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:
815
Step-by-step explanation:
First you put the value of x from the table into the formula provided.
<em>y = -670 + 33(x) </em><= plug in the x value from the table
<em>y = -670 + 33(45)</em> <= multiply 33 * 45
<em>y = -670 + 1485</em> <= add the two terms (which you will subtract because one is positive and one is negative.
<em>y = 815</em>
Given: 5x-y=4. Create a couple of ordered pairs by choosing x and calculating y from this equation:
x=1 results in y=1. Thus, (1,1) is a solution.
x=-3 results in -15-y=4, or -y=19, or y=-19. Thus, (-3,-19) is a solution.
x=0 results in -y=4, so that y=-4. Thus, (0,-4) is a solution.
answer:
Step-by-step explanation:
13-8
5
5/-7
w= -0.71
you would want to divide the sum of 17 to 8,000 and then same with the 41 to 8000 and of you do that then you divide the 2.25 for gas with both