<span>D=20+50t
120=20+50t
50t=100
t=2 hours
Domain of t from t=-(2/5)hr to t=2hr. Since they already drove 20 miles.
[-2/5,2]</span>
For this case we must find the value of the variable "x" of the following expression:
We apply distributive property to the terms within parentheses: 
We subtract 4x on both sides:
We add 2 to both sides:
We divide between 2 on both sides:
Answer:
Answer:
65
Step-by-step explanation:
You can use f(15) = 40 to solve for C, then find f(0), the initial temperature.
40 = f(15)
40 = Ce^(-0.045·15) +14 = .50916C +14
26 = .50916C
26/.50916 = C ≈ 51.065
Then f(0) is ...
f(0) = 51.065·e^0 +14 = 65.065 ≈ 65
The initial temperature of the water was 65 degrees Fahrenheit.
Answer:
9 teams
Step-by-step explanation:
If the total games played was 36 and no team played each other twice, we need to ensure there isn't any double counting.
36 = (n-1) + (n-2) + (n-3) ... + (n-(n-1))
using this knowledge, we can then count up:
1+2+3+4+5+6+7+8 = 36
If our highest number is 8, then we know there must be 9 teams, because no team can play themselves.
Answer:
Step-by-step explanation:
The conic form of the equation for a sideways parabola is
(y - k)² = 4p(x - h)
The focus is at (h + p, k)
The equation of Samara's parabola is
(y - 3)² = 8(x - 4)
h = 4
p = 8/4 = 2
k = 3
h + p = 6
So, the focus point of the satellite dish is at
