1. <span><span>7 2/9</span>−<span>4 <span>2/3</span></span></span><span>=<span>2 <span>5/9</span></span></span><span>(Decimal: 2.555556)</span>
Answer:
f(-2) = 4
Step-by-step explanation:
The function has three definitions depending on the value of x.
You are looking for the value of the function at x = -2.
-2 is in the interval x <= -1, which is the first line of the definition of the function.
We use the first line of the definition of the function.
f(x) = -2x for x <= -1
f(-2) = -2(-2) = 4
Answer: f(-2) = 4
The 7 out of ten adds up to 56 the last 3 add up to 36 which equals 92 divided by ten is 9.2 average
Answer:
the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm
Step-by-step explanation:
since the volume of a cylinder is
V= π*R²*L → L =V/ (π*R²)
the cost function is
Cost = cost of side material * side area + cost of top and bottom material * top and bottom area
C = a* 2*π*R*L + b* 2*π*R²
replacing the value of L
C = a* 2*π*R* V/ (π*R²) + b* 2*π*R² = a* 2*V/R + b* 2*π*R²
then the optimal radius for minimum cost can be found when the derivative of the cost with respect to the radius equals 0 , then
dC/dR = -2*a*V/R² + 4*π*b*R = 0
4*π*b*R = 2*a*V/R²
R³ = a*V/(2*π*b)
R= ∛( a*V/(2*π*b))
replacing values
R= ∛( a*V/(2*π*b)) = ∛(0.03$/cm² * 600 cm³ /(2*π* 0.05$/cm²) )= 3.85 cm
then
L =V/ (π*R²) = 600 cm³/(π*(3.85 cm)²) = 12.88 cm
therefore the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm
The answer is y=-2/3+2 because the line crosses at 2, which is the y-intercept. It goes down two times and runs three times making the slope -2/3.
