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Dmitry_Shevchenko [17]
2 years ago
8

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. The rational function h

as a y-intercept of 7. What is the equation for this function?​

Mathematics
1 answer:
grigory [225]2 years ago
5 0

Answer:

f(x) = 1/(x+2) + 7

Step-by-step explanation:

The graph depicts the line of 1/x shifted to the left by 2 and up by 7.

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Please answer this and show your work please I really need help !!!
klemol [59]
Unless you just want to give money to the ice cream truck, for 0 items, you will pay 0.

Since the price of each item is $0.77, for one item you will pay $0.77. (Is that a surprise?)

Then for two items, you will pay $0.77 for each one, or $0.77 + 0.77 = $1.54. You can also compute this by making use of the fact that multiplication is a shortcut for repeated addition. The price can be found by $0.77×2 = $1.54 = f(2).

Similarly, for 3 items, you can add $0.77 three times: $0.77 + 0.77 + 0.77 = f(3), or you can use multiplication: $0.77×3 = $2.31 = f(3).

a) Our table looks like
  (x, f(x))
  (0, 0)
  (1, 0.77)
  (2, 1.54)
  (3, 2.31)

b) By now, I'm sure you have realized that to find the price of x items, you multiply 0.77 by x.
  f(x) = 0.77x
8 0
2 years ago
Jane buys some rocks for decorating her backyard. She uses a box full of rocks. The box is a rectangular container that is 1 yar
statuscvo [17]
First, Jane must know the volume of the box.
Volume = l * w * h
Volume = 1 * 0.5 * 0.5
Volume = 0.25 yard^3

1 yard^3 = $25

So,
1 : 25 = 0.25 : x
x = 25 * 0.25
x = $6.25

So she need to spend $6.25
4 0
3 years ago
9(8f+7s) use s=3 and f=2
Margarita [4]
The answer is 333. put the 3 and the 2 in the correct spots. then multiply 8 and 2 which is 16 then 7 and 3 which is 21. then add which is 37. you would have to multiply 37 and 9 and you would get 333.
8 0
3 years ago
A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equati
I am Lyosha [343]

Answer:

The model for the temperature of the drink can be written as

T=72-20e^{-0.08t}

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

\frac{dT}{dt}=k*(T_r-T)

If we rearrange and integrate

\int\frac{dT}{(T-Tr)} =-k*\int dt\\\\ln(T-T_r)=-kt+C1\\\\T-T_r=Ce^{-kt}\\\\T=T_r+Ce^{-kt}

We know that at time 0, the temperature of the drink was 52°F. Then we have:

T=T_r+Ce^{-kt}\\\\52=72+Ce^0=72+C\\\\C=-20

We also know that at t=2, T=55°F

T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08

The model for the temperature of the drink can be written as

T=72-20e^{-0.08t}

7 0
3 years ago
Write the umber 10.5 in the form a/b
Dafna11 [192]
The umber  10.5  can be written as

==>  21 / 2

==>  42 / 4

==>  63 / 6

==>  84 / 8

==>  105 / 10

and many, many other ways.

They ALL have the same value.

3 0
2 years ago
Read 2 more answers
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