For this case we must factor the following expression:
We take common factor -1, taking into account that
We factor the expression within the parenthesis, for this we look for two numbers that, when multiplied, result in -35 and when added, result in -2. These numbers are -7 and +5.
Thus, the factored expression is:
Finally we have:
Answer:
Option C
Answer:
x = -1 , y = 6
or (-1, 6)
Step-by-step explanation:
First solve for "y" in the second equation:
and now, use this result as a substitution for "y" in terms of "x" in the first equation:
Knowing the value of "x", now we place it in the substitution equation to find "y":
Answer:
(a) 10!
(b) 9!
(c) 2!9!
Step-by-step explanation:
(a)
Total number of members = 10
We need to line up the ten people.
Total number of ways to arrange n terms is n!. Similarly, total number of ways to line up the ten people is
Therefore the total number of ways to line up the ten people is 10!.
(b)
Let groom is immediate left of the bride it means both will sit together. So we need to arrange peoples for total 9 places (8 of others and 1 of bride and groom).
Therefore the number of ways to line up the ten people if the groom must be to the immediate left of the bride in the photo is 9!.
(c)
Let groom is immediate left of the bride it means both will sit together. So we need to arrange peoples for total 9 places (8 of others and 1 of bride and groom).
Bride and groom can interchange there sits.
Total number of ways to arrange bride and groom = 2!
Therefore the number of ways to line up the ten people if the groom must be next to the bride (either on her left to right side) is 9!2!.