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3 years ago

A 4th degree polynomial function has zeros at 3 and 5-i. Can 4+i also be a zero of the function?

1 answer:

8 0

Sure, provided that the coefficients of the polynomial are complex, and not strictly real.

If you require that the coefficients of the polynomial be real, then the answer would be no. For such a polynomial, any complex roots occur in conjugate pairs, so if $5-i$ is a root, then so must be $5+i$ .

A degree-4 polynomial can have up to four distinct roots, so if the coefficients are all real, then the remaining fourth root must be real.

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Could someone answer and explain these please? Thank you!

Oksana_A [137]

Answer 1:

It is given that the positive 2 digit number is 'x' with tens digit 't' and units digit 'u'.

So the two digit number x is expressed as,

$x=(10 \times t)+(1 \times u)$

$x=10t+u$

The two digit number 'y' is obtained by reversing the digits of x.

So, $y=(10 \times u)+(1 \times t)$

$y=10u+t$

Now, the value of x-y is expressed as:

$x-y=(10t+u)-(10u+t)$

$x-y=10t+u-10u-t$

$x-y=9t-9u$

$x-y=9(t-u)$

So, $9(t-u)$ is equivalent to (x-y).

Answer 2:

It is given that the sum of infinite geometric series with first term 'a' and common ratio r<1 = $\frac{a}{1-r}$

Since, the sum of the given infinite geometric series = 200

Therefore, $\frac{a}{1-r}=200$

Since, r=0.15 (given)

$\frac{a}{1-0.15}=200$

$\frac{a}{0.85}=200$

$a=0.85 \times 200$

a=170

The nth term of geometric series is given by $ar^{n-1}$ .

So, second term of the series = $ar^{2-1}$ = ar

Second term = $170 \times 0.15$

= 25.5

So, the second term of the geometric series is 25.5

Step-by-step explanation:

8 0

3 years ago

A store is having a sale on chocolate chips and walnuts. For 3 pounds of chocolate chips and 5 pounds of walnuts, the total cost

mrs_skeptik [129]

Answer:

Step-by-step explanation:

3c + 5w = 16

6c + 2w = 22

-6c - 10w = -32

6c + 2w = 22

-8w = -10

w = 10/8 = 5/4 = $1.25 per lb

3c + 5(1.25) = 16

3c + 6.25 = 16

3c = 9.75

c = $3.25 per lb

5 0

3 years ago

Mari has 39 square feet of patio bricks. Each square brick has sides 1 foot long. What is the greatest perimeter of a rectangle

Margaret [11]

I think you would do 39 x 4 because if the SQUARE brick has sides 1 foot long, you count up the sides and get 4 feet. She has 29 square feet of patio bricks so you would multiply 39 x 4. I don't know if this is correct. Hopefully I helped!

3 0

3 years ago

a jet travels 400 miles in 5 hours at this rate how far could the jet fly in 14 hours what is the rate of speed of the jet

k0ka [10]

I got 1,120 !!!!!!!!!

4 0

3 years ago

Read 2 more answers

Simplify

IRINA_888 [86]

Answer:

Final answer is ---> -4