Answer:
Step-by-step explanation:
Answer:
13 and 16
Step-by-step explanation:
let the 2 parts be x and y, then
x + y = 29 → (1) and
x² + y² = 425 → (2)
From (1) → x = 29 - y → (3)
substitute x = 29 - y into (2)
(29 - y)² + y² = 425 ( expand factor )
841 - 58y + y² + y² = 425 ( rearrange into standard form )
2y² - 58y + 416 = 0 ← in standard quadratic form
divide all terms by 2
y² - 29y + 208 = 0
Consider the factors of 208 which sum to - 29
These are - 13 and - 16, hence
(y - 13)(y - 16) = 0
equate each factor to zero and solve for y
y - 13 = 0 ⇒ y = 13
y - 16 = 0 ⇒ y = 16
substitute these values into (3)
x = 29 - 13 = 16 and x = 29 - 16 = 13
The 2 parts are 13 and 16
First you need to find out how much he spends each session which would be___?
Answer:
Step-by-step explanation:
1) False: The function is decreasing (because the base, 1/3, is between 0 and 1).
2) True: The function is decreasing (see #1, above)
3) False: There is no x-intercept.
4) True: If x is 0, then y = (1/3)^0 = 1.
5) False: the range consists of the set of all real numbers greater than zero.
