Answer:
x=-1
y=-1
Step-by-step explanation:
-6x + 5y =1 ......equation (1)
6x + 4y = –10 ......equation (2)
adding equation (1) to equation (2)
9y=-9
9y/9 =-9/9 (dividing both side by the coefficient of y)
y=-1
subtituting the value of y =-1 into equation (2)
6x+4(-1)=-10
6x+(-4)=-10
6x-4=-10
6x=-10+4(making constant to be at one side and the variable at the other side)
6x=-6
x=-6/6
x=-1
Answer:
A
Step-by-step explanation:
it's graphical represent is mistake.
Answer:
Option D is correct.
Step-by-step explanation:
Option D is correct.
y < 2 and y >= x
Because the dotted line shows that y < 2 and y >=x is shown is represented by diagonal line.
Answer:
0.25
Step-by-step explanation:
0.52 is like 2 quarters
0.25 is 1 quarter
So, 1 < 2
Have a nice day! :)
A) zeroes
P(n) = -250 n^2 + 2500n - 5250
Extract common factor:
P(n)= -250 (n^2 - 10n + 21)
Factor (find two numbers that sum -10 and its product is 21)
P(n) = -250(n - 3)(n - 7)
Zeroes ==> n - 3 = 0 or n -7 = 0
Then n = 3 and n = 7 are the zeros.
They rerpesent that if the promoter sells tickets at 3 or 7 dollars the profit is zero.
B) Maximum profit
Completion of squares
n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4
P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000
Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000
Maximum profit =1000 at n = 5
C) Axis of symmetry
Vertex = (h,k) when the equation is in the form A(n-h)^2 + k
Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000
Vertex = (5, 1000) and the symmetry axis is n = 5.
