Alejandra's Tapas Bar offers a menu consisting of $9$ savory and $5$ sweet dishes. You can also get a mix-and-match plate consis
1 answer:
Answer:
45
Step-by-step explanation:
Given that the number of savory dishes is 9 and the number of sweet dished is 5.
Denoting all the 9 savory dishes by , and all the sweet dishes by
.
The possible different mix-and-match plates consisting of two savory dishes are as follows:
There are 9 plates with from sweet plates which are
There are 9 plates with from sweet plates which are
Similarly, there are 9 plated for each and
Hence, the total number of the different mix-and-match plates consisting of two savory dishes
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Now, recall Descartes Rule of Signs. Check the picture below.
the +x part, gives us the positive Real zeros, and it depends on how many times the sign changes from term to term, notice in the picture, it changed 3 times, so the positive real ones are 3, or 3-2, namely 1, so 3 or 1.
the negative real ones, come from using -x as the argument on f(x), and as you can see in the picture, there was only 1 sign change, meaning the negative real zeros are only 1.
since, based on the fundamental theorem of algebra the polynomial has 4 roots at most then,
3 positive real ones, and 1 negative real one, no complex ones
or
1 positive real one, and 1 negative real one, and 2 complex ones
bear in mind that complex always come in pairs, never alone.
the +x part, gives us the positive Real zeros, and it depends on how many times the sign changes from term to term, notice in the picture, it changed 3 times, so the positive real ones are 3, or 3-2, namely 1, so 3 or 1.
the negative real ones, come from using -x as the argument on f(x), and as you can see in the picture, there was only 1 sign change, meaning the negative real zeros are only 1.
since, based on the fundamental theorem of algebra the polynomial has 4 roots at most then,
3 positive real ones, and 1 negative real one, no complex ones
or
1 positive real one, and 1 negative real one, and 2 complex ones
bear in mind that complex always come in pairs, never alone.
Answer:
<u>option 1</u>
Step-by-step explanation:
The question is as shown in the attached figure.
From the figure, we can deduce that:
∠U ≅ ∠X and ∠W ≅ ∠Z and ∠V ≅ ∠Y
So, ΔUWV similar to ΔXZY
But it is required to know " How can the triangles be proven similar by the SSS similarity theorem? "
So, we need to prove the corresponding angles are proportion
With the help of the previous corresponding angles.
So, we need to show that the ratios are equivalent.
So, the answer is <u>option 1</u>
