Solve the quadratic equation for x.<br><br> 3x2+12x=0<br> x = <br> or x =

The production function f(x) gives the number of units of an item that a manufacturing com pany can produce from units of raw ma

makvit [3.9K]

Answer:

Step-by-step explanation:

Recall that the notion of the derivative of a function is the rate of change of it. So it kind of tells us how much the value of functioin changes as the independt variable increases or decreases. If it is positive, this means that the function will increase as the indepent variable increases, and if it is negative, that means that the function will decrease as the indepent variable increases.

a) Since f(x) is the number of units you can make out of x units of raw material, it is natural to think that the more material you have, the more units you can make, so we expect f'(x) to be positive.

b) The company buys each unit of raw material at the price w. So the product wx represents the total cost of the raw material used to produce f(x) units. Since each produced unit is sell at the price of p, then the product pf(x) represents the total income for selling all f(x) units.Recall that the profit is the difference between the total income and the total cost of production. Hence, the profit in this case is represented by the formula pf(x)-wx.

c) Recall that a function h(x) that is differentiable attains it's maximum when it's derivative is 0 and it's second derivative is negative.

In this case, we know that the derivative of the profit function, evaluated at x* must be 0, since it is a maximum. So, using the rules of derivation, we know that the derivative of the profit function is pf'(x)-w. Hence,

pf'(x*)-w =0. From where we know that f'(x*)=w/p.

5 0

2 years ago

Owen receives $10 and puts it into his savings account. He adds $0.50 to the account each day for a number of days, dd, after th

tankabanditka [31]

It is the sum of the initial amount and the additional amount after d days

HOPE THIS HELPS!

6 0

3 years ago

Read 2 more answers

Leah has two savings accounts with balances totaling $8,000. She withdrew 15% from one and

DedPeter [7]

Answer:930 Hope this Helps :D

Step-by-step explanation:

For the given problem:

Let the balances of the saving accounts be (x) and (y)

Leah has two savings accounts with balances totaling $8,000

so,

x+y=8000 (1)

She withdrew 15% from one and 40% from the other. If she has $6,350 remaining in the accounts

So, The remaining from the accounts will be (1 - 15%) and ( 1 - 40%)

that will give the decimals: 0.85 and 0.6

so, we can write the following equation:

0.85x+0.6y=6350 (2)

Now, solve the equations (1) and (2) to find (x) and (y)

From equation (1)

y=8000-x (3)

Substitute with (y) from equation (3) into equation (2)

0.85x+0.6*(8000)-x =6350

Now solve the equation

0.85x+0.6*8000-0.6x=6350

0.85x-0.6+4800+6350

0.25x=6350-4800

0.25x=1550

x=6200

Substitute with (x) into equation (3) to find (y)

y=8000-6200=1800

So, the larger account = x = 6200

and the smaller account = y = 1800

Now, we will answer the question, how much money did she withdraw from the account with the larger balance?

so, the answer will be: 15% of x = 0.15 * 6200 = 930

So, the answer will be $930

6 0

2 years ago

Introduction to addition or subraction of fractions with different denominator 2/3+1/4

Sav [38]

finding lcm which is 12. 2/3 + 1/4=8+3/12
=11/12

3 0

3 years ago

If an angle measures x° what is its complement

Natali5045456 [20]

90-x because a complementary angle is =90 degrees.

7 0

3 years ago

Solve the quadratic equation for x. 3x2+12x=0 x = or x =