Answer:
Step-by-step explanation:
We have a piesewise function composed of three pieces. two line segments and one point.
The first line cuts at point (0,0) and ends at point (3, -1)
If we use these two points we can find the equation of the line.
The slope m is:
So the equation is:
As the line cuts in (0,0) then 
and the equation is:
The equation of the second line is:
Now we can find f(x) (although it is not necessary to find the equation of f(x) because we have its graph)
if 
; 
if 
; 
if 
.
The limit of f(x) when x tends to 3 from the left 
is the limit of the function when x approaches 3 from the left. If x approaches 3 from the left then 
. If then f(x) is given by the line . Then the limit is -1 as seen in the graph
Area of hexagon = base * (apothem/2) * 6 = 3(base*apothem)
=3*15*20
=900 square units.
However, a hexagon consists of 6 equilateral triangles in which the apothem is 0.866 times the base, meaning that the apothem is shorter than the base.
Perhaps the base is 20 and apothem 15. The answer will come to be the same though.
Answer:
$7,287.50
Step-by-step explanation:
Use the formula A=P(1+rt), where P is the starting amount, R is the rate in %, and T is the time in years.
3/4 bc 1 1/4 divided by 20 is 1/16. 1/16 times 12 is 3/4
Answer:
B) rose bush: $8, pot of ivy: $11
Step-by-step explanation:
12(8) + 13(11) = 239
remove parentheses: (a) = a
= 12 * 8 + 13 * 11
multiply the numbers: 12 * 8 = 96
= 96 + 13 * 11
multiply the numbers: 13 * 11 = 143
= 96 + 143
add the numbers: 96 + 143 = 239
= 239
