4x ≤ 12
x ≤ 3 <em>divided both sides by 4</em>
Graph: ←--------------------3 <em>(fill in the dot at 3 since it is "equal to")</em>
Interval Notation: (-∞, 3]
Answer: x ≤ 3
The 1st option is your answer,
because to solve c, the -11 and 11 = 0, so your left with adding 23 and 11, then you divide -4 on both sides to get the variable (x) by itself
And for f, you only need to divide -4 on both sides to get x by itself.
Answer for 3(4x-2) is 12x-6
Answer for 12x-2 is 24x
Well there are 12 marbles in total. If you select one green marble, you have 11 marbles in total. There are 4 blue marbles. So you have a 4/11 chance of selecting a blue marble or 36% probability of getting a blue marble.
Case 1: You have an Ace and a seven.
There are 4 ways to pick 1 Ace out of 4. There are 4 ways to pick 1 seven out of 4. -----> 4*4 = 16
There are 16 ways to be dealt an Ace and a seven.
Case 2: You have a two and a six.
In the same way there are 4*4=16 ways to be dealt a two and a six.
Case 3: You have a three and a five.
In the same way there are 4*4=16 ways to be dealt a three and a five.
Case 4: You have 2 fours.
There are 6 ways to get 2 fours out of 4. (4 choose 2)
Total number of outcomes = 16+16+16+6 = 54