Identify the domain and range and sketch the graph

Step-by-step explanation:

y=√(-x-3) - 3

y exisit : - x -3 ≥ 0

- x  ≥ 3

x ≤ - 3    the domain is :  D=] -∞,-3 ]

y=√(-x-3) - 3

y + 3 = √(-x-3)

x exisit :  y + 3  ≥ 0   ; y ≥ -3

the range is : w = [- 3,+ ∞ [

look the graph

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

no problobm

step-by-step explanation: