The polynomial function is the product of three terms, each of which is a linear factor with a zero of 2-i, 1/3 respectively.
A polynomial function is a mathematical expression composed of constants and variables, and is used to model a wide variety of phenomena. The polynomial function can be expressed in terms of the factors of its zeros. In this case, the polynomial function of lowest degree with rational coefficients that has the given numbers 2-i, 1/3 as some of its zeros is (x+2)(x-i)(x-1/3). This polynomial can be expressed as the product of three terms, each of which is a linear factor with a zero of 2-i, 1/3 respectively. This means that when x is equal to 2-i or 1/3, the value of the polynomial function is zero. The linear factors are multiplied together to give the polynomial, and this is the simplest form of a polynomial that satisfies the given criteria. The polynomial can then be used to model a variety of phenomena by taking into account the different factors and their effects on the system.
f(x) = (x+2)(x-i)(x-1/3)
f(2-i) = (2-i+2)(2-i-i)(2-i-1/3)
f(2-i) = 0
f(1/3) = (1/3+2)(1/3-i)(1/3-1/3)
f(1/3) = 0
Learn more about function here
https://brainly.com/question/29633660
#SPJ4
find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. 2-i, /3 f(x) = (x+2)(x-i)(x-1/3)
A die was rolled eight times. The rolls were 2, 2, 3, 4, 4, 5, 6, and 6. What is the mean absolute deviation for this data? A) 1 1/4 B) 1 2/3 C) 4 D) 10 (B is not 12/3)
Answer:
The correct option is A:
MAD = 1 + 1/4
Step-by-step explanation:
For a set of N elements {x₁, x₂, ..., xₙ}
The mean is calculated as:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
And the mean absolute deviation is calculated as:
[tex]MAD = \frac{Ix_1 - MI + Ix_2 - MI + ...+ IX_n - MI}{N}[/tex]
Here we have the set of 8 elements:
{ 2, 2, 3, 4, 4, 5, 6, 6}
The mean of this set is:
M = (2 + 2 + 3 + 4 + 4 + 5 + 6 + 6)/8 = 4
Then the mean standard deviation is:
[tex]MAD = \frac{I2 - 4I + I2 - 4I + I3 - 4I + I4 - 4I + I4 - 4I + I5 - 4I + I6 - 4I + I6 - 4I}{8} = 10/8[/tex]
If we simplify this, we get:
MAD = 10/8 = 5/4 = (4 + 1)/4 = 4/4 + 1/4 = 1 + 1/4
MAD = 1 + 1/4
The correct option is A.
HELP WILL GIVE BRAINLIEST
Answer:
B
Step-by-step explanation:
So for answer choice 1, we can confirm it is correct because if we check there are 2 x intercepts (when it hits x-intercept). For answer choice 2, we only see 1 y intercept ( when it hits y-axis). So that can't be right. We'll keep moving and we can see the the maximum (highest point on the graph) truly is (1,2) so that is correct, and the axis of symmetry (if you would fold the graph in half, the point on the x-axis where it would fold) indeed is 1, so we can confirm the answer is B. Hope this helps!
A paper weight is made in the shape of a triangular pyramid. The dimensions of the paper weight are shown. A triangular pyramid. The base has a base of 9 centimeters and height of 6 centimeters. The height of the pyramid is 7 centimeters. [Not drawn to scale] The formula for the volume of a triangular pyramid is V = one-third B h. Which expression can be used to find the value of B, the area of the base of the pyramid? B = one-half (9) (6) B = (9) (6) B = one-third (9) (7) B = (9) (7)
Answer:
B=one half (9) (6)
Step-by-step explanation:
I took the test
Answer the question below.
Answer:
1/3
Step-by-step explanation:
solving steps for 2/3(9+x) = -5(4-x)
Answer:
x = -6
Step-by-step explanation:
2/3(9+x) = -5(4-x) ( 2/3times9=6, 2/3timesx=2/3x) ( -5times4=-20,-5timesx=-5x)
6 + 2/3x = -20 -5x ( add 20 on both sides)
26 + 2/3x = -5x ( minus 2/3x on both sides)
26 = -4.6x (divided -4.6x on both sides)
-5.6 = x ( round up)
-6 = x
hope this helps
Question 6 (1 point)
Which point is not included in the solution set of the system of inequalities graphed below?
LOOK AT PICTURE
Linda is making a line plot of the data below. 11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12 Which line plot represents the data correctly?
