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guajiro [1.7K]
3 years ago
12

There are 12 appetizers; 4 are soups, 6 contain meat, and 2 do not. In how

Mathematics
2 answers:
Ahat [919]3 years ago
7 0
72 different orders, each soup can have a different meat and other* so take 4* 6* 3 because that is how many different combanations you can do
nalin [4]3 years ago
5 0
There can be two orders because after that you wouldn't have 3 different appetizers, only two.
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according to the fundemental theorem of algebra, how many roots exist for the polynomial function? f(x) = (x^3-3x+1)^2
Svetradugi [14.3K]

Answer:

6

Step-by-step explanation:

First, we can expand the function to get its expanded form and to figure out what degree it is. For a polynomial function with one variable, the degree is the largest exponent value (once fully expanded/simplified) of the entire function that is connected to a variable. For example, x²+1 has a degree of 2, as 2 is the largest exponent value connected to a variable. Similarly, x³+2^5 has a degree of 2 as 5 is not an exponent value connected to a variable.

Expanding, we get

(x³-3x+1)²  = (x³-3x+1)(x³-3x+1)

= x^6 - 3x^4 +x³ - 3x^4 +9x²-3x + x³-3x+1

= x^6 - 6x^4 + 2x³ +9x²-6x + 1

In this function, the largest exponential value connected to the variable, x, is 6. Therefore, this is to the 6th degree. The fundamental theorem of algebra states that a polynomial of degree n has n roots, and as this is of degree 6, this has 6 roots

3 0
3 years ago
Fraction from greatest to least 1/3, 1/6, 1/2
Vsevolod [243]
1/2 then 1/3 then 1/6
3 0
3 years ago
Read 2 more answers
Gene made a two-digit code. The first digit is odd. How many possible codes can he choose from?
mylen [45]
Digit 1:1,3,5,7, or 9.
Digit 2: 0,1,2,3,4,5,6,7,8 or 9.
4*10= 40 possible codes.
4 0
2 years ago
The ratio of boys to girls in the entire 6th grade is 3 to 2. Given this ratio, which two class compositions are possible?
gtnhenbr [62]

Answer:

<em>There's an infinite number of possible answers because there might be any multiplication of 3 for boys and any multiplication of 2 for girls. So, for example:</em>

<em>There might be 3 boys and 2 girls.</em>

<em>There might be 6 boys and 4 girls.</em>

<em>There might be 9 boys and 6 girls.</em>

<em>There might be 12 boys and 8 girls.</em>

<em>etc...</em>

<em>In each case the ratio stays the same - 3 : 2.</em>

<em>Of course there probably can't be more than a few dozens of people in one class, but theoretically we can raise the numbers up to infinite.</em>

Step-by-step explanation:<em>hope this help.</em>

7 0
3 years ago
Which graph best represents the function f(x) = 2x^2 -2
astraxan [27]

Answer:

The u equation, a parabola

Step-by-step explanation:

This is a quadratic equation, since we have a variable 'x' raised to second power.

The vertex can be found using the formula x=-b/2a when the parabola is written as y=ax2 + bx +c.

5 0
2 years ago
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