If m and n are the zeroes of the polynomial 6y 2 -7y – 2, find a polynomial whose zeroes are 1/m and 1/n

Answers

Answer 1

Answer:

[tex]y^2-\frac{7}{2}y+3[/tex]

Step-by-step explanation:

Given polynomial is,

6y² - 7y - 2

Fro the zeros of the given polynomial,

6y² - 7y - 2 = 0

6y² - 4y - 3y - 2 = 0

2y(3y - 2) - 1(3y - 2) = 0

(2y - 1)(3y - 2) = 0

(2y - 1) = 0

y = [tex]\frac{1}{2}[/tex]

(3y - 2) = 0

y = [tex]\frac{2}{3}[/tex]

Therefore, zeros of this polynomial are m = [tex]\frac{1}{2}[/tex] and n = [tex]\frac{2}{3}[/tex]

If a polynomial has zeros as [tex]\frac{1}{m}[/tex] and [tex]\frac{1}{n}[/tex] then the zeros will be [tex]\frac{3}{2}[/tex] and 2.

Polynomial will be,

[tex](y-\frac{3}{2})(y-2)[/tex]

= [tex]y(y-2)-\frac{3}{2}(y-2)[/tex]

= [tex]y^2-2y-\frac{3}{2}y+3[/tex]

= [tex]y^2-\frac{7}{2}y+3[/tex]


Related Questions

A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 34
centimeters, and the length of the other leg is 24 centimeters. The student incorrectly says that the
length of the hypotenuse is 7.6 centimeters. Answer parts a and b.
a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.

Answers

Answer:

41.6 centimeters

Step-by-step explanation:

The right triangle formula: c^2 = a^2 + b^2

                                  c is the hypotenuse side of the triangle

                                  a and b are the legs of the triangle.    

 Find the hypotenuse :   c^2 = (24)^2 + (34)^2

                                          c = square root of (  (24)^2 + (34)^2)

                                          c = square root of ( 576 + 1,156)

                                          c = 41.6173

You start at (8, 3). You move down 1 unit. Where do you end?

Answers

Answer:

(8, 2)

Step-by-step explanation:

Initial point is: (x, y) = (8, 3)

When you move up or down, you change the y-coordinateWhen you move left or right you change the x-coordinate

Move down 1 unit:

(x, y) → (x, y - 1)

The new point is:

(8, 2)

im confused again please help

Answers

I think the answer is A.CMIIW

Find the measure of the indicated angle to the nearest degree (Image Attached)

Answers

Answer:

Y = 31.9° (rounded to 3 significant figures)

Select ALL choices that are zeros of this function y=x2 +12x +32

Answers

Answer:

{-8, -4}

Step-by-step explanation:

Rewrite this function y=x2 +12x +32 as y = x^2 + 12x + 32; " ^ " indicates exponentiation.

Set this x^2 + 12x + 32 equal to zero (to find the zeros):  

x^2 + 12x + 32 = 0.  Let's solve this using the quadratic formula, which applies when ax^2 + bx + c = 0:

       -b ± √(b^2 - 4·a·c)

x = -------------------------------

                    2a

The coefficients of the given quadratic are {1, 12, 32}.  Thus, the discriminant is

b^2 - 4ac, or 12^2 - 4(1)(32), or 144 - 128, or 16. Therefore, we have:

       -12 ± √16                                                     -12 ± 4

x = --------------------    which simplifies to:    x = --------------- = { -8, -4}

              2                                                                  2

The zeros are {-8, -4}

Ken makes 75 cookies. He gives 35 of them to his classmates and 13 of them to his teachers. He brings the rest home. He brings home
cookies.

Answers

27 cookies because 75 - 35=40. 40 - 13=27
75-35 =40 and 40-13 =27
So ken would bring home 27 cookies

If mpho is the 50th fastest and slowest runner in her school,how many students are there in her school

Answers

Answer:

Step-by-step explanation:

i need points lol

There are 99 students in her school.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

mpho is the 50th fastest and slowest runner in her school.

Now,

Since, mpho is the 50th fastest and slowest runner in her school.

Hence, Total number of students = (50 + 50) - 1

                                                   = 100 - 1

                                                   = 99

Thus, There are 99 students in her school.

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Word Phrase
Algebraic expression
10 more than the product of 3 and x
9 less than the quotient of n and 5
8 times the product of 5 and t
3 times the sum of x and 5
A state park charges a $6.00 entry fee plus
$7.50 per night of camping.

