
y = slope (x) + y - intercept
To find the slope we need to find out how much the x's and y's increase or decrease...
To find the y - intercept if any, simply look for coordinates ( 0 , y ) or 0 and a #.
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In this case, as time passes, the water level decreases therefore we have a negative slope.
Time is our x and amount (ft) is our y.
On the x side it increases by 2
On the y side it decreases by 10
Now do y over x ==> 10 over 2 and get 5 ==> m
-5 is our slope and 50 is our y - intercept
~~
The "rate of change" is another word for slope.
Well, slope is - 5ft is our slope.

~~
I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey
Answer:

Step-by-step explanation:
The given equation is
.
We take logarithm of both sides to base 2 to get:

Apply the power rule of logarithms to get:

We now apply the change of base formula:





To the nearest thousandth, 
Answer:
Dimensions: 150 m x 150 m
Area: 22,500m²
Step-by-step explanation:
Given information:
- Rectangular field
- Total amount of fencing = 600m
- All 4 sides of the field need to be fenced
Let
= width of the field
Let
= length of the field
Create two equations from the given information:
<u>Area of field</u>: 
<u>Perimeter of fence</u>: 
Rearrange the equation for the perimeter of the fence to make y the subject:

Substitute this into the equation for Area:

To find the value of x that will make the area a <em>maximum</em>, <u>differentiate</u> A with respect to x:

Set it to zero and solve for x:

Substitute the found value of x into the original equation for the perimeter and solve for y:

Therefore, the dimensions that will give Tanya the maximum area are:
150 m x 150 m
The maximum area is:

Answer:(2,5)
Step-by-step explanation: watch this video
https://youtu.be/l78P2Xi68-k