Answer:
x=4
y=3
Step-by-step explanation:
we have the following equations
3x+y=15 equation 1
5x-4y=8 equation 2
using equation 1 we have:
y=15-3x equation 3
using equation 3 in equation 2 we have:
5x-4(15-3x)=8
5x-4*15+4*3x =8
5x-60+12x = 8
17x=68
x=68/17
so we have x=4
finally in equation 3:
y = 15-3(4)
y = 15-12
y = 3
Answer:
answer 500
Step-by-step explanation:
2x2-40x33 divided by 2 and boom answer 500
The answer is 6. 49 you welcome :)
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:
total profit gained = 20%
Step-by-step explanation:
profit = SP - CP = 18 - 15 = 3 naira
total profit percentage =
- ( profit / CP ) × 100
- 3 / 15 × 100
- 20%
hence her total percentage gain was 20%