All categories

1 year ago

PLEASE HELP ASAP! BRAINLIEST AND 5 STARS TO BEST/CORRECT RESPONSE(S).

Mathematics

1 answer:

Lunna [17]1 year ago

7 0

Answer:

b). (0, 4)

if you need an explanation, comment, and I will put one in for you :)

You might be interested in

In Problems 23–30, use the given zero to find the remaining zeros of each function

Talja [164]

Answer:

x = 2i, x = -2i and x = 4 are the roots of given polynomial.

Step-by-step explanation:

We are given the following expression in the question:

$f(x) = x^3 - 4x^2+ 4x - 16$

One of the zeroes of the above polynomial is 2i, that is :

$f(x) = x^3 - 4x^2+ 4x - 16\\f(2i) = (2i)^3 - 4(2i)^2+ 4(2i) - 16\\= -8i+ 16+8i-16 = 0$

Thus, we can write

$(x-2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16$

Now, we check if -2i is a root of the given polynomial:

$f(x) = x^3 - 4x^2+ 4x - 16\\f(-2i) = (-2i)^3 - 4(-2i)^2+ 4(-2i) - 16\\= 8i+ 16-8i-16 = 0$

Thus, we can write

$(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16$

Therefore,

$(x-2i)(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16\\(x^2 + 4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16$

Dividing the given polynomial:

$\displaystyle\frac{x^3 - 4x^2 + 4x - 16}{x^2+4} = x -4$

Thus,

$(x-4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16$

X = 4 is a root of the given polynomial.

$f(x) = x^3 - 4x^2+ 4x - 16\\f(4) = (4)^3 - 4(4)^2+ 4(4) - 16\\= 64-64+16-16 = 0$

Thus, 2i, -2i and 4 are the roots of given polynomial.

4 0

2 years ago

Please help me solve this

Oduvanchick [21]

$\dfrac{x}{ - 3} < - 4 \\\\ x > 12$

P. S. The inequality sign changed or flipped when there's a negative figure involved.

Hope this helps. - M

3 0

3 years ago

There were 165 donors last year. Find the number of donors this year using each of the expressions. Do you get the same number w

pochemuha

Answer:

We need to see the expressions given

Step-by-step explanation:

4 0

3 years ago

Show that area under multivariate normal distribution over the whole range in unity. Find characteristics function of multivaria

kenny6666 [7]

Answer:

here is the answer

Step-by-step explanation:

you may please search it

8 0

3 years ago

I need help with this I got -10 is it right??

Dahasolnce [82]

Answer:

-14

Step-by-step explanation:

difference between -20 and -5 = 15

15 x 2/5 = 30/5 = 6

-20 + 6 = -14

7 0

2 years ago