the answer is 1030 it's very simple math.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

400/(1+e^-x)=350

400=350(1+e^-x)

400=350+350e^-x

350e^-x=400-350

350e^-x=50

e^-x=50/350

e^-x=1/7

ln e^-x=ln (1/7)

-x ^(ln e)=ln1-ln7

-x(1)=0-ln7

x=ln7

x= ln 7 ≈1.94591...

400=350(1+e^-x)

400=350+350e^-x

350e^-x=400-350

350e^-x=50

e^-x=50/350

e^-x=1/7

ln e^-x=ln (1/7)

-x ^(ln e)=ln1-ln7

-x(1)=0-ln7

x=ln7

x= ln 7 ≈1.94591...

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