Answer:
m = - 3
Step-by-step explanation:
a³ + 27 can be recognized as a sum of cubes, which factors generally as
a³ + b³ = (a + b)(a² - ab + b²). Therefore:
a³ + 27
= a³ + 3³
= (a + 3)(a² - 3a + 9).
By comparing a² - 3a + 9 to a² + ma + 9, we find that
m = - 3.
Answer:
Step-by-step explanation:
Response:
100 percent increase
Detailed explanation:
1st garden
Length = 6 ft
Width = 4 ft
Perimeter = 2 (l+w)
= 2 (6+4) = 2(10) = 20
2nd garden
The length and width of this garden are double those of the first
Length = 2 *6 = 12
Width = 2 *4 = 8
Perimeter = 2 (l+w)
= 2 (12+8) = 2(20) = 40
Percent change = (new - old )/old * 100 percent
The first garden represents the old garden = 20 and the second refers to the new garden = 40
Substituting values in
Percent change = (40-20)/20 = 20/20 =100 *100 percent
= 100 percent increase
A total of 146 minutes. One student's picture takes 3 minutes. Therefore, 42 x 3 = 126. The class picture takes 10 x 2 = 20. Adding these together gives you a total of 146.
She ought to select the monthly plan for unlimited movies instead of paying $2.99 per film. This choice is advisable because if she continues paying this amount for each individual movie, her total monthly costs will rise significantly. For example, if she has 8 days off in a month (on Saturdays and Sundays) and pays for each film on those days, the total expense would exceed that of the unlimited monthly plan priced at $7.99. And that doesn't include other potential viewing days or any public holidays that could allow her to watch more movies.
