2x+7=3x+3 is a linear equation with on solution
I'd personally go with A and C, The rest don't make too much sense. Don't count on my answer just yet though.
Answer:
5
Step-by-step explanation:
Put -2 where x is and do the arithmetic.
f(x) = 2x² -3
f(-2) = 2(-2)² -3 = 2(-2)(-2) -3 = 8 -3
f(-2) = 5
It is given in the question that
After being discounted 40%, a weather radio sells for $35.97.
It means the weather radio sells at a 60% of original price.
Let the original price be $x.
Therefore according to the question,
![60% \ of \ x = 35.97 \\ 0.6x = 35.97 \\ x = $59.95](https://tex.z-dn.net/?f=60%25%20%5C%20of%20%5C%20x%20%3D%2035.97%0A%5C%5C%0A0.6x%20%3D%2035.97%0A%5C%5C%0Ax%20%3D%20%2459.95)
Therefore the original price of the weather radio is $59.95.
Answer:
1) 1 element
2) 13 elements
3) 22 elements
4) 40 elements
Step-by-step explanation:
1) Only one element will have no tails: the event that all the coins are heads.
2) 13 elements will have exactly one tile. Basically you have one element in each position that you can put a tail in.
3) There are
elements that have exactly 2 tails. From those elements we have to remove the only element that starts and ends with a tail and in the middle it has heads only and the elements that starts and ends with a head and in the 11 remaining coins there are exactly 2 tails. For the last case, there are
possibilities, thus, the total amount of elements with one tile in the border and another one in the middle is 78-55-1 = 22
4) We can have:
- A pair at the start/end and another tail in the middle (this includes a triple at the start/end)
- One tail at the start/end and a pair in the middle (with heads next to the tail at the start/end)
For the first possibility there are 2 * 11 = 22 possibilities (first decide if the pair starts or ends and then select the remaining tail)
For the second possibility, we have 2*9 = 18 possibilities (first, select if there is a tail at the end or at the start, then put a head next to it and on the other extreme, for the remaining 10 coins, there are 9 possibilities to select 2 cosecutive ones to be tails).
This gives us a total of 18+22 = 40 possibilities.