Answer:
c.
Step-by-step explanation:
because you take 12÷4 and the outcome turns out to be 3
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:
200
Step-by-step explanation:
Total number of people surveyed = 800
Number of people who like rock = 700
Number of people who like country = 300
Let the number of people who like both genres = x
Among the 700 people who like rock there are some people who like country as well likewise among the 300 people who like country there are some people who like rock as well. So those who like both genres are being counted twice, once in 700 and once in 300. So if we subtract the number of people who like genres from 700 or 300 we will get the total number of people as shown below:
i.e.
800 = 700 + 300 - x
x = 700 + 300 - 800
x = 200
This means, 200 people like both genres.
From we can also say 500 people like only rock, 100 people like only country and 200 people like both.