Δ = (8i)^2 - 4*(-25) => Δ = -36 +100 => Δ = 64 => x1 =(-8i + 8)/2 => x1 = -4i +4;
x2 = (-8i - 8)/2 => x2 = -4i-4; in this case, your solutions are complex conjugates.
Answer:
See explanation
Step-by-step explanation:
Let x be the number of hours per week Nando is brisk walking and y be the number of hours per week Nando is biking at a moderate pace.
For the first month, he needs to exercise at most five hours per week, then
Brisk walking burns about 350 calories per hour, then it burns 350x calories per x hours.
Biking at a moderate pace burns about 700 calories per hour, then it burns 700y calories per y hours.
Nando must burn at least 2,000 calories per week, so
You get the system of two inequalities:
The attached graph shows the solution set to this system of inequalities. In this diagram, red region represents the solution set to the first inequality, blue region represents the solution set to the second inequality and their intersection is the solution set to the system of two inequalities.
Answer:
Step-by-step explanation:
Formula
h = k/temp
Givens
h = 4 hours
t = 45 degrees
Solution
3 = k / 45 Multiply both sides by 45
3*45 = k
k = 135
Problem
what happens when h = 4 hours?
h = 4
k = 135
temp = ?
4 = 135 / temp Multiply both sides by temp
4temp = 135 Divide by 4
temp = 135 / 4
temp = 33.75
Note that as the time went up, the temperature came down
If a(2) = 0, then k=2. The product of the zeros is
(2)*(3)*(6)*(-3) = -108
The absolute value of the product of zeros of a(t) is 108.