( PLEASE HELP!!) ASAP
I'LL GIVE 70 POINTS IF CORRECT!!
Answer:
The line plot which has plots at the points 11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12 and a slope-line which goes roughly through the middle/mean of the points.
Step-by-step explanation:
Question 9 of 10Which of the following is equal to the rational expression when x ≠ -4 or 3? X^2-4+3/x^2+x-12
Answer:
3
Step-by-step explanation:
Sorry if it's wrong and semogamem helps
HELP!!!
FIRST TO ANSWER GETS BRAINLEST!!!
Jack writes the following expression to compare the temperature on two winter days.
Choose >, < or = from the drop-down menu to make the statement true.
-2°C Choose...
-5°C
Answer:
-2 Celsius >-5 Celsius is the answer.
Answer:
-2 > -5
Step-by-step explanation:
think about which of the two numbers is nearest to 0
describe a good and safe relationship
Answer:
Many people rush into relationships, whether it be romantic or friendly. No matter the kind of relationship, the number one thing you want to make sure you have is boundaries. When you get to know someone, you have to make sure they respect your beliefs, your boundaries, and won't peer pressure you into doing anything. You also want to make sure the person you are getting to know is getting to know you for you and not anything else. It has been proven that the more happy relationships and healthy relationships we have, the longer we live. But it also works the other way around. That's why we have to make sure we surround ourselves with the right kinds of people otherwise, we'll just end up getting hurt. It's very common for people to be influenced by outside forces and, therefore, hurt us and turn around and instead of being our loved ones, they're our enemies. That's why we have to make sure we choose the right kinds of people.
Step-by-step explanation:
I hope this helps :)
Larry read a 400-page book. He read at a rate of 10 pages per day for d days.
Answer:
It took him 40 days to complete the book.
Step-by-step explanation:
Divide 400 by 10 and you should get 40 as an answer.
Answer:
d=400/10
Hope this helps
1 2 3 4 5 6 7 8 9 0 q w e r the y u I o p a s d f g h j k l z x c v b n m
Answer:ABCDEFGHIJKLMNOPQRSTUVWXYZ
Step-by-step explanation:
Which is equivalent to the expression?
(3x - 14)^2
a. 9x^2 - 84x + 196
b. 9x^2 + 84x + 196
c. 9x^2 + 196
d. 9x^2 - 196
Answer:
A
Step-by-step explanation:
(3x - 14)^2
9x^2 - 42x -42x +196
9x^2 - 84 +196 is the correct answer
When f(x)= -4x + 7 ,find f(1)
Evaluate function for given value
Answer:
f(1)=3
Step-by-step explanation:
f(1)= -4(1)+7=3
The sample mean is a statistic. True or false
Answer:
true
Step-by-step explanation:
If the length of a rectangle is 12 times the width and the area is 48 square feet, what are the
dimensions?
Answer:
dimensions are 2 ft, 24ft
Step-by-step explanation:
width = w
length = 12w
Area of rectangle = 48 square feet
length * width = 48
12w * w = 48
12w² = 48 {Divide both side by 12}
w² = 48/12
w² = 4 =2²
w =2 ft
l = 12*2 = 24ft
Answer:
Solution :-Let the width be w and Length will be 12w
So,
Area = lw
48 = 12w × w
48/12 = w²
4 = w²
√4 = √w²
2 = 2
Length = 12(2) = 24 cm
Breadth = 2 cm
[tex] \\ [/tex]
questions number 1
How much paper is used for the label of the container, which covers the lateral surface area of the cylinder? Round your answer to the nearest tenth.
question number 2
what volume of oats will fill the container? Round your answer to the nearest tenth.
9514 1404 393
Answer:
145.3 square inches
Step-by-step explanation:
The lateral area of the cylinder is given by ...
LA = 2πrh
LA = 2π(2.5 in)(9.25 in) = 46.25π in²
LA ≈ 145.3 in²
About 145.3 square inches of paper is used for the label.
I need help with this i cant cuaet understand it.
Answer:
Seattle is more likely to have rain.
Step-by-step explanation:
Seattle has a 75% chance of rain
Tacoma has a 1/4 chance of rain.
100% = 4/4
75% = 3/4
50% = 2/4
25% = 1/4
25% < 75%
Answer:
Step-by-step explanation:
suppose that you borrow $12000 for 4 years at 6% towards the purchase of a car. use pmt to find the monthly payments and the total interest for the loan
Answer:
Equivalent representations of percent problems
Step-by-step explanation:
Tina walks 1/2 mile in each 1/3 hour.
