Let:
x = cost of senior citizen ticket
y = cost of student ticket
4x + 5y = 102
7x + 5y = 126
4x + 5y = 102
4x = 102 - 5y
x = (102 - 5y)/4
x = 102/4 - 5y/4
7x + 5y = 126
7(102/4 - 5y/4) + 5y = 126
(714/4 - 35y/4) + 5y = 126
-35y/4 + 5y = 126 - 714/4
note:
-35y/4 = -8.75y
714/4 = 178.5
-8.75y + 5y = 126 - 178.5
-3.75y = -52.5
y = -52.5/-3.75
y = 14
x = 102/4 - 5y/4
x = 102/4 - 5(14)/4
x = 8
x = cost of senior citizen ticket = $8/ea
y = cost of student ticket = $14/ea
Ans(a):
Given function is 
we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0
so let's solve
x+4≠0 for x
x≠0-4
x≠-4
Hence at x=4, function can't have solution.
Ans(b):
We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)
so we get:
g(x)=f(x)+4
We may simplify this equation but that is not compulsory.
Comparision:
Graph of g(x) will be just 4 unit upward than graph of f(x).
Ans(c):
To find value of x when g(x)=8, just plug g(x)=8 in previous equation
4x-3x=-1-16
x=-17
Hence final answer is x=-17
The geometric means between -5 and -125 is; 25
<h3>How to find the geometric mean?</h3>
To find the geometric mean between two numbers, we simply find the square root of the product of the two numbers.
For example, geometric mean between A and B is;
G.M = √(A * B)
Thus, geometric mean between -5 and -125 is;
G.M = √(-5 * -125)
G.M = √625
G.M = 25
There could be other geometric means between this like;
G.M = √(-5 * -45) = 15
Or GM = √(-10 * -40) = 20
Read more about geometric mean at; brainly.com/question/17266157
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Let's find out how much she spent every month.
4000 (starting money) - 2800 (remaining money) = 1200 spent over 3 months
1200/3 = 400 per month was spent
So if she continues to spend 400 a month?
How many months are left? 12 (months of the year) - 3 (months she already spent) = 9
So 9 (remaining months) * 400 (amt per month) = 3600 she'll spend at the going rate over 9 months.
But she only has 2800 left.
2800 (remaining) - 3600 (estimated total of spending) = -800
So she will be 800$ in debt at the end of the year at the current rate.
Answer:
70%
Step-by-step explanation:
So 5600/8000 is the fraction and 80 = 1% so 5600/80 will be your answer
