Answer:
The equation is given by:
Step-by-step explanation:
During last years's charity walk, she raised $45.50.
During this years walk, she raised n, which is 7/10 of this amount. So, the equation is given by:
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.
The equation that matches the given situation is 
. So, after two moves, Eric's elevation changed 
meters above.
We know that in mathematics, subtraction means removing something from a group or a number of things. What is left in the group gets smaller when we subtract. The minuend is the first element we use. The subtrahend is the part that is being removed. The difference is the portion that remains after subtraction.
Assume that "negative" means climbing down and "positive" means climbing up. We must locate the elevation change in this area.
Given that Eric climbed straight down 
meters. So we can write 
.
Again Eric climbed straight up 
meters. So, we can write .
Then the change = 
=
=
=
=
=
=
=
Therefore, the equation that matches the given situation is . So, after two moves, Eric's elevation changed meters above.
Learn more about subtraction here -
brainly.com/question/24116578
#SPJ10
2/9=0.222.....
it is alot closer to zero than any of ther other numbers
Step-by-step explanation:
7x - 15 =55
7x= 55 +15
7x =70
X=70/7
X=10
Hope this helps..
