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Pepsi [2]
3 years ago
14

Consider the function as representing the value of an ounce of palladium in U.S. dollars as a function of the time t in days.

Mathematics
1 answer:
viva [34]3 years ago
6 0

Answer:

the average rate of change rc is 13 , 12.1 and 12.01 for h=1 , 0.1 and 0.01 respectively

Step-by-step explanation:

for

R(t) = 30*t − 3*t² ; t = 3

the average rate of change of R(t) over the time interval [t, t + h] is

rc= [R(t+h)-R(t)] / [(t+h) -t) = [R(t+h)-R(t)] /h = 1/h * [ 30*(t+h) − 3*(t+h)²  - (  30*t − 3*t² ) ] =  (1/h) * ( 30*h - (3*t² + 6*t*h + t²) +3*t² ) = 30 - 6*t + h

then

rc= 30 - 6*t + h

for t=3 and h=1

rc= 30 - 6*3 + 1 = 13

for t=3 and h=0.1

rc= 30 - 6*3 + 0.1 = 12.1

for t=3 and h=0.01

rc= 30 - 6*3 + 0.01 = 12.01

for t=3 and h=0.001

rc= 30 - 6*3 + 0.01 = 12.001

when h goes smaller , the average rate of change gets closer to the instantaneous rate of change of R(t) in t=3 (the derivative of R in t=3) , that is

R'(t)= 30 - 6*t

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A recipe calls for 3/4 cup of sugar for every 3 cups of flour.How many flour should be used for every 1 cup of sugar ?​
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in a standard casino dice game the roller wins on the first roll if he rolls a sum of 7 or 11. what is the probability of winnin
Alborosie

<u>Answer-</u>

<em>The probability of winning on the first roll is </em><em>0.22</em>

<u>Solution-</u>

As in the game of casino, two dice are rolled simultaneously.

So the sample space would be,

|S|=6^2=36

Let E be the event such that the sum of two numbers are 7, so

E = {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)}

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8 0
3 years ago
Question 1 of 40<br> If f(x) = 4x² - 6 and g(x) = x² - 4x-8, find (f- g)(x).
Aleksandr-060686 [28]

Answer:

\huge\boxed{\sf (f-g)(x) = 3x\² + 4x - 14}

Step-by-step explanation:

<h3><u>Given functions:</u></h3>
  • f(x) = 4x² - 6
  • g(x) = x² - 4x - 8
<h3><u>Solution:</u></h3>

Subtract both functions

(f-g)(x) = 4x² - 6 - (x² - 4x - 8)

(f-g)(x) = 4x² - 6 - x² + 4x - 8

Combine like terms

(f-g)(x) = 4x² - x² + 4x - 6 - 8

(f-g)(x) = 3x² + 4x - 14

\rule[225]{225}{2}

3 0
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