41. Degree 3 = x^3 (maximum power in the equation)

Zeros: -1, 1, 3

(x-1)(x+1)(x-3)=f(x) <--- expand as necessary

44. Zeros: -4, 0, 2

(x+4)x(x-2)= f(x) <--- expand as necessary

47. Multiplicity is how many times a particular number is 0 for a given function.

(x+1)(x-1)^3(x-2)^3 <-- not too sure about this one, google definition of multiplicity?

Hope I helped :)

8 0

3 years ago

A: {71,73,79,83,87} B:{57,59,61,67}

Jobisdone [24]

Answer:

$\frac{3}{5}$ .

Step-by-step explanation:

We have been given two sets as A: {71,73,79,83,87} B:{57,59,61,67}. We are asked to find the probability that both numbers are prime, if one number is selected at random from set A, and one number is selected at random from set B.

We can see that in set A, there is only one non-prime number that is 87 as it is divisible by 3.

So there are 4 prime number in set A and total numbers are 5.

$P(\text{Prime number from A})=\frac{4}{5}$

We can see that in set B, there is only one non-prime number that is 57 as it is divisible by 3.

So there are 3 prime number in set B and total numbers are 4.

$P(\text{Prime number from B})=\frac{3}{4}$

Now, we will multiply both probabilities to find the probability that both numbers are prime. We are multiplying probabilities because both events are independent.

$P(\text{Prime number from A and B})=\frac{4}{5}\times \frac{3}{4}$

$P(\text{Prime number from A and B})=\frac{1}{5}\times \frac{3}{1}$

$P(\text{Prime number from A and B})=\frac{3}{5}$

Therefore, the probability that both numbers are prime would be $\frac{3}{5}$ .

4 0

3 years ago

The diagonals of a square are

ehidna [41]

Answer: A square has two diagonals. Each one is a line segment drawn between the opposite vertices (corners) of the square. The diagonals have the following properties: The two diagonals are congruent (same length).

Step-by-step explanation:

7 0

2 years ago

A construction crew is lengthening a road. Let y represent the total length of the road (in miles). Let x represent the number o

Bumek [7]

I believe the answer is 57 divided by 5

7 0

3 years ago