Answer:
2x⁴ - 20x² - 78
To factor the expression look for the LCM of the numbers
LCM of the numbers is 2
Factorize that one out
That's
2( x⁴ - 10x² - 39)
Hope this helps
<u>Construct potential hypotheses</u><u> or research questions to relate the </u><u>variables </u><u>in each of the following examples - </u>
<u>Political party and support of the affordable care act -</u>
- Given this, there can be a relationship between the ideological group and the support of the moderate consideration act.
- that various ideological groups may support various types of government disability conspiracies and might have various goals.
- A few gatherings might focus on a list of topics or problems and might provide serious thought at some random time.
- which might facilitate the implementation of the Affordable Care Act, while others would be gradually forgiving toward such arrangements.
- The implementation and success of the Affordable Care Act may depend on the rise of certain ideological movements.
and their ability to express what they think about the Act's purpose.
Learn more about hypotheses
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draw a perpendicular line from the directrix passing through the focus, this will be the line of symmetry.
The vertex(h, k) will be located on the line half way between the focus and directrix.
The distance from the focus to the vertex is called the focal length, call it a. The then equation is
(x - h)^2 = 4a(y - k)
the equation can be manipulated to
y = 1/4a(x - h)^2 + k
hope it helps
Answer:
<h2>There is a 9% of chances that all three selections are apples.</h2>
Step-by-step explanation:
We know that there are 6 apples, 5 oranges and 1 pear, which gives a total of 12 fruits, that's total number of possible outcomes, the denominator of the simple probability.
Now, his friend selects three fruits with three trials without replacement, that means we need to find the probability of each even and then multiply them, because they are independent events.

Notice that we calculated the total probability using the same expression. The important thing is that you need to decrease the number of events and the total number of outcomes at each selection, because after his friends picks one apple, he doesn't put it back in the bag.
Therefore, there is a 9% of chances that all three selections are apples.
(We multiplies the number by 100 to express it in percentage)