Answer:
x = 1/3, x = -1.
Step-by-step explanation:
2x(x + 2) + (x - 1)² = 2
Distribute the 2x into x + 2.
2x² + 4x + (x - 1)² = 2
Square (x - 1).
2x² + 4x + x² - x - x + 1 = 2
Combine terms.
2x² + x² + 4x - 2x + 1 = 2
Combine terms again.
3x² + 2x + 1 = 2
Subtract 2 from both sides.
3x² + 2x - 1 = 0
Factor.
(3x - 1)(x + 1) = 0.
Finding the x-values here is the same thing as finding the 0s, so set both of the expressions to 0.
3x - 1 = 0
Add 1 to both sides.
3x = 1
Divide by 3.
x = 1/3.
x + 1 = 0
Subtract 1 from both sides.
x = -1.
Answer:
2016 possible combinations
Step-by-step explanation:
7 x 6 x 4 x 4 x 3 = 2016
When finding available combinations, you just take all your numbers with the different options and multiply them :)
Answer:
last one
Step-by-step explanation:
the first one doesn't have any solution, the second one has infinite solutions.
To travel to Orlando is time=300/70=4.29 hours
x=hours traveller
Since there is 30 miles left in trip, the distance already traveled is 300-30=270
Set proportion
300/4.29=270/x
300x=(270)(4.29)
300x=1158.3
300/300x=1158.3/300
x≈3.86 hours ☆☆☆☆☆☆☆SOLUTION
