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2 years ago

Given that (-2,-2) is on the graph of f(x), find the corrisponding point for the function f(x)+5

Mathematics

1 answer:

galben [10]2 years ago

8 0

Answer:

(-2, 3)

Step-by-step explanation:

The +5 represents shifting 5 units up, so we can add 5 to the y coordinate.

This gives us (-2, -2+5)=(-2, 3)

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What is 8640 minutes in a day

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Answer:

6 days

Step-by-step explanation:

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3 years ago

Verify a x (b+c) = a x b + a x c for a = -1/6 b=4/7 c=-2/5

SVETLANKA909090 [29]

Step-by-step explanation:

✓(-1/6×4/7)+(-1/6×-2/5)

✓(-4/42)+(2/30)

✓(-2/21)+(1/15)

✓(-2/21+1/15)

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3 years ago

What is 11.4 divided by 19

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3 years ago

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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

Which value makes the equation true? □+0.34=2.34

Nataly [62]

Answer:

2.00

Step-by-step explanation:

let the empty box be the variable n. n+0.34=2.34

subtract .34 from both sides

n=2.00

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2 years ago

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