Answer:
7. 4^2 = 6
8. 7^2 = 49
9. 6^4 =1296
10. 1^2 = 1
11. 5^3 =125
12. 1^3 =1
Step-by-step explanation:
Step-by-step explanation:
The probability of not selecting green or yellow marble is equal to the probability of selecting red and blue marble
n(S) =17
n(A)=5 (red)
n(B)=6 (blue)
answer is 5+6/17
=11/17
Step-by-step explanation:
Take the first derivative


Set the derivative equal to 0.




or

For any number less than -1, the derivative function will have a Positve number thus a Positve slope for f(x).
For any number, between -1 and 1, the derivative slope will have a negative , thus a negative slope.
Since we are going to Positve to negative slope, we have a local max at x=-1
Plug in -1 for x into the original function

So the local max is 2 and occurs at x=-1,
For any number greater than 1, we have a Positve number for the derivative function we have a Positve slope.
Since we are going to decreasing to increasing, we have minimum at x=1,
Plug in 1 for x into original function


So the local min occurs at -2, at x=1
Answer: x = -3
Step-by-step explanation:Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
-x - 3 = -1 • (x + 3)
Equation at the end of step 1 :
Step 2 :
Solving a Single Variable Equation :
2.1 Solve : -x-3 = 0
Add 3 to both sides of the equation :
-x = 3
Multiply both sides of the equation by (-1) : x = -3
One solution was found :
x = -3
1 kilogram = 2.205 pounds
5 kg * 2.205 lbs = 11.0231 pounds
Round to pounds = 11
Round to tenths/1 decimal = 11
Round to hundredths/2 decimals = 11.02