Answer:
45/126 or 5/14
Step-by-step explanation:
a / b = 5/8
b / c = 9/14
a = 5
b = 8
b = 9
8 * 9 = 72
b = 72
If b was = 8 and now = 72, multiply a by 9.
b = 45
If b was 9 and now is 72, multiply c by 9.
c = 14 * 9 = 140 - 14 = 126
b / c = 45/126 or 5/14
You are welcome!
Kayden Kohl
9th Grade Student
Answer:
x = 9
Step-by-step explanation:
............................
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.
Use the cross product to find the orthogonal vector, solve the parametric equation to see at which (t) the point + orthogonal vector intersects the plane, the distance is (t) * norm of vector
Step-by-step explanation:
The vertex is the point (-4, 7).
