The polynomial P in lowest degree given the following roots: 4, -3, 4i is x^3 - (4i+1)x^2+4(i-3)x + 48i
Given the roots of a polynomial such as 4, -3, 4i. The equivalent factors of the polynomial will be x-4, x+3 and x-4i
Taking the product of the factors
P(x) = (x-4)(x+3)(x-4i)
P(x) = (x^2+3x-4x-12)(x-4i)
P(x) = (x^2 - x - 12)(x-4i)
P(x) = x^3-4x^2i-x^2+4xi-12x+48i
P(x) = x^3 - (4i+1)x^2+4(i-3)x + 48i
Hence the polynomial P in lowest degree given the following roots: 4, -3, 4i is x^3 - (4i+1)x^2+4(i-3)x + 48i
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Question 2:
The LCM is____.
24 i think
an LCM is the lowest number that applies to all numbers in your equation
How many different three letter words can be formed from the alphabet HJKLM
Answer:
0
Step-by-step explanation:
Every word that I am typing for the explanation has at least one vowel contained in it. There is not a single vowel in those letters.
You are welcome!
Kayden Kohl
Eight Grade Student
What is the value of y?
Answer:
y = 20
Step-by-step explanation:
The measure of angle A is such that the sum of the two congruent base angles and A is 180°.
2(25°) +(3y+70)° = 180°
3y +120 = 180 . . . . . . . . . . . divide by ° and simplify
3y = 60 . . . . . . . . . . . . subtract 120
y = 20 . . . . . . . . . .divide by 3
__
The value of x is 5.
y+3=1/3(x-2)
graph the answer
Please help please
Solve the system of equations by using substitution or elimination and choose the correct ordered pair.
Answer:
we get y = 3 x = 4
Step-by-step explanation:
so we have to cancel one out we'll use u
mutiply top by -2 to everything
add all the numbers and we get -5x=-20 multiple by -1
then divide both sides by 5
x=4 then use that and input it in any of the two beginning equations
x(4) +2y = 10
4 + 2y = 10 -4
-4
2y=6
y=3
Please help, I don't understand it
A
Step-by-step explanation:
basically you take 2.99 and put that in a calculator then you put the % and you get .50 then you take 2.99 minus .50 and get 2.49 which is the answer so it's a
An empty water basin is being filled from the cold water faucet at the rate of 2 gallons per minute, but the water is flowing out from the drain at the rate of 34 gallons per minute. Find the average rate of change of water in the basin. Select one: a. 234 gallons per minute b. 114 gallons per minute c. 34 gallons per minute d. 334 gallons per minute
Answer:
Find the average rate of change of water in the basin. Select one: a. 234 gallons per minute b. 114 gallons per minute c. 34 gallons per minute
what is 9 + 6g + 1 = 100?
Answer:
84
Step-by-step explanation:
9 + 6g + 1 = 100
g = 100 - 9 - 6 - 1
= 84
Find the constant proportionality for the ratio 4/7
but the answer is y
Step-by-step explanation:
yauyy
[tex]\frac{n^5}{n-6} * \frac{n^2-6}{n^8}[/tex]
Step-by-step explanation:
Dod you mean
[tex] = \frac{ {n}^{5} }{ {n}^{ - 2} } \times \frac{ {n}^{2 - 6} }{ {n}^{8} } [/tex]
[tex] = {n}^{5 - ( - 2)} \times {n}^{2 - 6 - 8} [/tex]
[tex] = {n}^{7} \times {n}^{ - 12} [/tex]
[tex] = {n}^{7 + ( - 12)} [/tex]
[tex] = {n}^{ - 5} = \frac{1}{ {n}^{5} } [/tex]
-10(g+6)=65 what is the value of g
Answer:
i think its -1/2
Step-by-step explanation:
Answer:
-1/2
Step-by-step explanation:
-10(g-6)=65
-10g+60=65
-60 -60
-10g=5
-10g/-10 =5/-10
g=-1/2
If an airplane traveled 414 miles how fast did it travel in 3/4 of an hour?
Answer:
The issue needs you to calculate Claire's airplane's speed in miles per hour.
Claire's airplane travels at a speed of 552 miles per hour.
Given:
414 miles total distance traveled
Time allotted = 3/4 hour
Total distance traveled / Total time = Speed
= 414 miles per hour
414 4/3 = 414
= (414 4 / 3)
1656 / 3 =
equals 552 miles per hour
As a result, Claire's airplane's speed in miles per hour is 552 miles per hour.
Please give brainliest
Have a nice day :D
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new tiles are being laid in the school hallway. The tiles measure 1 foot by 1 foot. The hallway is 55 feet long and 6 feet wide. How many tiles will be needed to cover the floor?
Answer:
TOYOTA FURTUNER LTD 2.8 Q 3,2050,000
If the record number of hotdogs eaten is
75 hotdogs in 10 minutes:
a) How many hotdogs are eaten per
minute?
b) At that rate, how many hotdogs did
the champion eat in 4 minutes?
