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I am Lyosha [343]
3 years ago
13

What must be a factor of the polynomial function

Mathematics
1 answer:
saul85 [17]3 years ago
6 0
A^2 - ab + b^2 
This is the factoring formula 
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If you roll two six-faced dice together, you will get 36 possible outcomes. 4 pts 1. List all possible outcomes of the experimen
bezimeni [28]

Given:

Two dice are rolled together.

Total number of possible outcomes.

To find:

The list of total possible outcomes.

The probability of getting a sum of 11 in these outcomes.

The probability of getting a sum less than or equal to 4.

The probability of getting a sum of 13 or more.

Solution:

If two dice are rolled together, then the total number of possible outcomes is 36 and list of total possible outcomes is

S = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

Sum of 11 in these outcomes = {(5,6),(6,5),(6,6)} = 3

The probability of getting a sum of 11 in these outcomes is

P(\text{sum=11})=\dfrac{3}{36}

P(\text{sum=11})=\dfrac{1}{12}

Therefore, the probability of getting a sum of 11 in these outcomes is \dfrac{1}{12}.

Sum less than or equal to 4 = {(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)} = 6

The probability of getting a sum less than or equal to 4 is

P({sum\leq 4})=\dfrac{6}{36}

P({sum\leq 4})=\dfrac{1}{6}

Therefore, the probability of getting a sum less than or equal to 4 is \dfrac{1}{6}.

Sum of 13 or more = empty set because maximum sum is 12.

The probability of getting a sum of 13 or more is

P(sum\geq 13)=\dfrac{0}{36}

P({sum\geq 13})=0

Therefore, the probability of getting a sum of 13 or more is 0.

8 0
2 years ago
If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function
Rina8888 [55]

Answer:

Step-by-step explanation:

Multiplying a(x) and b(x) together results in a quadratic equation (a trinomial).  This trinomial looks like (a·b)(x) = (2)(x - 2)(x + 2).  Note that this is a "special product;"  (2)(x^2 - 4); there is no middle term.

7 0
3 years ago
Read 2 more answers
Can someone help me understand how to do this?
Crazy boy [7]

Answer:

1/3

Step-by-step explanation:

To get no solution, you want to get rid of x and leave an incorrect equation.

In this case, we will use 1/3x.

1/3x + 2 = 1/3x - 3

We subtract 1/3x on both sides. This will cause the 1/3x's to cancel out.

1/3x - 1/3x + 2 = 1/3x - 1/3x - 3

2 ≠ -3

As we know, 2 is not 3. Therefore, there is no solution if 1/3x is used.

6 0
2 years ago
Read 2 more answers
Neural tube defects are birth defects of the __________ and __________. A. neurons . . . umbilical cord B. brain . . . spinal co
raketka [301]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
Expression of "three fifths of a number b subtracted from thrice the same number" into mathematical symbol
liubo4ka [24]

Answer:

3b - \frac{3}{5} b  

Step-by-step explanation:

Let the number be "b"

So the expression would be:

3b - \frac{3}{5} b  

6 0
2 years ago
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