Answer: y>(1/3)x-3
Step-by-step explanation: The slope is 1/3. The dotted line means it is not inclusive, and the value of k means it is going down three units.
Answer:
p(x) = 8x - 20
Step-by-step explanation:
revenue from selling x shirts is f(x) = 15x
The cost of buying x shirts is c(x) = 7x + 20
p(x) = f(x) - c(x)
To solve this, we need to substitute value of f(x) and c(x) in formula for p(x)
p(x) = f(x) - c(x)
p(x) = 15x -( 7x + 20)
=> p(x) = 15x - 7x -20
=> p(x) = 8x -20
Thus, profit is p(x) = 8x - 20.
Answer:
<h2>
0.0526ft/min</h2>
Step-by-step explanation:
Since the gravel being dumped is in the shape of a cone, we will use the formula for calculating the volume of a cone.
Volume of a cone V = πr²h/3
<em>If the diameter and the height are equal, then r = h</em>
V = πh²h/3
V = πh³/3
If the gravel is being dumped from a conveyor belt at a rate of 20 ft³/min, then dV/dt = 20ft³/min
Using chain rule to get the expression for dV/dt;
dV/dt = dV/dh * dh/dt
From the formula above, dV/dh = 3πh²/3
dV/dh = πh²
dV/dt = πh²dh/dt
20 = πh²dh/dt
To calculate how fast the height of the pile is increasing when the pile is 11 ft high, we will substitute h = 11 into the resulting expression and solve for dh/dt.
20 = π(11)²dh/dt
20 = 121πdh/dt
dh/dt = 20/121π
dh/dt = 20/380.133
dh/dt = 0.0526ft/min
This means that the height of the pile is increasing at 0.0526ft/min
Answer:
x=-1
Step-by-step explanation:
-4(-5x+2)-3x-5=-30
open the bracket
+20x-8-3x-5=-30
collect like terms
20x-3x-8-5=-30
17x=-30+13
17x= - 17
divide both sides by 17
x= -1
9.4-0.1 = 9.3
The range is highest minus lowest
