A. Slope = 2
b. Slope = 2/3 or 0.66
(Slope = change in y / change in x)
Answer:
it a
Step-by-step explanation:
Answer:
an event with no possible outcomes
Step-by-step explanation:
because there is only one posible thing that can happen
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.
Answer:
Step-by-step explanation:
The lady gets paid $8 per hour that the shop is opened, so multiply the pay rate ($8) by the amount of hours the shop is opened
$8 * 8 = $64
Now add the $64 onto the expense of running the shop
$64 + $240 = $304
Now take that amount away from Friday's sales
$530 - $304 = $ 226
Profit($226) = Income($530) - Expenses($304)
$226 = $226
=)
