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lions [1.4K]
3 years ago
15

I really don't understand this I need help

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
7 0
In looking at it I would guess it is asking which of the points is on the line? To answer that you would have to take each point an plug it into the equation and see if it is true.

3x - 7 = y

A(9,20)  
3(9) - 7 = 20
27 - 7 = 20
20 = 20 True - this point is on the line

B(5,0)
3(5) - 7 = 0
15 - 7 = 0
8 = 0 False - this point is not on the line

C(3,2)
3(3) - 7 = 2
9 - 7 = 2
2 = 2  True - this point is on the line

I hope this helps
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Ben consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Ben's body decr
Airida [17]

Answer:

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

Step-by-step explanation:

After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.

This means that the amount of caffeine after t hours is given by:

A(t) = A(0)e^{-kt}

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.

1 - 0.2722 = 0.7278, thus, A(10) = 0.7278A(0). We use this to find k.

A(t) = A(0)e^{-kt}

0.7278A(0) = A(0)e^{-10k}

e^{-10k} = 0.7278

\ln{e^{-10k}} = \ln{0.7278}

-10k = \ln{0.7278}

k = -\frac{\ln{0.7278}}{10}

k = 0.03177289938


Then

A(t) = A(0)e^{-0.03177289938t}

What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?

We have to find find A(5), as a function of A(0). So

A(5) = A(0)e^{-0.03177289938*5}

A(5) = 0.8531

The decay factor is:

1 - 0.8531 = 0.1469

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

7 0
3 years ago
For a ride on a rental scooter, Deon paid an $8 fee to start the scooter plus 6 cents per minute of the ride. The total bill for
faltersainse [42]

Answer:

66 minutes

Step-by-step explanation:

11.96 - 8 =3.96

Every 10 minutes Deon pays 60 cents because 6 times 10 = 60 and every 6 minutes Deon is paying 36 cents

10 min = 60 cents

20 min = $1.20        

40 min = $2.40

50 min = $3.00

60 min = $3.60

6 min = 36 cents

Then you do 3.60 + 36 which equals $3.96

How to figure how the minutes is just 60 + 6 = 66 minutes

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Answer:

B and C

Step-by-step explanation:

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