Ok lets do this like this:
<span>Let x = length
Let y = width
From this we know that area A=xy.
</span><span>Now, perimeter is P=2x+2y
cost would be 3(2x)+2(2y) or 6x +4y=$6,000.00.
From this cost equation we solve for x in terms of y
6x=6000-4y
x=1000-(4y)/6.
</span>now lets substitute this value in the area equation A=xy.
A=(1000-4y/6)y
<span>A=1000y−4<span>y2</span>/6=1000y−2<span>y2</span>/3</span>
differentiate and set to equal zero (0)
<span>1000−(−4y/3)=0</span><span>
Solve for y and obtain y=750ft</span>
For this case we have that by definition the growth of a population is a function of the form:
Where,
- <em>a: initial population
</em>
- <em>b: growth rate
</em>
- <em>x: number of years
</em>
We observe then that the function is of the exponential type.
Answer:
C) Exponential
Find the y-intercept (7 because it's in slope-intercept form). That would be (0,7). Plot that point.
Find another point. For example, plug in 1 for x. Then solve for f(x) which would be -3(1) + 7 = 4. That would be (1, 4). Plot that point.
Connect the dots and you have a line.
The domain is (-infinity, infinity) because it's an infinite line.
The range is the same because it's an infinite line.
Answer:
a=20; b=-12
Step-by-step explanation:
if you just say (20,-12) then a can anything it can be 20 or it can be -12 so (a=20; b=-12) is an organized way of keeping it.
