Answer:
Step-by-step explanation:
So we have the equation:
Add 2 to both sides. The left cancels:
Divide both sides by 6. The left cancels:
So, the value of x is -1.
And we're done!
Answer: The correct answer is Volume Cone = one-third pi t squared k
Step-by-step explanation: The first important detail to note here is that both cylinder and cone have the same base and the same height This implies that when writing out the formula for calculating the volume of either of the two shapes, the radius and the height will be the same number or value.
The volume of a cylinder is given as;
Volume cylinder = pi x r squared x h (that is πr²h)
Also the volume of a cone is given as;
Volume cone = one-third x pi x r squared x h (that is 1/3*πr²h)
However, the variables have been changed such that the radius r is now represented by t while the height h is now represented by k.
Therefore the volume of the cone should now be re-written as;
Volume cone = one-third pi t squared k <em>(that is 1/3 *πt²k)</em>
X represents the number of minutes.
y represents the price of the bill.
Plan A
y = 25.75+0.75x
Plan B
y= 20.99+x
Plan A is better when it is more than 19 minutes.
Plan B is better when it is less than 19 minutes.
Y = 2x^2 - 13x + 5
dy/dx = 4x - 13
At x = 3, dy/dx = 4(3) - 13 = 12 - 13 = -1
and y = 2(3)^2 - 13(3) + 5 = 2(9) - 39 + 5 = 18 - 34 = -16
The tangent line at x = 3, passes through the point (3, -16) and has a slope of -1
y - (-16) = -1(x - 3)
y + 16 = -x + 3
y = -x - 13 is the required equation.
