Answer:A General Note: Rate of Change
The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Area of the rectangle = 33 inches sq
Area of a rectangle (formula) = l*b
let the width be x
length = 2 inches + 3x = 2+3x
Area of the rectangle = l*b = 2+3x + x
33 inches sq = 2+3x + x
33 in sq = 2+4x
33/2 = 4x
16.5/4 = x
x = 4.125
width= <u>4.125 inches</u>
length = 2+3x = 2+3(4.125) = <u>14.375</u>
<u></u>
(unless your poster is 32 sq inches and you made a mistake, just replace 33 with 32 and solve it)
Given that for each <span>$2 increase in price, the demand is less and 4 fewer cars are rented.
Let x be the number of $2 increases in price, then the revenue from renting cars is given by

.
Also, given that f</span><span>or each car that is rented, there are routine maintenance costs of $5 per day, then the total cost of renting cars is given by

Profit is given by revenue - cost.
Thus, the profit from renting cars is given by
</span><span>

For maximum profit, the differentiation of the profit function equals zero.
i.e.
</span><span>

The price of renting a car is given by 48 + 2x = 48 + 2(8) = 48 + 16 = 64.
Therefore, the </span><span>rental charge will maximize profit is $64.</span>
Answer:
The two odd numbers are 15 and 17
Step-by-step explanation:
Given
<em>Let the odd numbers be represented with x and y</em>
<em>Let x be the greater number</em>
<em></em>
<em></em>
<em></em>
<em>Required</em>
Find x and y
Since x and y are consecutive odd numbers and x is greater, then

Substitute y + 2 for x in
<em></em>
<em></em>
<em></em>
<em></em>
Collect Like Terms
<em></em>
<em></em>
<em></em>
<em></em>
Divide both sides by 6



Substitute 15 for y in 


<em>Hence; the two odd numbers are 15 and 17</em>
X intercept is (14/9,0)
Y intercept is (0,-2)