<span>a) define the variables
The variables are x and y ; x can represent the number of times Aleah goes swimming ; while y can represents the number of times Aleah goes skating.
b) are there any restrictions on the variables?
The total sum of both activities must be equal or less than $80 a month
c) write a linear inequality to represent this situation
</span><span>Swimming costs $5 each time and skating costs $4 each time. No more than $80 a month.
5x + 4y <u><</u> 80
You can graph linear inequality using these coordinates.
x y
16 0
12 5
8 10
4 15
0 20</span>
Answer:
329.31
Step-by-step explanation:
The total percentage we have to add is
5+7+1+ .75 =13.75 %
Take the cost of the ticket and multiply by the percentage
289.50 * 13.75%
Change to decimal form
289.50* .1375
39.80625
Rounding to the nearest cent
39.81
Add this to the cost of the ticket
289.50+39.81
329.31
using the FOIL method the equation gets pretty long
Multiply each term by each term and combine like terms the given equation simplifies to:
f(x) = -2x^5 - 9x^4 - 8x^3 + 15x^2 +28x + 12
The degree is equal to the highest exponent, which is the 5 on -2x^5
The degree is 5
The y intercept is the value of y when x is 0
Replace all the x's with 0 and solve the equation:
f(x) = -2(0)^5- 9(0)^4 - 8(0)^3 + 15(0)^2 +28(0) + 12
= 0 -0 -0 + 0 +0 +12 = 12
The y intercept is (0,12)
