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3 years ago

Can someone please take me step by step to find x?

Mathematics

2 answers:

Aleksandr [31]3 years ago

8 0

-(7x + 4)- 2x + 2 = 52

Distribute the negative sign:
-7x -4 - 2x + 2 = 52

Combine like terms:
-9x - 2 = 52

Add 2 to both sides:
-9x = 54

Divide by -9:
x = -6

Answer: x = -6

klemol [59]3 years ago

7 0

1. distribute the negative sign it become -7x - 4
2. combine like term
3. you would know what to do from there ;)

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3 years ago

Find the solution to the differential equation dB/dt+4B=20 with B(1)=30

natita [175]

Answer:

The solution of the differential equation is $B=5+25e^{-4t+4}$

Step-by-step explanation:

The differential equation $\frac{dB}{dt}+4B=20$ is a first order separable ordinary differential equation (ODE). We know this because a separable first-order ODE has the form:

$y'(t)=g(t)\cdot h(y)$

where g(t) and h(y) are given functions.

We can rewrite our differential equation in the form of a first-order separable ODE in this way:

$\frac{dB}{dt}+4B=20\\\frac{dB}{dt}=20-4B\\\frac{dB}{dt}=4(5-B)\\\frac{1}{5-B}\frac{dB}{dt}=4$

Integrating both sides

$\frac{1}{5-B}\frac{dB}{dt}=4\\\frac{1}{5-B}\cdot dB=4\cdot dt\\\\\int\limits {\frac{1}{5-B}} \, dB=\int\limits {4} \, dt$

The integral of left-side is:

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