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
Situation : Earnings of 15 dollars is represented as integer as 
.
<u>Step-by-step explanation:</u>
Here we have , to Write an integer to represent the following situation: Earnings of 15 dollars . Let's find out:
Integer : An integer in math is composes of both positive and negative whole number as : -3,-2,-1,0,1,2,3 etc ..........
According to statement , we need to write an integer to represent the statement : EARNINGS OF 15 DOLLARS . There is word earnings in statement that means increment or increase , and other words are 15 dollars or $15 . So , above statement means increase of 15 dollars which can be represented as an integer as given below :
⇒
Where + sign means increase or , with reference to statement it refers to word earnings . Therefore , Situation : Earnings of 15 dollars is represented as integer as .
Answer:
line a and b are parallel
line c is not perpendicular because it is not 3
step-by-step explanation:
if the slope is the same it is parallel
if the slope is the complete opposite it is perpendicular
lines a and b are parallel with a slope of -1/3
(0, 5) (3, 4)
m = 4 - 5 / 3 - 0
m = -1 / 3
m = -1/3
(-1, 1) (2, 0)
m = 0 - 1 / 2 + 1
m = -1 / 3
m = -1/3
line c is perpendicular to lines a and b the slope is
(0, 0) (2, 5)
m = 5 - 0 / 2 - 0
m = 5/2
2.5
Answer: is it supposed to be 2y+y=4?
First you do -13+9. That equals -4.
Then bring down -c=-4 because there is a 1 in front of the c so -1c.
Next divide both sides by -1. The -c side cancels out so then your left with -4/-1.
That equals positive 4.
C=4
That’s ur answer.
