Answer:
He was incorrect
Step-by-step explanation:
3x+5(3x+6)
multiply whats inside the parenthesis by whats outside
3x+15+30
he forgot to multiply 6x5 too.
Divide both sides by 2 for the first one.
2c/2>2/2
c>1
simplify both sides for the second 1
1/6d>=1
6*(1/6d).=(6)*(1)
d>=6
For the last one
subtract 9 from both sides
r+9-9<=23-9 so that r<=14
Hope this helps!
Answer: Satisfied for n=1, n=k and n=k+1
Step-by-step explanation:
The induction procedure involves two steps
First is
Basic Step
Here we consider that for the value n=1, there is one car and it will always make the full circle.
Induction Step
Since basic step is satisfied for n=1
Now we do it for n=k+1
Now according to the statement a car makes full circle by taking gas from other cars as it passes them. This means there are cars that are there to provide fuel to the car. So we have a car that can be eliminated i.e. it gives it fuels to other car to make full circle so it is always there.
Now ,go through the statement again that the original car gets past the other car and take the gas from it to eliminate it. So now cars remain k instead of k+1 as it's fuel has been taken. Now the car that has taken the fuel can make the full circle. The gas is enough to make a circle now.
So by induction we can find a car that satisfies k+1 induction so for k number of cars, we can also find a car that makes a full circle.
Answer:
Andrew
Step-by-step explanation:
Abby:
Since red cards are negative, a red 9 would represent the number -9. And because black cards are positive, a black 6 would represent the number 6. To get the sum, we add the two numbers together:
-9 + 6
That gives us a total of -3.
Ashley:
We can do the same thing as before. A black seven would represent 7 and a red 8 would represent -8. Next we again add them together:
7 + (-8)
That gives us a total of -1.
Andrew:
The red 4 is -4, while the black 4 is 4:
-4 + 4
That gives us a total of 0.
Anna:
Anna has a red 8 which represents -8 and another red, a three, which would represent -3. We can add the two to get:
-8 + (-3)
That gives us a total of -11.
In all, Andrew has the highest sum of 0, which means he won the game.
