From the double-angle identity,
we can rewritte our given equation as:
By factoring 2cosx on the left hand side, we have
This equation has 2 solutions when
From equation (A), we obtain
and from equation (B), we have
On the other hand, we can find one more solution from the original equation by substituting x=0, that is,
then, x=0 is another solution. In summary, we have obtained the following solutions:
However, the intersection of the last set is empty. So the unique solution is x=0 as we can corroborate on the following picture:
Therefore, the solution set is: {0}
1/4, 8/15, 6/5
One way to figure this out is to divide the fractions and find which number is bigger
Or you should know 1/4= .25 , 8/15 is around half or .5 and 6/5 the numerator is larger than the denominator, so it would be bigger than 1 <span />
Answer:
710,000
Step-by-step explanation:
P(S) = Probability of Smash = 0.05 (5%)
P(M) = Probability of Modest = 0.5 (50%)
P(F) = Probability of Flop = 0.45 (45%)
Use the discrete random variable model,
E(X) = (0.05 * 5.2) + (0.5 * 0.9) + (0.45 * 0)
= 0.26 + 0.45 + 0 = 710,000
<span>The <u>correct answers</u> are:
Given; prove; statements; and reasons.
Explanation:
The <u>given</u> is important information we are given at the beginning of the proof that we will use in constructing the proof.
The "<u>prove</u>" is the statement we are trying to prove.
The <u>statements </u>are the steps we use to get from our given to what we're trying to prove.
The <u>reasons</u><span> are the theorems, conjectures, properties, and corollaries we use to justify the steps we take in the statements part.</span></span>
