Answer:
(a) 
(b) Domain: 
<em>(See attachment for graph)</em>
(c) 
Step-by-step explanation:
Given
Solving (a): A function; l in terms of w
All we need to do is make l the subject in
Divide through by 2
Subtract w from both sides
Reorder
Solving (b): The graph
In (a), we have:
Since l and w are the dimensions of the fence, they can't be less than 1
So, the domain of the function can be
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To check this
When 
When 
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<em>See attachment for graph</em>
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Solving (c): Write l as a function 
In (a), we have:
Writing l as a function, we have:
Substitute for l in
becomes
From the table, for every 6 containers of water, you need 8 containers of red dye. So, for every one container of red dye you need 0.75 containers of water (6/8). Then, multiply that by 100 (since you wanted to know water necessary for 100 containers of red dye). For 100 containers of red dye, you would need 75 containers of water.
Answer:
4
Step-by-step explanation:
1. AB:BC is 1:2
2. Add the 1 and the 2
(3)
3. Find the distance between -7 and 26
26-(-7) = 33
4. Divide the distance by 3
33/3 = 11
5. Find the distance from A---->B
-7 + 11 = 4
Answer:
a = 374
Step-by-step explanation:
Given that:
Cost of children ticket = $6
Cost of adult ticket = $9
Total amount spent = $1219
Total number of people = 16
Let :
Children = c
Adult = a
a + c = 16 - - 1
6c + 9a = 1219 - - - 2
From 1
c = 16 - a
Using 2
6(16 - a) + 9a = 1219
96 - 6a + 9a = 1219
3a = 1123
a = 374.33
Adult = 374.33
The number should be a whole number, maybe there is a problem with the parameters given.
