Answer:
20.1
Step-by-step explanation:
The probability of getting heads while flipping a coin for three times is 1/2
<u>Explanation:</u>
When a coin is flipped then there are two possible outcomes.
We can either get a heads or a tail.
If a coin is flipped three times and the possibility of getting heads would be 3
Total number of outcomes would be 6 ( 2 possible outcomes X 3 times toss)
Therefore, probability of getting heads would be = 3/6
= 1/2
Therefore, the probability of getting heads while flipping a coin for three times is 1/2
Answer:
The solution to the system of equation would be the two order pairs (2,10) and (-1,16)
Explanation:
The solution means the value of x that satisfies both equations.
Therefore, we will equate the two equations given and solve for x.
The first is: y = x^2 - 3x + 12
The second is : y = -2x + 14
Equate both and solve for x as follows:
x^2 - 3x + 12 = -2x + 14
x^2 - 3x + 2x + 12 - 14 = 0
x^2 - x - 2 = 0
(x-2)(x+1) = 0
either x = 2 and y = (2)^2 - 3(2) + 12 = -2(2) + 14 = 10
or x = -1 and y = (-1)^2 - 3(-1) + 12 = -2(-1) + 14 = 16
Therefore, the solution to the system of equation would be the two order pairs (2,10) and (-1,16)
Hope this helps :)
Since the first term in the equation is

, you know that each group you make will have to have an x in it. Now, you need to figure out what times what equals 7 and adds up to 8. You can list all of the numbers that multiply to seven until you find the right numbers.
-1 x -7
1 x 7
1 and 7 add to eight and multiply to seven, so those will be the numbers in your groups. This makes your factored groups
(x + 1)(x + 7).