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3 years ago

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: $0$ (See attachment for graph)

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 $w = 20$

$l = -20 + 21$

$l = 1$

$(w,l)= (20,1)$

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

See attachment for graph

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 Sjsjjjsjajajahjajaja

motikmotik

Answer:

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 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.

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