What are the zeros of (x-2)(x^2-9)
1 answer:
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<u>ANSWER</u>
<u>EXPLANATION</u>
When a quadratic equation is in the vertex form,
the equation of axis of symmetry is simply
The given quadratic equation is
We can rewrite this as
We now compare to
We have
Therefore equation of axis of symmetry is:
Answer:
x = 7
Step-by-step explanation:
Four terms means four products, which are added up.
One term with an exponent:
One term with a coefficient of five, let's make it a like term:
One term with three factors:
One constant: 7
Our expression:
Answer:
The probability of rolling a seven or rolling an even number as the sum of the two dice is
Step-by-step explanation:
Given : Imagine you have a pair of six-sided dice.
To find : What's the probability of rolling a seven or rolling an even number as the sum of the two dice?
Solution :
Rolling a pair of six-sided dice,
(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)
(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)
(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)
(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)
(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)
(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)
Rolling a seven as the sum of the two dice are (1,6),(2,5),(3,4),(4,3),(5,2),(6,1)
Rolling an even number as the sum of the two dice are (1,1),(1,3),(1, 5),(2, 2),(2, 4),(2, 6) ,(3, 1),(3, 3),(3, 5),(4, 2),(4, 4),(4, 6),(5, 1),(5, 3),(5, 5),(6, 2),(6, 4),(6, 6).
Favorable outcome of rolling a seven or rolling an even number as the sum of the two dice are (1,6),(2,5),(3,4),(4,3),(5,2),(6,1), (1,1),(1,3),(1, 5),(2, 2),(2, 4),(2, 6) ,(3, 1),(3, 3),(3, 5),(4, 2),(4, 4),(4, 6),(5, 1),(5, 3),(5, 5),(6, 2),(6, 4),(6, 6) - 24
The probability is given by,
Therefore, the probability of rolling a seven or rolling an even number as the sum of the two dice is