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Paraphin [41]
3 years ago
10

Translate the followingame phrase into an algebraic expression using the variable w. Do not simplify.

Mathematics
1 answer:
katrin [286]3 years ago
4 0

Answer:

2w+2(2w-7)

Step-by-step explanation:

the first 2w is the length of the two widths, and the (2w-7) is the length of the length, and we multiply by two because there are two sides.

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Katrina buys a 42-ft roll of fencing to make a rectangular play area for her dogs.
vekshin1

Answer:

(a) l = -w + 21

(b) Domain: 0 <em>(See attachment for graph)</em>

(c) f(w) = -w + 21

Step-by-step explanation:

Given

2(l + w) = 42

l = length

w = width

Solving (a): A function; l in terms of w

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Divide through by 2

l + w = 21

Subtract w from both sides

l + w - w = 21 - w

l  = 21 - w

Reorder

l = -w + 21

Solving (b): The graph

In (a), we have:

l = -w + 21

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 0

--------------------------------------------------------------------------------------------------

To check this

When w = 1

l = -1 + 21

l = 20

(w,l) = (1,20)

When w = 20

l = -20 + 21

l = 1

(w,l)= (20,1)

--------------------------------------------------------------------------------------------------

<em>See attachment for graph</em>

<em></em>

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In (a), we have:

l = -w + 21

Writing l as a function, we have:

l = f(w)

Substitute f(w) for l in l = -w + 21

l = -w + 21 becomes

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