Answer:
Step-by-step explanation:
g(x)=3(10-x)^2-8
=3(12)^2-8
=144*3-8
=432-8
=424
Answer:
A $0.02
Step-by-step explanation:
Let's solve how much does it cost to have a bulb on for an hour. ⇒ 120 watt = 0.1 kilowatt per hour which costs 0.20 per kilowatt per ⇒ 0.1 kilowatt per hour* 0.20 = 0.02 dollars in an hour.
Answer:
<u>The correct answer is A. - 11 square root of 7.</u>
Step-by-step explanation:
We have the expression 2 √28 - 5 √ 63 and we have to find and equal expression.
Let's simplify it:
2 √28 - 5 √ 63
2 √7 * 4 - 5 √ 9 * 7 (28 is also equal to 7 * 4 and 63 is equal to 9 * 7)
2 * 2 √7 - 5 * 3 √ 7
4 √7 - 15 √7
- 11 √7
<u>The equal expression is A. - 11 square root of 7.</u>
Answer:
The demand reduces by $7.12 per month
<em></em>
Step-by-step explanation:
Given




Required
Determine the rate of change of demand
We have:

Differentiate with respect to time

Collect like terms

Factorize

Solve for dx/dt

Given that:
and 
Solve for x


Equate to 0


Using a quadratic calculator, we have:

Demand must be greater than 0;
So: 
So, we have:
; 
The rate of change of demand is:




<em>This implies that the demand reduces by $7.12 per month</em>