Answer:
a) 40 dollars
b) 480 dollars
Step-by-step explanation:
Given the average property tax on a three bedroom home in a certain community modelled by the equation T(x) =20x²+40x+600, the rate at which the property tax is increasing with respect to time in 2008 can be derived by solving for the function T'(x) at x=0
T'(x) = 2(20)x¹ + 40x° + 0
T'(x) = 40x+40
At x = 0,
T'(0) = 40(0)+40
T'(0) = 40
Hence the property tax was increasing at a rate of 40dollars with respect to the initial year (2008).
b) There are 4 years between 2008 and 2012. To know how much that the tax change between the years 2008 and 2012, we will find T(4) - T(0)
Given T(x) =20x²+40x+600
T(4) =20(4)²+40(4)+600
T(4) = 320+160+600
T(4) = 1080 dollars
Also T(0) =20(0)²+40(0)+600
T(0) = 0+0+600
T(0)= 600 dollars
T(4) - T(0) = 1080 - 600
T(4) - T(0) = 480 dollars
Hence, the tax has changed by $480 between 2008 and 2012
The equation is 2.25x2.50.
You just have to put 9.25=2.25 x 2.50. Hope this helps!♡
A cube has 6 faces, so the surface area of ONE face = 54/6 = 9
Each face of a cube is a square, so let's let x = the length of one side of that square
The area of a square = (side length)²
If the area of ONE face = 9, then we can write x² = 9, which means x = 3
So, each side of the cube has length 3
Volume of a cube = (side length)³ = (3)³ = 27
Answer:
27
Answer: Altitude!!!
Step-by-step explanation:
APEX
