a science quiz has eight multiple choice questions with five choices for each. Find the total number of ways to answer the quest
1 answer:
Answer:
390625
Step-by-step explanation:
The questions are all independent -- the answer on one question does not limit the number of possible answers on another question.
The quiz has 5 choices for each question, so there are
ways to answer the quiz questions.
Notice that this could be written . You could say that the number of ways to answer the questions is
Use a calculator to find
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Answer:
63 Jelly Beans
Step-by-step explanation:
The unknown is the number of jelly beans originally in the bag or x
First he had x jelly beans
The he ate one-third of them
He then ate 16 more jelly beans
This was equal to 37 jelly beans
This is the equation
Now solve for x
Subtract 16 from both sides
Multiply both sides by 3
63 Jelly Beans
Answer:
The polynomial function is
Step-by-step explanation:
A polynomial function is completely determined by its roots, up to a constant factor. So, if we want that ,
and
be roots of the polynomial P, we can write it as
Now, notice that the factor has real coefficients, while the other one don't. So, we need to ‘‘eliminate’’ the complex coefficients that will appear. This can be done adding other complex root to the polynomial: the conjugate of
: 2-3i. Then,
Expanding the above expression we obtain the desired polynomial
Recall that P(x) must have three roots, and this implies that P has at least degree 3. As we had to add a new root in order to obtain real coefficients, the degree of P must be at least 4. With this reasoning we assure the minimal degree.