Answer:
a = 9
Step-by-step explanation:
expand (y - 3)(y² + 3y + 9)
= y³ + 3y² + 9y - 3y² - 9y - 27
compare the coefficients of like terms with
y³ + 3y² + ay - 3y² - ay - 27
ay = 9y and - ay = - 9y ⇒ a = 9
Answer:
$127.50
Step-by-step explanation:
To answer this you will need to figure out how many days each person is working each week based on their number of hours and how many hours they work. Use this to determine the number of dogs groomed and then multiply by the hourly rate.
Dana works 4 days (40/10) and Monique works 5 days (40/8).
Dana: 15 dogs per day x 4 days a week x $12.75 per dog = $765 a week.
Monique: 10 dogs per day x 5 days a week x $12.75 per dog = $637.50 a week.
765 - 637.50 = $127.50.
The difference is $127.50.
Answer:
Step-by-step explanation:
Given
-- Objective function
Constraints:
Required
Minimum value of E
To do this, we apply graphical method
See attachment for plots of and
From the attached plot, the point that satisfy is:
So, we have:
This gives:
She will use 8 centimeters of ribbon on each small gift.
72-24=48, 48 divided by 6 = 8
A.) 10x + 7.5 (0) =420
10x = 420
420 / 10 = 42
x = 42 > ( 42,0 )
10(0) + 7.5y = 420
7.5y = 420
420 / 7.25 = 56
y = 56 > ( 0,56 )
(42,0) (0,56)
B.) The x intercept means that there was 42 ,minutes spent biking. The y intercept means that there was 56 minutes spent in line skating.
C.) (21 ,28) - (14,37) - (28,18)
