How do you evaluate 9 p 7?

Help me out! I always mark brainliest. Unless of course, it is incorrect or inadequate. Please include how you did the problem.

Charra [1.4K]

If 2 + 5i is a zero, then by the complex conjugate root theorem, we must have its conjugate as a zero to have a polynomial containing real coefficients. Therefore, the zeros are -3, 2 + 5i, and 2 - 5i. We have three zeros so this is a degree 3 polynomial (n = 3).
f(x) has the equation
f(x) = (x+3)(x - (2 + 5i))(x - (2 - 5i))
If we expand this polynomial out, we get the simplest standard form
f(x) = x^3-x^2+17x+87
Therefore the answer to this question is f(x) = x^3-x^2+17x+87

5 0

3 years ago

I NEED HELP WITH THIS <br> Q1

levacccp [35]

Answer:

$\frac{1}{4} (x-5)=13$

Step-by-step explanation:

So when we multiply this is what we get:

$\frac{x-5}{4}=13$

then we multiply the 4 by 13:

$x-5=52$

then after that we add 52+5 and we get:

$x=57\\$

4 0

2 years ago

Read 2 more answers

A radioactive substance decreases in the amount of grams by one-third each year. If the starting amount of the

katovenus [111]

Answer:

The sequence is geometric. The recursive formula is $a_{n}=2/3a_{n-1}$

Step-by-step explanation:

In order to solve this problem, you have to calculate the amount of the substance left after the end of each year to obtain a sequence and then you have to determine if the sequence is arithmetic or geometric.

The substance decreases by one-third each year, therefore:

After 1 year:

$1452-\frac{1}{3}(1452)$

Using 1452 as a common factor and solving the fraction:

$1452(1-\frac{1}{3})=1452(\frac{2}{3})=968$

You can notice that in general, after each year the amount of grams is the initial amount of the year multiplied by 2/3

After 2 years:

$968(\frac{2}{3})=\frac{1936}{3}$

After 3 years:

$\frac{1936}{3}(\frac{2}{3})=\frac{3872}{9}$

The sequence is:

1452,968,1936/3,3872/9....

In order to determine if the sequence is geometric, you have to calculate the ratio of two consecutive terms and see if the ratio is the same for all two consecutive terms. The ratio is obtained by dividing a term by the previous term.

The sequence is arithmetic if the difference of two consecutive terms is the same for all two consecutive terms.

-Calculating the ratio:

For the first and second terms:

968/1452=2/3

For the second and third terms:

1936/3 ÷ 968 = 2/3

In conclussion, the sequence is geometric because the ratio is common.

The recursive formula of a geometric sequence is given by:

$a_{n}=ra_{n-1}$

where an is the nth term, r is the common ratio and an-1 is the previous term.

In this case, r=2/3

7 0

3 years ago

$18.39 is what percent of $329.64?

pickupchik [31]

18.39 is 5.58% of 329.64.

We have to find that 18.39 is what percent of 120?

First, make the assumption that 329.64 is 100% as it is our output value.

We next represent the value we seek with x, therefore

100% = 329.64

And, x% = 18.39

Now, we get pair of simple equations

100% = 329.64 ........(1)

x% = 18.39 ........(2)

Now by simply dividing equation 1 by equation 2 and note of the fact that the LHS of both equations have the same unit (%);

100% / x% = 329.64 / 18.39

Taking the reciprocal of both sides, we get

x% / 100% = 18.39 / 329.64

or x = 5.58%

Hence, 18.39 is 5.58% of 329.64.

To learn more about percentages, visit: brainly.com/question/14319057

#SPJ9

6 0

2 years ago

#2 please help find the correct answer.

STatiana [176]

Answer:

Mean = Mean is all of the numbers added up and divided by the amount of numbers you have added up. Therefore its 414 ÷ 15 = 27.6

Mode = Most common number = 35

Range = Largest number - Smallest number

40 - 5 = 35

Median = 32 (Middle number)

8 0

3 years ago