What is Tina's walking rate?
6 miles per hour
5 miles per hour
3/2 miles per hour
16 mile per hour
Answer:
6 mile per hour
Step-by-step explanation:
Tina runs 3/2 miles in an hour and it is her walking rate.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Tina walks 1/2 mile in each 1/3 hour.
So, Tina's walking rate is the distance she runs in an hour which is,
In (1/3)×3= 1 hour she runs (1/2)×3 = 3/2 miles.
learn more about the unitary method here :
https://brainly.com/question/28276953
#SPJ2
In a recent year, 21.4% of all registered doctors were female. If there were 45,700 female registered doctors that year, what was the total number of
registered doctors?
Round your answer to the nearest whole number.
Answer:
268396
Step-by-step explanation:
given that in a recent year 21.2% of all registered doctors were female. hence final answer is that there are total approx 268396 registered doctor's.
Help will be appreciated !
Answer:
The answer is 67.5!!
Step-by-step explanation:
Brainliest Please!
To investigate the relationship between age and preference for two mayoral candidates in an upcoming election, a random sample of city residents was surveyed. The residents were asked which candidate they preferred, and each resident was classified into one of three age-groups. The test statistic for the appropriate hypothesis test was 3.7408. Approximately what is the probability that the observed responses would be as far or farther from the expected responses if there is no association between age-group and preference?
A. 0.0001
B. 0.1541
C. 0.2908
D. 0.5873
E. 0.7117
Answer:
B. .1541
Step-by-step explanation:
Not sure why but the teacher answer key had this listed, came on here to see why
I WILL NAME BRAINSLEST WHI EVER ANSWRS FIRST AND DOESNT MAKE ME READ A LOT
The lengths of the three sides are 4 centimeters, 2 centimeters, and 7 centimeters.
The measures of two angles are 30 and 60 and the length of the included side is 12 inches.
The measures of the three angles are 45, 75, and 60"
Number of
Triangles
Glven Conditions
0
1
infinitely
many
Answer:
60? Maybe could be wrong
Step-by-step explanation:
0 Sides 4 cm, 2 cm, 7 cm
1 ASA = 30°, 12 in, 30 cm
∞ Angles 25°, 75°, 60 °
FOUND THIS IN BRAINLY
Answer:
0 matches with 4,2, and 7 centimeters.
1 matches with 30, 60, and 12
infinitely many matches with 45, 75, and 60!
Solve for a Chocolate Chip Cookie!
Answer:
Hi! The answer to your question is x=-2 and y=3
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Answer:
x= 4-2y and y= 2- 1/2x
now gimme my cookie
The answer is not 15
11 divided by 6 please help
Answer:
1.83 (the 3 keeps going so I simplified it)
Step-by-step explanation:
11/6 = 1.8333333333 (keeps going...)
:))
helpppp meeeee plssss i will love u forever
Answer:
hi
Step-by-step explanation:
-10s=-3-7
-10s=-10
s=1
have a nice day
The regular polygon has radii and an apothem as shown. Find the measure of each numbered angle.
9514 1404 393
Answer:
∠5 = 60°
∠6 = 30°
∠7 = 120°
Step-by-step explanation:
Since the polygon is regular, you know that the central angle (7) is 1/3 of the circle, or 120°. The angle 5 is half that measure, so is 60°, and the angle 6 is the complement of angle 5, so is 30°. (Angle 6 is also half the inscribed angle at each vertex, said inscribed angle being 120°/2 = 60°.)
∠5 = 60°
∠6 = 30°
∠7 = 120°
Henry bought a car for $14,000. After two years, the value of the car was $8,400. What was the percent decrease in the value of the car after two years?
Answer:
40%
Step-by-step explanation:
I I have taken 14000-8400=5600. then I took the formula =decrease × 100 over original price hope that helps.
There will be 40 percent decrease in the price of the car after two years.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
The initial price of car = $14,000
After two year, the price of car = $8,400
The decrease in the price of the car = 14,000- 8,400
= 5600
The decrease in percentage = 5600×100/14000
= 560/14
= 40%
The percent decrease in the value of the car after two year is 40%.
To know more about Percentage on:
https://brainly.com/question/24120406
#SPJ2