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Zigmanuir [339]
3 years ago
12

Let f(t) give the number of liters of fuel oil burned in t days, and w(r) the liters burned in r weeks. Find a formula for w by

scaling the input of f.
Mathematics
1 answer:
viktelen [127]3 years ago
3 0

Answer:

7 f(t)

Step-by-step explanation:

So, our f(t) is the number of liters burned in t days. If t is 1, f(t)=f(1) and so on for every t.

w(r) id the number of liters in r weeks. This is, in one week there are w(1) liters burned.

As in one week there are 7 days, we can replace the r, that is a week, by something that represents 7 days. As 1 day is represented by t, one week can be 7t (in other words r = 7t). So, we have that the liters burned in one week are:

w(r) = w[7f(t)]

So, we represented the liters in one week by it measure of days.

So, we can post that the number of liters burned in 7 days is the same as the number of liters burned 1 day multiplied by 7 times. So:

w (r) = w[7 f(t)] = 7 f(t)

Here we hace the w function represented in terms of t instead of r.

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Jean can pack 5 cartons in 15 minutes. Which expression can be used to show the number of cartons Jean can pack in x hours? Grou
nadezda [96]

Answer: 20x

Step-by-step explanation:

First we should note that 60 minutes = 1 hour. Therefore, 15 minutes = 15/60 = 1/4 hour

Since Jean can pack 5 cartons in 1/4 hours, the number of carton that he can pack in one hour will be:

= 5 ÷ 1/4

= 5 × 4

= 20 cartons.

Therefore, to get the number of cartons that Jean can pack in x hours, we will multiply 20 by x. This will be:

= 20 × x

= 20x

6 0
2 years ago
Lydia spent 4/5 of her money on a mobile phone and 2/3 of the remaining amount on a bag. She had $60 left. How much more money d
KengaRu [80]
The answer is 600 because 1 out 3 is 60 so to find the bag multiply by two while to find 1 out 5 of her monet take 60 times 3 which is 180. 180 times 4 is the money she spent on her mobile phone so take the money spent on her mobile phone(720)minus the amount of money spent on the bag(120)
5 0
3 years ago
What is the value of p ?
VLD [36.1K]

Answer:

p = 35

Step-by-step explanation:

180 - 125 = 55

180 - 90 = 90

55 + 90 = 145

180 - 145 = 35

p = 35

6 0
3 years ago
johnny has 5 chocolate bars, jimmy being the bully eats 4 of the bars johnny had. How many do johnny have left??
Fiesta28 [93]

Answer:

1

Step-by-step explanation:

5-4 = 1

3 0
2 years ago
Function to inverse function f(x) =2x/3-17
ZanzabumX [31]

Answer:

Inverse function is f^{-1}(x)=\frac{3}{2}x+\frac{51}{2}.

Step-by-step explanation:

Given function is f\left(x\right)=\frac{2}{3}x-17.

Now we need to find the inverse of the given function.

Step 1: replace f(x) with y

y=\frac{2}{3}x-17

Step 2: switch x and y

x=\frac{2}{3}y-17

Step 3: solve for y

x=\frac{2}{3}y-17

x+17=\frac{2}{3}y

\frac{3}{2}(x+17)=y

\frac{3}{2}x+\frac{51}{2}=y

Hence required inverse function is f^{-1}(x)=\frac{3}{2}x+\frac{51}{2}.

3 0
3 years ago
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