Answers

Answer:

3x + 10

n/5 -9

8(5t)

3(x + 5)

6 + 7.5n

Please let me know if you have questions about these. I’m happy to try to explain.

what is the simplified ratio of 6:4 please explain step by step​

Answers

Answer:

3:2

Step-by-step explanation:

Answer:

3:2

Step-by-step explanation:

6 and 4 can be both divided by 2

A rectangular prism has a width of 5cm, a height of 8 cm and a depth of 10cm. What is the volume of the prism

Answers

Answer:

400

Step-by-step explanation:

5 x 8 x 10 = 40 x 10 = 400

Answer:

400

Step-by-step explanation:

adding 5 and subtracting 5 are____​

Answers

Answer:

I do not understand

Step-by-step explanation:

Answer:

This question makes no sense but they cancel out

Step-by-step explanation:

A local taxi company charges a base fare of $3.20. The taxi company charges $0.40 for every minute the taxi is in service. If a passenger has $20, how many minutes can he travel in the taxi?


Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 42 minutes

Explanation:

0.40x + 3.20 = 20

0.40x = 16.8

x = 42 minutes

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!!

Answers

Answer:

J

Step-by-step explanation:

i looked it up on a graphic calculator, just trust me lolz

good luck!!!

Hello please help me, i am in middle school, i failed two classes last semester and i failed one class this semester, will i flunk?

Answers

Answer:

u should be fine. if anything summer school should help you. college does not care about your middle school grades but you should try your hardest to pass. You have to at least pass

Step-by-step explanation:

summer school, if offered will help you. it isn’t going to be hard. you should not be worrying about your middle school grades, hun. you’ll be fine.

uhmm...hi... can someone plss answer this...
plss don't waist ma póints.​

Answers

Answers:

1: 6, because both are congruent

2: 14, because if half is seven then the whole line is double.

3: (Sorry, I’m not sure on this one).

4: Right triangle

5: 42, because A = (xy) / 2
1) HT = AT because a kite has two pairs of consecutive sides that are equal
So HT=6
2) a kite’s diagonals are perpendicular so GH= 7
7+7=14
3)AMH divides into two equal parts so we divide by 2
35/2 = 17.5
17.5
4)scalene triangle
5)area = 0.5 d1xd2
0.5 x 12x 7=42

the common factor of 6x 66xy​

Answers

Answer:

6x and 1x or x

Step-by-step explanation:

the highest common factor of 6x and 66xy in 6x

6x ÷ 6x = 1

66xy ÷ 6x = 11y

the lowest common factor of 6x and 66xy is 1x or x

6x÷ 1x =6

66xy÷ 1x = 66y

6x÷ x = 6

66xy ÷ x = 66y

NOTE

1x and x is the same

Suppose you know the minimum, lower quartile, median, upper quartile, and maximum values for a set of data. Explain how to create a box plot for the data set.
NO LiNKS OR BE REPORTED

Answers

Answer:

For some sets of data, some of the largest value, smallest value

, first quartile, median, and third quartile may be the same. For instance, you might have a data set in which the median and the third quartile are the same. In this case, the diagram would not have a dotted line inside the box displaying the median. The right side of the box would display both the third quartile and the median. For example, if the smallest value and the first quartile were both one, the median and the third quartile were both five, and the largest value was seven, the box plot would look like:

In this case, at least

25

25

% of the values are equal to one. Twenty-five percent of the values are between one and five, inclusive. At least

25

25

% of the values are equal to five. The top

25

25

% of the values fall between five and seven, inclusive.

Answer:

First, create a scale that includes all the numbers- that being, you can plot both the minimum and maximum values on it.

Next, draw a line of a set height (I tend to use 2 squares in my work) where the median is. Next, draw similar lines, at the same height, for the rest of the values- both quartiles and the maximum values. You can obviously do this in whatever order you like, but that's how I do it.

Next, join up the tops and bottoms of the quartiles, with the median in the middle, and connect the middles of the quartiles to their corresponding minimum or maximum values.

Voila, my friend. You have a box plot.

Step-by-step explanation:

First, create a scale that includes all the numbers- that being, you can plot both the minimum and maximum values on it.

Next, draw a line of a set height (I tend to use 2 squares in my work) where the median is. Next, draw similar lines, at the same height, for the rest of the values- both quartiles and the maximum values. You can obviously do this in whatever order you like, but that's how I do it.

Next, join up the tops and bottoms of the quartiles, with the median in the middle, and connect the middles of the quartiles to their corresponding minimum or maximum values.

Voila, my friend. You have a box plot.

HELPPP PLEASE I NEED AN ANSWER

Answers

Answer:

C

Step-by-step explanation:

please help me............

Answers

Answer:  167* and 562*

Step-by-step explanation:  62x72x89x57x81x93x75x8=167//562

What is the angle of 1,2,3, and 4?​

Answers

Answer:

1=72

2=36

3=36

4=54

The diameter of a circle is 2 inches. What is the circle's circumference? d=2 in

Answers

Answer:

2π or 6.2831 (I don't know which since I don't know what to round to or if it is supposed to be in terms of π soooo)

Step-by-step explanation:

[tex]2\pi(1) = 2\pi = 6.2831[/tex]

Can someone help me? Please? TwT

Answers

The perimeter is the total distance of the sides of the rectangle. Since parallel sides in a rectangle are equal, we can calculate the perimeter using the length and width given. The area can be found by multiplying the length by the width.

(a)
Perimeter: 2l + 2w = 2(77 yd) + 2(24 yd) = 154 yd + 48 yd = 202 yd.

Area: 77 yd × 24 yd = 1848 yd².

———
(b) To determine how long it will take to walk around the field, one would need to know the total distance of the edges that make up the field. That would be the perimeter, which is the measure that would be used here.

———
(c) To determine the amount of turf needed to cover the field, one needs to know the size or extent of the surface of the region to be covered. That is the definition of area, which is the measure that would be used here.

Tyler owned the librarian late fees he had to pay a 3% fee on the cost of the books, which was $35.62. What was he charged for a late fee?

Answers

Answer:

$1.07 for the late fees.

Step-by-step explanation:

You can find the fee for this price by finding 3% of the $35.62 (total cost of the books). You can find this number by multiplying (35.62*.03).

35.62*.03

1.0686

Round up because you cannot have part of a cent.

$1.07 for the late fees.

A bathtub can hold 66 galons of water. The faucet adds 5.5 gallons of water to the bathtub evvery minute. Find out how many minutes it takes to fill the empty bathtub. WRITE EQUATION YOU USED!

Answers

Answer: 12 minutes

Step-by-step explanation:

66/5.5

12 minutes

Answer:

12 min

Step-by-step explanation:

5.5 t=66

t=66/5.5=660/55=12 minutes

Think About the Process What is true about a figure and an image created by a translation? The
vertices of parallelogram GRAM are G(-9, -9), R(-8, -6), A(-4,-6), and M(-5, -9). Graph
GRAM and G'R'A'M', its image after a translation 11 units right and 2 units up.
What is true about a figure and an image created by a translation? Select all that apply.
A. Each point in the image moves the same distance and direction from the figure.
B. The figure and the image are the same size.
C. Each point in the image has the same x-coordinate as the corresponding point in the figure.
OD. The figure and the image are the same shape.

Answers

C. I think it’s correct! Sorry

The dimensions of Jared's classroom are shown in the diagram.
12 m
4 m
6 m
4 m
2 m
8 m
What is the area of the classroom?
A. 36 m2
B. 48 m2
OC.-64 m2
OD. 72 m2

Answers

Answer:

64 m2

Step-by-step explanation:

12x6=72m2

2x4=8m2

72-8=64m2

The area for the given dimensions of Jared's classroom is, 64 m²

What is the area?

An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².

Given that,

The dimensions of Jared's classroom are,

12 m, 4 m, 6 m, 4 m, 2 m, 8 m

we can divide the area of classroom in two parts,

first A₁, having side lengths of 6 m & 8 m

second A₂, having side lengths of 4 m & 4 m

Jared's classroom area =  A₁ +  A₂

A₁ = 6 × 8

      =  48

A₂ = 4 × 4

     = 16

A =  A₁ +  A₂

  = 16 + 48

  =  64

The area of classroom is 64 m²

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f(x) = 9x+7
find 20-3)
09c + 7
0 18c + 20
18c + 7
O -
180 - 20

Someone help?

Answers

Answer:

18c - 20

Step-by-step explanation:

substitute 2c - 3 into x,

f(2c - 3) = 9(2c - 3) + 7

=> f(2c - 3) = 18c - 27 + 7

=> f(2c - 3) = 18c - 20

50 POINTS: Please help thank you so much!! (Image attached) The polygons are similar. Find the values of the variables.

I know from the answer key that the answers are x=
[tex]3 \sqrt{10} [/tex]
and y=
[tex]2 \sqrt{10} [/tex]
but I'm not sure how to get there...​

Answers

Step-by-step explanation:

9 + y^2 = 49

y^2 = 40

y = √40 = 2√10

4.5/3 = 2√10/5x

22.5x = (3) 2√10

22.5x = 6√10

x = 6√10/22.5 = 3√10/11.5

The body of a dump truck is raised to empty a load of sand. How high is the 14-foot-long body from the frame when it is tipped upward by a 60° angle?

Answers

Answer:

12.12 feets

Step-by-step explanation:

Based on the attached diagram, we can apply trigonometric rule to obtain h :

Sinθ = opposite / hypotenus

Opposite = h

Hypotenus = 14

Sin 60 = h / 14

0.8660254 = h / 14

h = 0.8660254 * 14

Height, h = 12.12 feets

The scatter plot shows the number of tickets sold and the price of the tickets.

Using the trend in the scatter plot, about how much will people pay for a ticket If 50 tickets are sold?

A.$50
B.$41
C.$25
D.$5

Answers

Answer:

5$

Step-by-step explanation:

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