Answer:
One piece is 
inches and another piece is 
inches
Step-by-step explanation:
Let smaller piece length be 
Let larger piece length be 
Since total of two pieces is 43, we can write:
Also, one piece is twice as long as the other (so longer piece is definitely twice as the short piece), we can write:
<em>Substituting equation 2 into equation one, we can solve for s:</em>
<em>Thus longer piece is:</em>
Steps:
1) determine the domain
2) determine the extreme limits of the function
3) determine critical points (where the derivative is zero)
4) determine the intercepts with the axis
5) do a table
6) put the data on a system of coordinates
7) graph: join the points with the best smooth curve
Solution:
1) domain
The logarithmic function is defined for positive real numbers, then you need to state x - 3 > 0
=> x > 3 <-------- domain
2) extreme limits of the function
Limit log (x - 3) when x → ∞ = ∞
Limit log (x - 3) when x → 3+ = - ∞ => the line x = 3 is a vertical asymptote
3) critical points
dy / dx = 0 => 1 / x - 3 which is never true, so there are not critical points (not relative maxima or minima)
4) determine the intercepts with the axis
x-intercept: y = 0 => log (x - 3) = 0 => x - 3 = 1 => x = 4
y-intercept: The function never intercepts the y-axis because x cannot not be 0.
5) do a table
x y = log (x - 3)
limit x → 3+ - ∞
3.000000001 log (3.000000001 -3) = -9
3.0001 log (3.0001 - 3) = - 4
3.1 log (3.1 - 3) = - 1
4 log (4 - 3) = 0
13 log (13 - 3) = 1
103 log (103 - 3) = 10
lim x → ∞ ∞
Now, with all that information you can graph the function: put the data on the coordinate system and join the points with a smooth curve.
<span>a = Lw
---
1/2 = (2/3)w
w = (1/2)(3/2)
---
w = 3/4 yard</span>
Answer:
because the total is 300 not 100 so 50 is not reasonable because that is the percentage they planted and since it is more than 100 then it should be a percent of 300 not 100. Maya is wrong about placing 50 bulbs instead they placed 150.
Step-by-step explanation:
Answer:
Simple:
(-2.5,-1) goes 2.5 units left and 1 units down
(0.5,2) goes half a unit right and 2 units up
Step-by-step explanation:
