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jeka94
2 years ago
14

Solve the inequality 3x>12 please help me !

Mathematics
2 answers:
adell [148]2 years ago
8 0

Answer:

A) x>4

Step-by-step explanation:

3x>12

Divide both sides by 3

x>4

anzhelika [568]2 years ago
6 0

Step-by-step explanation: When you are asked to solve an inequality like the one in this problem, your goal is the same as it is when solving equations which is to get <em>x</em> by itself on one side.

In this problem, since <em>x</em> is being multiplied by 3 on the left side of the inequality, to get <em>x</em> by itself, we divide both sides by 3.

On the left side, the 3's cancel and we're left with <em>x</em>. On the right side, 12 divided by 3 is 4 so we have X > 4.

This means that A would be or answer.

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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
Help please with #3
Alenkasestr [34]

Answer: x = 2a over b + c

Step-by-step explanation:

1. Multiply both sides by two. This cancels out 2 and turns a into 2a. It should look like 2a = bx + cx

2) Since both b and c have x’s, we turn it into (b + c)x

3. Then divide both sides by b+c to get 2a over b + c = x

6 0
3 years ago
Help please.
FrozenT [24]

Answer:

B think

Step-by-step explanation:

4 0
2 years ago
Need help im struggling​
alexira [117]
I believe the answer will be 23in
3 0
3 years ago
Given that f(X)=2X-5, find the value of X that makes f(X)=15
amid [387]
X=15 because 2(15) is 30-5 is 15
5 0
3 years ago
Read 2 more answers
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