Answer:
25 rounds
Step-by-step explanation:
Let
x -----> the number of rounds of golf
y ---> total charges to play
The linear equation in slope intercept form is equal to

where
m is the slope or unit rate
b is the y-intercept or initial value
<em>Membership</em>
----> equation A
The slope is m=$35 per round
The y-intercept b=$500 (annual membership fee)
<em>Non-Membership</em>
----> equation B
The slope is m=$55 per round
The y-intercept b=$0
Equate equation A and equation B

solve for x



For x=25 rounds the cost to be the same with and without a membership
Answer:
The discriminant of f is 92, and it has no real zeros
Step-by-step explanation:
The discriminant of a quadratic is
, where the quadratic is in the form
. The discriminant of this one is therefore:

Since the square root of a negative number is imaginary, this quadratic has no real number zeros. Hope this helps!
Answer:
Step-by-step explanation:
Δy =-4-1 = -5
Δx =-8-(-6) = -2
distance = √((Δx)^2+(Δy)^2) = √(4+25) = √29
The value of 
Step-by-step explanation:
Given: The function 
Using this formula, we need to find the value of 
Hence, we need to substitute
by
to find the value of 

Multiplying the term
by
, we get,

Adding the constant term,

Thus, the value of
is 
<u>Answer</u>
≈ 11.1803398874989485
<u>Detailed Explanation </u>
We will be using the distance formula for this problem

Now, let's input the numbers into the formula.

Solve.
Therefore, the distance between the two points is
≈ 11.1803398874989485