Answer:
x=32
Step-by-step explanation:
x/2-7=9
1/2x-7=9
add seven to both sides
1/2x=16
multiple both sides by two
x=32
Answer:
An Echo
Step-by-step explanation:
Answer: 54
Step-by-step explanation: 30, percentage increased by 80% (percent) of its value = 54
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
Answer:
The relationship between the graphs is the intersection point at (0.667,1.333)
Step-by-step explanation:
we have
y=2x ----> equation A
The slope of the line A is equal to m=2
The line passes through the origin
y=2-x ----> equation B
The slope of the line B is m=-1
The x-intercept is the point (2,0)
The y-intercept is the point (0,2)
Line A and Line B are not parallel (the slopes are not equal)
Line A and Line B are not perpendicular (the product of their slopes is not equal to -1)
so
The relationship between Line A and Line B is the intersection point both graphs
using a graphing tool
The intersection point is (0.667,1.333)
see the attached figure
The intersection point is a common point , therefore belongs to both lines
