Answer:
There are 360 possible different routes.
Step-by-step explanation:
Among the 4 locations, different orders are different routes, so the order is important.
This means that we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
How many different routes are possible?
4 locations from a set of 6. So
There are 360 possible different routes.
9514 1404 393
Answer:
(x, y) ⇒ (x -m, y -n)
Step-by-step explanation:
Reverse the arrow and solve for the x and y on the left:
(x +m, y +n) ⇒ (x, y)
This resolves to two relations:
x + m ⇒ x
x ⇒ x - m . . . . . subtract m
and
y + n ⇒ y
y ⇒ y - n . . . . . . subtract n
Putting these back together, we have ...
(x, y) ⇒ (x -m, y -n) . . . . . maps P'Q' to PQ
_____
The original translation was right m and up n. The reverse translation is left m and down n. That is what the rule shows.
Answer:
A
Step-by-step explanation:
Solve the inequality by simplifying the parenthesis with the distributive property. Then use inverse operations to isolate x.
1/6 (3-2x)<1/3x
1/6*3 - 1/6*2x < 1/3x
3/6 - 2/6x < 1/3x
1/2 - 1/3x < 1/3 x
1/2 < 1/3x + 1/3x
1/2 < 2/3x
1/2 * 3/2 < x
3/4 < x or x>3/4
3(-5)-9 = -24 plug in -5 for x
Answer:
14
Step-by-step explanation:
7 × 2 = 14
the number you thought of was 14
:)
