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Luda [366]
3 years ago
14

What is the solution to 2(-4x+1)=2/3(x+2)

Mathematics
1 answer:
Rzqust [24]3 years ago
8 0

Hello!

The answer to your problem is: x=1/13

<u>Simplify both sides of the equation</u>

(2)(-4x)+(2)(1)=(2/3)(x)+(2/3)(2) (Distribute)

-8x+2=2/3x+4/3

<u>Subtract 2/3x from both sides</u>

-8x+2-2/3x=2/3+4/3-2/3x

-26x+2=4/3

<u>Subtract 2 from both sides</u>

-26/3x+2-2=4/3-2

-26/3=-2/3

<u>Multiply both sides by 3/(-26)</u>

(3/26)*(-26/3x)=(3/-26)*(-2/3)

<u>Get your answer</u>

x=1/13

Hope This Helps!

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Answer:

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Step-by-step explanation:

Perhaps you want to use the points (t, P) = (4, 150) and (6, 160) to find the parameters P0 and k in the equation ...

  P(t)=P_0\cdot e^{kt}

We know from the given points that we can write the equation as ...

  P(t)=150\left(\dfrac{160}{150}\right)^{(t-4)/(6-4)}=150\left(\dfrac{16}{15}\right)^{\frac{t}{2}-2}\\\\=150\left(\dfrac{16}{15}\right)^{-2}\times\left(\left(\dfrac{16}{15}\right)^{\frac{1}{2}}\right)^t

Comparing this to the desired form, we see that ...

  P_0=150\left(\dfrac{16}{15}\right)^{-2}\approx 131.836\\\\e^{k}=\left(\dfrac{16}{15}\right)^{1/2}\rightarrow k=\dfrac{1}{2}(\ln{16}-\ln{15})\approx 0.0322693

So, the approximate equation for P is ...

  P(t)=131.836\cdote^{0.032t}

And the parameters of interest are ...

  • k = 0.032
  • P0 = 131.836
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