Answer:
See proof below
Step-by-step explanation:
If C is the midpoint of AB, then AC = CB
Given
AC=7x−10;
CB=3x+10
Then 7x - 10= 3x+10
Add 10 to both sides
7x-10+10 = 3x +10+10
7x = 3x + 20
7x - 3x = 10+10
4x = 20
x = 20/4
x = 5
Get AC
AC = 7x - 10
AC= 7(5) - 10
AC = 35-10
AC = 25 (Proved)
The first equation is $3 times 9 = $27 the next equation iis $1 times 2 = $1
So you do 9 transactions over $100 and 2 transactions of $100 or lower.
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.
-9 is a rational number. Rational numbers are numbers that can’t be written as a simple fraction like pi (3.14...etc)
Answer:
18x
Step-by-step explanation:
18x times 18x
so the side is 18x because it was squared
