Which of the following is a polynomial with roots 4, –2i, and 2i ?

Answers

Answer 1
Answer: (x - 4)(x + 2i)(x - 2i) = 0
x(x^2 + 4) - 4(x^2 + 4) = 0
x^3 + 4x - 4x^2 - 16 = 0
x^3 - 4x^2 + 4x - 16 = 0

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An internet service provider changes an initial fee of $65 and $18 per hour of labor for office internet installation. Which equation represents the total cost, C, of the installation after h hours of labor?

Answers

Answer:

The total cost (C) charged by the internet service provider = $65 + $18(n)

Step-by-step explanation:

Initial fee charged by the servic eprovider = $65

Cost per hour of labor for office internet installation = $18

The cost per hour be $18

Cost per two hours = 18 * 2 = $36

Cost per n number of hours = $18 (h)

where h represents the number of hours

The total cost (C) charged by the internet service provider = $65 + $18(n)

Divide and simplify
4/9÷8/15

Answers

\boxed{(4)/(9):(8)/(15)=(4)/(9).(15)/(8)=(5)/(6)}

(Simplifing 4 with 8 and 15 with 9)
4/9 divided by 8/15
4/9[15/8]
60/72
=30/36
=15/18
=5/6

(10pts) A train left a station at 8:00 amgoing at 45 mph. A second train left the station
at 10:00 am going in the same direction at 55
mph. At what time will the second train catch
up with the first train?

Answers

Answer:

12:00 i think

Step-by-step explanation:

hope this helps

Solve for x.
5x - 6 = 4x + 8

Answers

5x - 6 = 4x + 8
-4x        -4x

x - 6 = 8
    +6   +6

x = 14

Answer: x = 14
First let's get X to one side by subtracting 4x from both sides. (5x-4x) -6 = 8. x-6=8. Now we add 6 to both sides to isolate "x". x=8+6=14. Our answer is x=14.

A scanner scanned 72 photos in 8 minutes. If it scans photos at a constant rate, it can scan _____ photos in 23 minutes.

Answers

Answer:

im stuck on this to

Step-by-step explanation:

Answer:

1656

Step-by-step explanation:

Find the solutions to sin2(x) + cos(x) = 1, keeping 0 ≤ x < 2π

Answers

sin2(x) +cos(x)=1
from the relation: (sin2(x) +cos2(x) =1 )
so , sin2(x)=1-cos2(x)
by subs. in the main eqn.
1-cos2(x) + cos(x) =1
by simplify the eqn.
cos(x) -cos2(x)=0
take cos(x) as a common factor
cos(x)* (1-cos(x))=0
then cos(x)=0 && cos(x)=1
cos(x)=0 if x= pi/2
& cos(x) = 1 if x = 0 , 2*pi
so the solution is x= {0,pi/2 , 2*pi}

Answer:

Which statements did you include in your answer?

Isolate sin(x) by adding 4 and taking the square root of both sides.

State that sin(x) = 2 or sin(x) = –2.

State that –2 and 2 are undefined values  of the inverse sine function.

There are no solutions because –2 and 2 are not in the domain of the function.

Step-by-step explanation: