1. -5(x - 2) - (x + 2) = 50

Mathematics

2 answers:

Serjik [45]2 years ago

4 0

Answer:

x = - 7

Step-by-step explanation:

Given

- 5(x - 2) - (x + 2) = 50 ← distribute parenthesis on left side

- 5x + 10 - x - 2 = 50, that is

- 6x + 8 = 50 ( subtract 8 from both sides )

- 6x = 42 ( divide both sides by - 6 )

x = - 7

Nat2105 [25]2 years ago

4 0

Answer:

(-5x - 10) - 2x = 50

-7x - 10 = 50

+10 +10

-7x = 60

-7x/7 = 60/7

x=8.57142857143 or 60/7

Step-by-step explanation:

You first distribute the -5 to X and 2 then add x and 2. Then add 10 on both sides. Next divided each side by POSITIVE 7 and decimal or fraction is ur final answer

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Say you want to buy x shirts which cost 2$ each and add tax which is $0.75. You have 13$ to make your purchase.

kobusy [5.1K]

EDIT:
2x + 0.75 = 13
Add like terms
2x= 13-0.75
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x= 12.25/2
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Hope this helps! A thanks/brainliest answer would be appreciated :)

3 0

2 years ago

A rumor spreads through a small town. Let y ( t ) be the fraction of the population that has heard the rumor at time t and assum

Ivan

Answer:

Differential equation

$\frac{dy}{dt} =ky(1-y)$

Solution

$y=\frac{1}{1+4e^{-0.327t}}$

Value of constant k=0.327 days^(-1)

The rumor reaches 80% at 8.48 days.

Step-by-step explanation:

We know

y(t): proportion of people that heard the rumor

y'(t)=ky(1-y), rate of spread of the rumor

Differential equation

$\frac{dy}{dt} =ky(1-y)$

Solving the differential equation

$\frac{dy}{y(1-y)}=k\cdot dt \\\\\int \frac{dx}{y(1-y)} =k \int dt \\\\-ln(1-\frac{1}{y} )+C_0=kt\\\\1-\frac{1}{y} =Ce^{-kt}\\\\\frac{1}{y} =1-Ce^{-kt}\\\\y=\frac{1}{1-Ce^{-kt}}$

Initial conditions:

$y(0)=0.2\\y(3)=0.4\\\\y(0)=0.2=\frac{1}{1-Ce^0}\\\\1-C=1/0.2\\\\C=1-1/0.2= -4\\\\\\y(3)=0.4=\frac{1}{1+4e^{-3k}} \\\\1+4e^{-3k}=1/0.4\\\\e^{-3k}=(2.5-1)/4=0.375\\\\k=ln(0.375)/(-3)=0.327\\\\\\y=\frac{1}{1+4e^{-0.327t}}$