Answer:
x = 1 , 7
Step-by-step explanation:
Solution:-
- The given equation is as follows:
y = x^2 - 8x + 7
- We can solve the above equation by either making factors or by using Quadratic formula.
Factor Approach:
- Using the constant "7" at the end of the quadratic equation we will determine two integer multiples such that their additions/subtraction results in "-8".
- So the only factor of "7" are:
7 x 1 = 7
-7 x -1 = 7
- We see that addition/subtraction of first (7 , 1 ) does not results in "-8", However, the sum of ( -1 , -7 ) = -1 - 7 = -8. So the correct factors are ( -1 , -7 ). So we replace "-8x" with our factors "-1x" and "-7x":
x^2 -x -7x + 7 = 0
- Take common multiples out of pair of two terms:
x*(x-1) -7*(x-1) = 0
(x-7)*(x-1) = 0
- So we equate each term in bracket with "0" and evaluate the values of x:
(x-7) = 0 , x = 7
(x-1) = 0 , x = 1
- So the solution to the quadratic equation is:
x = 1 , 7
Answer:
A.)130 80
Step-by-step explanation:
1y/3x
-8x/1xy
answer:130 80
The symbolic representation of the conditional probability
![P(G'|O) = \frac{P(G'nO)}{P(O)}](https://tex.z-dn.net/?f=P%28G%27%7CO%29%20%20%3D%20%20%5Cfrac%7BP%28G%27nO%29%7D%7BP%28O%29%7D)
This is a conditional probability problem ; which can be expressed explicitly as ;
- The probability of not being a great hitter Given that the player is an outfielder
- Recall :
Probability of A given B is defined as ;
![P(A|B) = \frac{P(AnB)}{P(B)}](https://tex.z-dn.net/?f=P%28A%7CB%29%20%20%3D%20%20%5Cfrac%7BP%28AnB%29%7D%7BP%28B%29%7D%20)
Let :
Probability that a player is an outfielders = P(O)
Probability that a player is a Great hitter = P(G)
- Probability that a player is not a great hitter = P(G')
- Probability that a player is not a great hitter given that he is an outfielder = P(OnG')
Therefore, we have :
![P(G'|O) = \frac{P(G'nO)}{P(O)}](https://tex.z-dn.net/?f=P%28G%27%7CO%29%20%20%3D%20%20%5Cfrac%7BP%28G%27nO%29%7D%7BP%28O%29%7D)
Learn more : brainly.com/question/18153040
Answer:
726 children
242 adults
Step-by-step explanation:
a + c = 968
6c + 11a = 7018
Use Substitution: c = 968-a
6(968-a) + 11a = 7018
5808 - 6a + 11a = 7018
5a = 1210
a = 242
c = 968 - 242 = 726
Answer:
63 m²
Step-by-step explanation:
The diagram shows a parallelogram.
Area
= 9 x 7
= 63 m²