Answer:
Sammy can make 9 bows.
Step-by-step explanation:
3 feet of Ribbon
1/3 for each bow
1/3 + 1/3 +1/3 = 3/3 or 1 so she can make 3 bows out of one foot of ribbon
so if you repeat this than you should get 9 bows out of three feet of ribbion.
I think it would be the second graph
Its {3, 3, 6, 7, 9}
because the difference in values of 6 and the other numbers are the same as difference between 5 and the other numbers in { 2, 2, 5, 6, 8}
Answer:
2.44
Step-by-step explanation:
Given: x³ + 2x² - 5ax - 7 and x³ + ax² - 12x + 6
Also, R1 + R2 = 6
in order to find the value of a:
Let p(x) = x³ + 2x² - 5ax - 7 and q(x) = x³ + ax² - 12x + 6
Using remainder theorem i.e if a polynomial p(x) is divisible by polynomial of form x - a then remainder is given by p(a).
Then,
R1 = p( -1 ) = (-1)³ + 2(-1)² - 5a(-1) - 7 = -1 + 2 + 5a - 7 = 5a - 6
R2 = q( 2 ) = 2³ + a(2)² - 12(2) + 6 = 8 + 4a - 24 + 6 = 4a - 10
Now,
R1 + R2 = 6
5a - 6 + 4a - 10 = 6
9a = 22
a=2.44
Therefore, Value of a is 2.44