = 3
Step-by-step explanation:
Replacing x, y values of the points in the equation y = a*x^2 + b*x +c give the following:
(-1,14)
14 = a*(-1)^2 + b*(-1) + c
(2,-7)
-7 = a*2^2 + b*2 + c
(5, 8)
8 = a*5^2 + b*5 + c
Rearranging:
a - b + c = 14
4*a + 2*b + c = -7
25*a + 5*b + c = 8
This is a linear system of equations with 3 equations and 3 unknows. In matrix notation the system is A*x = b whith:
A =
1 -1 1
4 2 1
25 5 1
x =
a
b
c
b =
14
-7
8
Solving A*x = b gives x = Inv(A)*b, where Inv(A) is the inverse matrix of A. From calculation software (I used Excel) you get:
inv(A) =
0.055555556 -0.111111111 0.055555556
-0.388888889 0.444444444 -0.055555556
0.555555556 0.555555556 -0.111111111
inv(A)*b
2
-9
3
So, a = 2, b = -9, c = 3
Answer:
Unit rate = 1 1/2 cups per serving
Step-by-step explanation:
1/2 serving has 3/4 cup
1 serving
3/4 * 1/2 = 3/4 * 2/1 = 6/4 = 6/4 / 2 = 3/2 = 1 1/2
Class A
14 - 4 = 10
Class B
16 - 12 = 4
answer
Class A has greater <span>interquartile range</span>
Answer:
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Step-by-step explanation:
cwBHSBVGDVDWKEHACBDGJ,
B=cost per boquet
v=cost per vase
3b+5v=25.75
8b+2v=29.00
use eliminateion
divide 2nd equation by 2
4b+v=14.50
multiply it by -5 and add to other equation to eliminate v
-20b-5v=-72.5
<span><u>3b+5v=25.75 +</u></span><u />
-17b+0v=-46.75
-17b=-46.75
divide both sides by -17
b=2.75
a boquet costs $2.75