Answer:
x ≥ -1/2
Step-by-step explanation:
We know that we cannot graph imaginary numbers. Therefore, our <em>x </em>value has to be greater than or equal to 0:
To find our domain, we need to set the square root equal to zero:
√(4x + 2) = 0
4x + 2 = 0
4x = -2
x = -1/2
We now know that no value below -1/2 can be used or we will get an imaginary number. Therefore, our answer is x ≥ -1/2
Alternatively, we can graph the function and analyze domain:
Cosecant = hypotenuse / opposite side ( that is 1 / sine)
csc C = AC / 8
AC = sqrt (6^2 + 8^2) = sqrt 100 = 10
so cosecant of C is 10/8 = 1.25
Answer:
<h2>a) center (2, -3)</h2><h2>b) radius r = 3</h2><h2>c) in the attachment</h2>
Step-by-step explanation:
The standard form of an equation of a circle:

(h, k) - center
r - radius
We have:

a) center (2, -3)
b) radius r = 3
c) in the attachment
Given :
A one-year membership to a gym costs $725.
The registration fee is $125.
To Find :
How much new members pay each month.
Solution :
Remaining fee = Total fee - Registration fee
R = $( 725 - 125 )
R = $600
Amount of fee paid monthly is :

Therefore, monthly fee is $50.
Hence, this is the required solution.