a. If c is the total number of cars washed and p is the profit
The profit depends on the total number of cars washed.
So profit P is the dependent variable and C is the independent variable
(b) yes, the relationship between c and p a function
Because for each input for c, there will be an unique output for P
(c) C is the number of cars
Each car charged is $5
So C cars charged is 5C
The liquid soap costs $34 and is enough to wash 40 cars. So we subtract 34
Hence Profit P = 5c - 34
The equation is P = 5c - 34
(d) The liquid soap costs $34 and is enough to wash 40 cars
So number of cars is 0 to 40
0<=c <=40
soap costs $34
so profit is above 34
When cars = 40 then profit is 5(40) - 34= 166
So profit lies between 34 and 166
34<= P<= 166
Answer:
, 
, 
, 
Step-by-step explanation:
The bag has a total of (4+2+3+5) = 14 balls. Set up the proportions:
Red: 
green: 
yellow: 
blue: 
Now solve!
Removing 1 yellow, 1 red, 1 green, and 1 blue = 
Removing 1 blue, 1 green, 1 green, and 1 yellow = 
Removing 1 red, 1 red, 1 yellow, and 1 yellow = 
Removing 1 green, 1 yellow, 1 yellow, and 1 red = 
The answer can be shown in both exact and decimal forms.
Exact form:
Decimal form:
2.70820393...
I hope this helps!
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To move it 1 to the left, we make x into (x+1), so we have (x+1)². Conversely, if we wanted to move it to the right, we'd subtract 1 from x. Next, we have to vertically stretch by a factor of 3, meaning that we have to multiply the whole thing (at the current point) by 3, turning our equation into 3(x+1)². Lastly, we must reflect over the x axis, which is the line g(x)=0. If we want to reflect over g(x), we essentially multiply g(x) by -1, making -g(x)=3(x+1)². However, we want to solve for g(x), not -g(x), so we multiply both sides by -1 to end up with -3(x+1)²
