<h3>The terms 4x and 5y has different variable present in it.
</h3>
<em><u>Solution:</u></em>
Given that,
<em><u>The reason is:</u></em>
When we are adding terms which has exactly the same variables, we must add the constants and let the result stand with variable
Which means,
4x + 10x = 14x
But,
We cannot add terms that has different variable
Which means,
4x + 5y
Here, both the terms 4x and 5y has different variable present in it. Hence they cannot be added together
Answer: Part A = (100% - 80%)P = 35, Part B = 140
<u>Step-by-step explanation:</u>
Percentage: Like + Don't like = 100%
80% + Don't like = 100%
<u> -80% </u> <u> -80% </u>
Don't like = 20%
People: 20% of Patrons = Don't Like
0.20 x Patrons = 35
<u>÷ 0.20 </u> <u> ÷ 0.20 </u>
Patrons = 175
<u>Now, let's write the equation we used to get that answer</u>:
Let P represent the total number of patrons, then the equation is:
(100% - 80%)P = 35
= (1.00 - 0.80)P = 35
= 0.20P = 35
= P = 175
<u>Part B: </u>
80% of Patrons = Like
0.80 x 175 = Like
140 = Like
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.
Two fractions equivalent to 2/6 are...
1/3 and 4/12
Hope this helps!! :)
