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2 years ago

Write the polynomial function of least degree that has zeros of x=-i and x=1

Mathematics

1 answer:

stepan [7]2 years ago

6 0

Answer:

(x-1)(x^2 + 1)

Step-by-step explanation:

If the polynomial has two roots or zeros, then the least degree it can be is 2. But when x = -i is a root, generally x = i is a root too. Thus the degree here is 3. Using the roots, you can write the polynomial by finding a factor from each. The zeros are the solution to the factor. So if x = 1, it came from the factor x - 1. x = 1 is the solution because x - 1 = 0 is x = 1 solved.

When x = -i, i this is the result of a square root of a negative number. So x had the exponent 2. To write the factor for x = -i, you should write x^2 + 1. When solved x = +/-√-1 = +/- i.

The function is likely (x-1)(x^2 + 1).

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Suppose that the distribution of IQ's of North Catalina State University's students can be approximated by a normal model with m

konstantin123 [22]

Answer:

The required probability is 0.6517

Step-by-step explanation:

Consider the provided information.

North Catalina State University's students can be approximated by a normal model with mean 130 and standard deviation 8 points.

μ₁ = 130 and σ₁ = 8

Chapel Mountain University's students can be approximated by a normal model with mean 120 and standard deviation 10 points.

μ₂ = 120 and σ₂ = 10

As both schools have IQ scores which is normally distributed, distribution of this difference will also be normal with a mean of μ₁-μ₂ and standard deviation will be $\sqrt{\sigma_1^2+\sigma_2^2}$

Therefore,

μ = 130-120=10

$\sigma = \sqrt{8^2+10^2}=12.806$

Now determine the probability of North Catalina State University student's IQ is at least 5 points higher than the Chapel Mountain University student's IQ:

$z=\frac{\bar x-\mu}{\sigma}$

$z=\frac{5-10}{12.806}\approx-0.39$

Now by using the z table we find the z- score of -0.39 is 0.6517.

Hence, the required probability is 0.6517

6 0

2 years ago

Need answer please

jolli1 [7]

16.8. dhsjdjdjdjdjdjdjdhd

5 0

2 years ago

Read 2 more answers

Which is bigger 1/6 or 3/11?

NemiM [27]

Multiply both 1/6=11/66, 3/11=9/66. 1/6 is bigger.

8 0

2 years ago

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Randall wants to buy a pizza. He can select from 5 different sizes, 4 types of crust, and 12 toppings for his pizza. Which of th

hjlf

Answer:

240

Step-by-step explanation:

5x4x12=240

if you multiply the amount of sizes he can get times the amount of crust sizes he can get you get the pizza it's self (20)

now including the toppings (12) this means 20x12 gets you the amount of toppings on those induviduale pizza's.

Hope this helps!

Brainliest please!

Please fully rate!

Have a great day!

8 0

1 year ago

Read 2 more answers

Explain why please and make sure it is in full detail

Marysya12 [62]

Step-by-step explanation:

well,

(y - 7)² = (y - 7)(y - 7)

remember how to multiply 2 expressions ?

you have to multiply every term of one expression with every term of the other expression and sum the results all up (incl. considering their individual signs, of course).

so, when we do the multiplication, we get

(y - 7)(y - 7) = y×y - 7×y - 7×y + (-7)×(-7) =

= y² - 14y + 49

and that is clearly different to y² - 49

FYI

y² - 49 is the result of

(y - 7)(y + 7)

because

y×y + 7×y - 7×y + (-7)(7) = y² - 49

8 0

1 year ago

Read 2 more answers

Write the polynomial function of least degree that has zeros of x=-i and x=1​

Write the polynomial function of least degree that has zeros of x=-i and x=1