Brainliest and five stars to correct answer pls show work the position of an object at time t is given by s(t) = -9 - 3t. find the instantaneous velocity at t = 8 by finding the derivative.

Hello! There are a few ways to find the derivative. One famous formula is below:

Note, t = x = 8

To find the derivative of s(t) = -9 - 3t let insert it into our formula:

Insert x = 8

Do the Math

Group Like Terms

Cancel Terms and Finish Doing The Math

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So when t = 8 the instantaneous velocity = -3

it would open into a square depending on the type of envelope i’m not sure about the second part

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)