Answer:
x = 2 or x = 1 or x = 0 or x = -1 or x = -2
Step-by-step explanation:
Solve for x:
x^5 - 5 x^3 + 4 x = 0
The left hand side factors into a product with five terms:
x (x - 2) (x - 1) (x + 1) (x + 2) = 0
Split into five equations:
x - 2 = 0 or x - 1 = 0 or x = 0 or x + 1 = 0 or x + 2 = 0
Add 2 to both sides:
x = 2 or x - 1 = 0 or x = 0 or x + 1 = 0 or x + 2 = 0
Add 1 to both sides:
x = 2 or x = 1 or x = 0 or x + 1 = 0 or x + 2 = 0
Subtract 1 from both sides:
x = 2 or x = 1 or x = 0 or x = -1 or x + 2 = 0
Subtract 2 from both sides:
Answer: x = 2 or x = 1 or x = 0 or x = -1 or x = -2
Since the object is a cube, times 42 three times by itself. You have to do this because it is length x width x height. 42 x 42 x 42. The answer you're looking for is 74,088 cubic inches because it is three-dimensional.
Answer:
9.9
use the special triangle formula or use cosine to find BC
Answer:
Y=6x-4
Step-by-step explanation:
Y=mx+b
in this cace we have m- the slope
Y=6x+b
now we can plug in the coordinates to solve for b- the y intercept
(1,2) 1 being the x value, and 2 being the y value
2= 1·6+b
2=6+b
-4=b
now we take our previous equation, and add to it
Y=6x-4
Do you remember when you were learning about
Least Common Multiple (LCM) ? And you were
wondering what on Earth you would ever need it for ?
THIS IS IT !
The amount of time after 8 PM when the lights will flash
together again is the LCM of 20 seconds and 30 seconds.
Do you remember how to find it ?
... When 20 is prime-factored, you have 2 · 2 · 5 .
... When 30 is prime-factored, you have 2 · 3 · 5 .
... So the Least Common Multiple of 20 and 30 is 2 · 2 · 3 · 5 = 60 .
The lighthouses will flash together again in 60 seconds after 8 PM.
That'll be 8:01 PM.
