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3 years ago

2x+4(2x+7)=3(2x+4) What is x

Mathematics

2 answers:

Rainbow [258]3 years ago

8 0

Answer:

x = -4

Step-by-step explanation:

2x+4(2x+7)=3(2x+4)

Distribute

2x+8x + 28 = 6x +12

Combine like terms

10x +28 = 6x +12

Subtract 6x from each side

10-6x+28 = 6x +12 -6x

4x +28 = 12

Subtract 28 from each side

4x+28-28 = 12-28

4x = -16

Divide each side by 4

4x/4 = -16/4

x = -4

pav-90 [236]3 years ago

6 0

Answer:

x = -4

Step-by-step explanation:

2x+4(2x+7)=3(2x+4)

2x + 8x + 28 = 6x + 12

10x + 28 = 6x + 12

4x = -16

x = -4

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A small military base housing 1,000 troops, each of whom is susceptible to a certain virus infection. Assuming that during the c

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Answer:

$I=\frac{1000}{exp^{0,806725*t-0.6906755}+1}$

Step-by-step explanation:

The rate of infection is jointly proportional to the number of infected troopers and the number of non-infected ones. It can be expressed as follows:

$\frac{dI}{dt}=a*I*(1000-I)$

Rearranging and integrating

$\frac{dI}{dt}=a*I*(1000-I)\\\\\frac{dI}{I*(1000-I)}=a*dt\\\\\int\frac{dI}{I*(1000-I)}=\int a*dt\\\\-\frac{ln(1000/I-1)}{1000}+C=a*t$

At the initial breakout (t=0) there was one trooper infected (I=1)

$-\frac{ln(1000/1-1)}{1000}+C=0\\\\-0,006906755+C=0\\\\C=0,006906755$

In two days (t=2) there were 5 troopers infected

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Rearranging, we can model the number of infected troops (I) as

$-\frac{ln(1000/I-1)}{1000}+0,006906755=0,000806725*t\\\\-\frac{ln(1000/I-1)}{1000}=0,000806725*t-0,006906755\\-ln(1000/I-1)=0,806725*t-0.6906755\\\\\frac{1000}{I}-1=exp^{0,806725*t-0.6906755} \\\\\frac{1000}{I}=exp^{0,806725*t-0.6906755}+1\\\\I=\frac{1000}{exp^{0,806725*t-0.6906755}+1}$

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Find the area of a parallelogram with sides 6 and 12 and an angle of 60

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Hello,

Let's assume h the heigth of the parallelogram

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