MATHEMATICS HIGH SCHOOL

State how many imaginary and real zeros the function has.f(x) = x5 + 7x4 + 2x3 + 14x2 + x + 7
A. 3 imaginary; 2 real
B. 4 imaginary; 1 real
C. 0 imaginary; 5 real
D. 2 imaginary; 3 real

Answers

Answer 1
Answer:

Answer:

B. 4 imaginary; 1 real

Step-by-step explanation:

Given the polynomial:

x^5 + 7*x^4 + 2*x^3 + 14*x^2 + x + 7

it can be reordered as follows

(x^5 + 2*x^3 + x ) + (7*x^4  + 14*x^2 + 7)

Taking greatest common factor at each parenthesis

x*(x^4 + 2*x^2 + 1) + 7*(x^4  + 2*x^2 + 1)

Taking again the greatest common factor

(x + 7)*(x^4 + 2*x^2 + 1)

Replacing x^2 = y in the second parenthesis

(x + 7)*(y^2 + 2*y + 1)

(x + 7)*(y + 1)^2

Coming back to x variable

(x + 7)*(x^2 + 1)^2

There are two options to find the roots

(x + 7) = 0

or

(x^2 + 1)^2 = 0 which is the same that (x^2 + 1) = 0

In the former case, x = -7 is the real root.  In the latter, (x^2 + 1) = 0 has no real solution. Therefore, there is only 1 real root in the polynomial.

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5. The recent electric bills for the Cox family were as follows: September, 87.55; October, 97.34; November, $100.44; and December, $156.88. What's their average monthly electric bill cost?​

Answers

Answer:

$110.55.

Step-by-step explanation:

To find the average monthly electric bill cost for the Cox family, you need to add up the costs for each month and then divide the sum by the number of months.

Here are the steps:

1. Add up the costs for each month:

- September: $87.55

- October: $97.34

- November: $100.44

- December: $156.88

The sum of these costs is $87.55 + $97.34 + $100.44 + $156.88 = $442.21.

2. Determine the number of months. In this case, there are 4 months.

3. Divide the total cost by the number of months to find the average:

Average monthly electric bill cost = $442.21 ÷ 4 = $110.55.

Therefore, the Cox family's average monthly electric bill cost is $110.55.

Answer:

Their average monthly electric bill is at 110,55

Step-by-step explanation:

To get the awnser you have to add all the numbers together, then you have to devide the number yoy got with how many number there are.

The pay, P, at a certain job is calculated by the formula P=Bh, where b is the base pay and h is the number of hours worked. if an employee works 40 hours a week, the formula changes to P=40B+1.58(h-40). if tom had a base pay of $6.35 and worked 28 hours, what would be his pay for the week?

Answers

If you would like to know the Tom's pay for the week, you can calculate this using the following steps:

P = B * h
P ... the pay
B ... the base pay
h ... the number of hours worked

B = $6.35
h = 28 hours
P = B * h = $6.35 * 28 hours = $177.8

Tom's pay for the week would be $177.8.

Write all the factors of 24:

Answers

The factors are just numbers that can be multiplied to receive the number that is given.

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.

1 × 24 = 24
2 × 12 = 24
3 × 8 = 24
4 × 6 = 24
1,2,3,4,6,8,12,24 are all factors of 24. factors are two numbers that multiply together to get your answer. for example 1*24 2*12 3*8 4*6

What is bigger 1/5 or 2/10

Answers

they are equal...1/5 is half of 2/10

A theater has 675 seats. there are three times as many seats in a row as their are rows

Answers

Answer:

Step-by-step explanation:

let the number of rows=x

seats in each row=3x

so number of seats=x(3x)=3x²

3x²=675

x²=225

x=15

number of rows=15

and seats in each row=15×3=45

Answer: 15 rows with 45 seats each

Step-by-step explanation:

Let x = the number of rows, then 3x= the number of seats in a row.

                                   seats × row= total

                                            3x × x=675

                                                3x²=675

                                                  x²=225

                                                   x=15

Which of the following expressions is the inverse of the function y equals quantity x minus 2 divided by 3

Answers

y=(x-2)/(3)\ \ \ \ |change\ x\to y\ and\ y\to x\n\nx=(y-2)/(3)\to(y-2)/(3)=x\ \ \ \ |multiply\ both\ sides\ by\ 3\n\ny-2=3x\ \ \ \ |add\ 2\ to\ both\ sides\n\n\boxed{y=3x+2}\leftarrow answer
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