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.
<em>Answer:</em>
<em>22,35 £</em>
<em>Step-by-step explanation:</em>
<em>How much does each ticket cost ?</em>
<em>134,10 : 6 = 22,35 £</em>
<em />
<em>134,10 : 6 = 22,35</em>
<em>12</em>
<em>___</em>
<em>= 14</em>
<em> 12</em>
<em> ___</em>
<em> =21</em>
<em> 18</em>
<em> ___</em>
<em> = 30</em>
<em> 30</em>
<em> ___</em>
<em> = = </em>
31 is the answer because if you add all the numbers and then divide by the number of
There are 12 inches in a foot. To find how many inches are in 5 feet, multiply by 12:
5*12 = 60 inches
Add the 8 additional inches:
60 + 8 = 68 inches
The answer is 68.
Answer: 42 - 8x
Step-by-step explanation:
Here is the complete question:
Jessica had $15. She bought 3 apples for x dollars each. Levi had $27 and bought 5 apples for x dollars each. Which expression represents how much money both Jessica and Levi have left altogether?
Select one:
27 – 5x
42 – 8x
12 – 2x
39 – 3x
From the question, Jessica had $15. She bought 3 apples for x dollars each. This means she had:
15 - (3 × x) = 15 - 3x
Levi had $27 and bought 5 apples for x dollars each. Levi will have:
27 - (5 × x) = 27 - 5x
The amount they'll have altogether will be the addition of their amount left. This will be:
15 - 3x + 27 - 5x
= 15 + 27 - 3x - 5x
= 42 - 8x
