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balandron [24]
3 years ago
9

Which statement is true regarding the graphed functions f2 and g4

Mathematics
1 answer:
andreev551 [17]3 years ago
5 0
I don’t know i just need to answer questions
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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

All we need to do is make l the subject in 2(l + w) = 42

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>

Solving (c): Write l as a function f(w)

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

f(w) = -w + 21

5 0
3 years ago
Grant can pick 9 tomatoes in 12 minutes. How many tomatoes can grant pick in one hour?
blagie [28]

Answer:

45 tomatoes

Step-by-step explanation:

1 hour = 60 minutes

60 ÷ 12 = 5

you can get 9 tomatoes every 12 minutes, 5 times in one hour

9 × 5 = 45

3 0
3 years ago
Help<br><br><br><br><br><br><br><br><br><br> Sjsjjjsjajajahjajaja
motikmotik

Answer:

hi

Step-by-step explanation:

{5}^{2}  +  {x}^{2}  =  {7}^{2}  \\ 25 +  {x}^{2}  = 49 \\  {x}^{2}  = 49 - 25 \\  {x}^{2}  = 24 \\ x =  \sqrt{24}

have a nice day

6 0
3 years ago
Devon has 14 steel balls of equal weight. If he puts 8 of them in one pan of a balance, and the rest along with a weight of 20 g
astra-53 [7]
Let n be a number of balls: n = 14

In one pan you have 8 balls: 8n
In the other pan you have the rest of balls (14 - 8 = 6) along with a <span>weight of 20 grams = 6n + 20
So the pans are balanced:
8n = 6n + 20

Now, just solve the equation:
8n - 6n = 20
2n = 20
n = 20/2
n = 10
So, you know that a ball weights 10 grams.</span>
4 0
3 years ago
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One snake caught 121212 mice.
Nata [24]

120657Step-by-step explanation:

6 0
3 years ago
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