Answer:
F' = (7, 6)
R' = (-1, 7)
I' = (-2, -5)
O' = (6, -6)
Step-by-step explanation:
The reflection rule across the y-axis states that (x, y) ---> (-x, y). Thus, all x coordinates must be converted to their negative counterparts. The -7 from F becomes 7, the 1 from R becomes -1, the 2 from I turns into -2, and the -6 from O changes to 6.
Let the number of years Brad has been on the soccer team be represented by x, and let y represent the number of years Scott has been on the same team.
From the information given, we formulate the equations:
5y - 2 = x -----(1)
x + y = 10 -----(2)
Now, substituting equation (1) into equation (2):
5y - 2 + y = 10
6y - 2 = 10
6y = 12
y = 2
Next, substituting this value back to find x:
x = 5×2 - 2
x = 8
So, Brad has spent a total of 8 years in the team.
B. f(x) ≤ 0 over the interval [0, 2]. D. f(x) > 0 over the interval (–2, 0). E. f(x) ≥ 0 over the interval [2, ).
Response:
The coach should begin seeking players who weigh at least 269.55 pounds.
Step-by-step explanation:
We have these details from the question:
Average, μ = 225 pounds
Standard Deviation, σ = 43 pounds
The weights follow a bell curve, indicating a normal distribution.
Formula:
We need to establish the value of x that corresponds to a probability of 0.15
Review from the standard normal z table gives us:
Consequently, the coach should start recruiting players weighing at least 269.55 pounds.
