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3 years ago

A third degree polynomial equation with rational coefficients that has roots -4 and 2+i

1 answer:

8 0

If one of the roots is 2+i, another must be 2-i. We can express this polynomial as (x+4)(x-2-i)(x-2+i). This expands to $x^3-11x+20$ .

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5xy4 25x2y 5x2y2 What is the greatest common factor (GCF) of the monomials shown above?

FinnZ [79.3K]

Answer:

5xy

Step-by-step explanation:

I'm going out on a limb and assuming exponents.

$5xy^{2} \\25x^{2}y \\5x^{2} y^{2}$

We can note that 5 is a common factor for the coefficients. All the terms share at least one x. All the terms share all least one y. So the GCF of these monomials is 5xy.

6 0

3 years ago

Red

Blizzard [7]

Answer:

4 outcomes

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3 years ago

A package of 6 pairs of insulated gloves costs 38.34. What is the unit price of the pairs of gloves?

devlian [24]

Answer:

6.39

Step-by-step explanation:

divide the total cost by the total amount of the item for the unit price:

38.34/6=6.39

4 0

3 years ago

Last year, a person wrote 139 checks. Let the random variable x represent the number of checks he wrote in one day, and assume

viktelen [127]

Answer:

Mean = 0.38082 checks per day

Variance = 0.38082

Standard deviation = 0.61711

Step-by-step explanation:

In a Poisson distribution, the variance (V) is equal to the mean value (μ), and the standard deviation (σ) is the square root of the variance.

A year has 365 days,, if 139 checks were written during a year, the mean number of checks written per day is:

$E(x)=\mu=\frac{139}{365}\\ \mu=0.38082\ checks/day$

Therefore, the variance and standard deviation are, respectively:

$V=\mu=0.38082\\\sigma=\sqrt{V}=\sqrt{0.38082}\\ \sigma =0.61711$

4 0

4 years ago

Express how you know that the sum of any two consecutive triangular numbers is a square number.

maw [93]

Answer: Beacause 2 triangles make a square

Step-by-step explanation: 2 triangles make a square so it must be the same with numbers? -an 8th grader(me) [lol i'm not that smart]

8 0

4 years ago