Answer:
Step-by-step explanation:
The given equation is 4 + 2/3 x = -5
Taking variable on one side and constants on other side, we get
The number in decimal form is given by -13.5
The number in fraction form is given as
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.
Answer:
Step-by-step explanation:
step 1
Find the slope
we have
(0,-6) and (1,4)
The slope is equal to
step 2
Find the equation of the line in slope intercept form
The equation of the line in slope intercept form is
we have
-----> y-intercept (given value in the table)
substitute
Answer:
X=27
Step-by-step explanation:
Times 3 by 9 to get the answer