Answer:
1. 7.5 you just do 75 / 10
2. 30 you just do 7.5 x 4
Hope this helps! :)
Have a blessed day/night !! <3
Happy Holidays!! <3
In 2012, the population of a city was 5.43 million. The exponential growth rate was 1.39% per year.
a) Find the exponential growth function.
b) Estimate the population of the city in 2018.
c) When will the population of the city be 9 million?
d) Find the doubling time
a) The exponential growth function is P(t) = where t is in terms of the number of years since 2012 and P(t) is the population in millions.
(Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.)
Answer:
In 2012, the population of a city was 6.03 million. The exponential growth rate was 3.89% per year. Find the exponential growth function. Estimate the population of the city in 2018. When will the population of the city be 8 million? Find the doubling time. The exponential growth function is P(t) = 6.03e^0.0389t, where t is in terms of the number of years since 2012 and P(t) is the population in millions. (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.) The population of the city in 2018 is 7.6 million. (Round to one decimal place as needed.) The population of the city will be 8 million in about 7.3 years after 2012. (Round to one decimal place as needed.) The doubling time is about years. (Simplify your answer. Round to one decimal place as needed.)
Step-by-step explanation:
^^
Solve the following
4¹³ - 4¹²/ 4¹¹
Answer:
6710886067
Step-by-step explanation:
2)
If x = 40, what is the value of y?
x
/سل
Answer:
50
Step-by-step explanation:
there are three angles hypotenuse omw is right angle so the value of one angle is 90 another one is 40 soo subracted the 90-40 and the answer will be 50 the value of y=50
In
△
B
C
D
,
△BCD,
B
C
‾
≅
D
B
‾
BC
≅
DB
and
m
∠
B
=
6
2
∘
.
m∠B=62
∘
. Find
m
∠
D
.
m∠
Answer:
m∠D = (180 - 62) / 2 = 59°
Step-by-step explanation:
Also m∠C = 59°
Which of the following statements describe the graphs of the solution set flr this inequality select two that apply
Answer:
1st . The shaded region of the graph ....
2nd. The graph line is solid.
4th. The ordered pair (2 ; 5) is part of the solution set.
Step-by-step explanation:
. Because y is greater or equal than the line, everything above the line is part of the solution.
. Since y is greater or equal, the line is solid. If y was only greater the line would have been dotted.
. The pair (2 ; 5) represent the x = 2 w/ y = 5, and reading the graph you can see the at this point the lines passes through it.
Help Please, fast!!!!!!
1. Find the percent change from 70 to 56.
Answer:
20% decrease
Step-by-step explanation:
70-56 = 14
14/70 = 0.2
0.2 x 100 = 20
A store sells 6 apples for $2.82. At that rate, how much would 1 apple cost?
If the graph of a function is flat, then it can be
described as:
a) Increasing
b) Decreasing
c) Constant
d) Variable
The graph of the function is the set of all points (x,y) in the plane that satisfies the equation y=f(x) y = f ( x ) . ... The y value of a point where a vertical line intersects a graph represents an output for that input x value.
Answer:
Constant
Step-by-step explanation:
HELPPPP Joseph received a $20 gift card for downloading music.
Each downloaded song costs $1.29. Explain how to write
and solve an inequality that can be used to determine the
number of songs that he can purchase. Interpret the
solution.
HELP ASAP DUE TODAY I DON"T KNOW I AM NOT REALLY SMART SO HELLLLLLLLLLLLLP ME!!!! WORTH 50 POINTS
Answer:16
Step-by-step explanation: I took the same quiz
Help me on 55 please
Answer:
if you have computer/laptop do search from it
The temperature of a city doubles during the day, and then decreases by 14.1ºF after the sun goes down. The temperature at the end of the day is −1.7°F. What was the temperature at the beginning of the day? Enter your answer in the box.
The temperature at the beginning of the day was 6.2°F
Let x represent the temperature at the beginning of the day.
Since, the temperature of a city doubles during the day, and then decreases by 14.1ºF after the sun goes down, hence:
Temperature at end of day = 2x - 14.1
Also, the temperature at the end of the day is −1.7°F, hence:
2x - 14.1 = -1.7
2x = 12.4
x = 6.2°F
The temperature at the beginning of the day was 6.2°F
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Answer:
16.2
Step-by-step explanation:
PLEASE PLEASE PLEASE HELPPPP
Answer:
Step-by-step explanation:
Answer:
AD = 9 cm
Step-by-step explanation:
Recognize all of the triangles are 30°-60°-90° triangles that have side ratios of 1 : √3 : 2. That is, the longest side is double the length of the shortest side.
CB = 2(DB)
DB = CB/2 = (6 cm)/2 = 3 cm
AB = 2(CB)
AB = 2(6 cm) = 12 cm
AD +DB = AB
AD +3 cm = 12 cm
AD = 9 cm . . . . . . . . . . subtract 3 cm
HEY. YES, YOU. PLEASE HELP
Answer:
6-x=9, 6-x=-9
Step-by-step explanation:
D: all real numbers
6-x=9
-(6-x)=9
x-6=9, or 6-x=-9
Veronica bought a new scanner for $400. She put $20 down and got a student discount of$10. Her father gave her 1/2 of the balance. Use the numerical expression to find the amount Veronica still owes for the scanner.
Answer:
She still owes 170
Step-by-step explanation:
