The x intrercepts is where the function crosses the x axis; In other words, it is where the output of the function is 0.
In a quadratic, you can start by factoring, if it’s unable to be factored then use the quadratic formula. Also, it is good to use the discriminate.
D= Discrimminate
D>0 2 real solutions
D=0 1 real solution
D<0 2 imaginary solutions.
The discrimminate is the equation/expression under the radical of the quadratic formula. With this formula, it’s not factorable. Using the discriminate it is also seen, as you’ll get a negative in the square root. This is imagenary because you cannot take the root of a negative value, which is why “i” is used to represent the square root of negative one.
Answer:
T = 7.5
Step-by-step explanation:
One table = 4 students
? table = 30 students
To get the answer we criss-cross
30 * 1 = 4T(amount of table)
4T = 30
T = 30/4
T = 7.5
There should be 8 tables but the last table has 2 people sitting on it rather than 4.
You have to try to determine the sequence, and you try two basic kind of sequences: aritymethic and geometric.
In aritmetic sequeces the relationships is that the difference between any adjacent terms is constant.
For example
´Number of term (n) Term, An
1 7
2 11
3 15
4 19
Then the relationship between adjacent terms is 19 - 15 = 4 = 15 -11 = 4 = 11 - 7 = 4.
You can find, then, a general expression that relates any term with its position.
It is An = 7 + (n-1)*4
In geometric sequences the relationship is found dividing two adjacent terms, because the ratio is constant.
For example:
Number of term Term
1 10
2 20
3 40
4 80
You can then find the relation as: 20/10 = 2 = 40/20 = 2 = 80/40 = 2.
In this case the general term is An = 10 * 2^ (n-1)
