Answer:
-4y + 20
Step-by-step explanation:
4(-y+5)
What we need to do here is get rid of the parentheses, which can be achieved through multiplication.
This is another way of saying 4 times -y plus 4 times 5.
Let's break the the parentheses down into 2 separate formulas.
4(-y) and 4(5)
Now we can multiply these two together to get -4y and +20. When combined, we get -4y +20.
Solve for x:
x^9 = n x
Subtract n x from both sides:
x^9 - n x = 0
Factor x and constant terms from the left hand side:
-x (n - x^8) = 0
Multiply both sides by -1:
x (n - x^8) = 0
Split into two equations:
x = 0 or n - x^8 = 0
Subtract n from both sides:
x = 0 or -x^8 = -n
Multiply both sides by -1:
x = 0 or x^8 = n
Taking 8^th roots gives n^(1/8) times the 8^th roots of unity:
Answer: x = 0 or x = -n^(1/8) or x = -i n^(1/8) or x = i n^(1/8) or x = n^(1/8) or x = -(-1)^(1/4) n^(1/8) or x = (-1)^(1/4) n^(1/8) or x = -(-1)^(3/4) n^(1/8) or x = (-1)^(3/4) n^(1/8)
7 guests
It costs 5 dollars per guest, so divide 35 by 5
Answer:
=
+
+
Step-by-step explanation:
=multiple ways to climb a tower
When n = 1,
tower= 1 cm
= 1
When n = 2,
tower =2 cm
= 2
When n = 3,
tower = 3 cm
it can be build if we use three 1 cm blocks
= 3
When n = 4,
tower= 4 cm
it can be build if we use four 1 cm blocks
= 6
When n > 5
tower height > 4 cm
so we can use 1 cm, 2 cm and 4 cm blocks
so in that case if our last move is 1 cm block then will be
n —1 cm
if our last move is 2 cm block then will be
n —2 cm
if our last move is 4 cm block then will be
n —4 cm
=+ +
