Answer:
w⁴+5w³+17w²+24w +18
Step-by-step explanation:
Area of a rectangle = length * width
Given
Length = w²+3w+9
width = w²+2w+2
Area of the rectangle = (w²+3w+9)(w²+2w+2)
Area of the rectangle = w²(w²) + 2w(w²) + 2w² + 3w(w²) + 3w(2w) + 2(3w)+9w²+9(2w)+9(2)
Area of the rectangle = w^4+2w^3+2w²+3w^3+6w^2+6w+9w²+18w+18
Collect the like terms;
Area of the rectangle = w^4+2w^3+3w^3+2w²+6w²+9w²+6w+18w+18
Area of the rectangle = w⁴+5w³+17w²+24w +18
Hence the area of the entire triangle is w⁴+5w³+17w²+24w +18
Answer:
Duration of the tour he planned first is 8 days.
Step-by-step explanation:
Given that a person has 12000 rupees for his daily expenses.
Let x be the number of days.
Then daily expenses per day 
Given that number of day is increased by 2 more days, that is number of days is x+2.
New daily expense per day 
Given that this new daily expenses are 300 less than original.
That is 




(x-8)(x+10)=0
x=8 or -10.
Since number of days cannot be negative, duration of the tour planned=8.
That is around 13 or 14 cents. The specific answer is 13.65853659 cents, but you can either round up to 14 or round down to 13 (rounding up to 14 is the correct way to do it.)
First you divide 1.12 by 8.2 to get the unit rate because It takes $1.12 to buy 8.2 ounces. 1.12/8.2=13.65853659
as you already know, the equation y=-7/4x-2, is already in slope-intercept form and thus its slope is the coefficient of the "x", namely -7/4.
parallel lines have the same exact slope, so a parallel line to this one will also have a slope of -7/4, and it passes through 4,2,

Step-by-step explanation:
Variable x = number of copies
6.50 <= 0.45x
Divide both sides by 0.45
6.50 ÷ 0.45 <= 0.45x ÷ 0.45
14.4444.... <= x
No more than 14 copies
6.50 <= 0.45x
6.50 <= 0.45(14.444)