Write a polynomial of least degree with roots 2 and – 7

Answers

Answer 1

Answer: x^2+5x-14

Step-by-step explanation:

2 and -7 are the roots of the polynomial then we have to write them as

 x=2 ,x=-7

To convert these as factors, we have to write them as

(  x-2) (x+7)

The product of those factors will give the polynomial. Because we have two factors, we will get a quadratic polynomial.

x^2+7x-2x-14

x^2+5x-14

Number of factors  =  Highest exponent of the polynomial

Answer 2

Answer:

y = x² + 5x - 14

Step-by-step explanation:

Given roots x = a, x = b, then the corresponding factors are

(x - a) and (x - b) and the polynomial is the product of the factors

y = (x - a)(x - b)

Here the roots are x = 2 and x = - 7, then the factors are

(x - 2) and (x - (- 7)) = (x + 7), so

y = (x - 2)(x + 7) ← expand using FOIL

y = x² + 5x - 14


Related Questions

The probability distribution of a game is shown in the table. Find the expected number of points won per play. Round to the nearest tenth if needed.

a) 5.7 b) 4.5 c) 4.7 d) 5

Answers

Answer:

4.5

Step-by-step explanation:

I just did this lesson and i just guessed, but i got it wrong and it said the answer was 4.5. basically, you multiply the fractions and the number value first,(like 1/6 X 0) and you do that to all of them. and then you add up all your answers, simplify them and put it in decimal form. and you get 4.5. hopefully that made enough sense.

HELP PLS YALL HDHDGDUSHSHXHHXXHHXHXBXBXXHDBBDBDBDBDD

Answers

Answer:

with what?

Step-by-step explanation:

A right square pyramid has a base area of 200 square inches. Find its volume, if its height is 6 inches.
A. 33 in.
B. 400 in.
C. 3,600 in.
D. 1,200 in.

Answers

Step-by-step explanation:

400 in. is the correct answer

For a pyramid, volume= (1/3) x b x h where

B= base area, and

h= height .

So, volume= (1/3) x (200in^2) x (6in) = 400in^3.

- Chilio

write a equation in slope intersect form for points (0,8) and (9,5)

Answers

y = mx+b

(5-8)/(9-0) = -1/3 which is m

solve point slope to find slope intercept by using one of the points (0,8)

y-y1=m(x-x1)

y-8 = -1/3(x-0)

y-8 = -1/3x

Answer: y = -1/3x + 8

HELPPPPPPPPPPPPP
In a bag of marbles there are 3 blue​ marbles, 3 red​ marbles, and 3 green marbles. You pick three marbles out of a bag one at a time without replacement. How many ways can you pick two green marbles first and one red marble​ last?

Answers

Answer:

separating

Step-by-step explanation:

separate the colors and if u separate the green from the red u can easily pick the marbles out

Evaluate x^4.x^2 when x=5

Answers

Answer:

i got u fam!!!!!!!!!!!!!!!

its 15625

Step-by-step explanation:

Libby can finish a paper in 2 hours. Ethan can finish the same paper in 4 hours. How
long will it take them to finish a paper if they work together?

Answers

Answer:

1.33333 hours

Step-by-step explanation:

Given :

Time taken by Libby = 2 hours

Time taken by Ethan = 4 hours

rate = 1 / time taken

Libby's rate = 1 /2

Ethan's rate = 1/4

Combined rate = Libby's rate + Ethan's rate

Combined rate = 1/2 + 1/4 = 3/4

Time taken = 1 / combined rate

Time taken = 1 / (3/4)

Time taken = 4 /3

Time taken = 1.33333 hours

If it takes Laine 4 hours to wash the windows, Leslie 5 hours to wash the same windows, and Lance 6 hours to wash the windows, how long would it take them all working together?
.8 hours
6 hours
1.6 hours
3.2 hours

Answers

1/4+1/5+1/6=1/x

LCM = 60

15/60+12/60+10/60=1/x

37/60=1/x

37x=60

x=60/37=1.62, round =1.6

1.6 HOURS

The number of hours they would take them all working together is around 1.6 hours.

What are ratios and proportions?

A ratio is the divide of the two variables and the lower variable known as the denominator should not be zero.

Given that laine takes 4 hours to complete work

In 1 hour Laine will do 1/4 part of the work.

In 1 hour Leslie will do 1/5 part of the work.

In a 1-hour Lance will do 1/6 part of the work.

so let's suppose all done work by x hours then

1/4 + 1/5 + 1/6 = 1/x

x =1.6 so all together done the work by 1.6 hours.

For more information about ratio and proportion.

https://brainly.com/question/26974513

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Experimental Probability is ___________ .
a . our prediction
b. data from our experiment

Answers

Answer:

b

Step-by-step explanation:

data from our experiment.....

Hannah had 30 dollars to spend on 3 gifts. She spent 8 7 10 dollars on gift A and 4 2 5 dollars on gift B. How much money did she have left for gift C? Solve

Answers

Answer: [tex]\$16\dfrac{9}{10}[/tex]

Step-by-step explanation:

Given

Hannah had 30 dollars

Money spent on gift A

[tex]8\ \dfrac{7}{10}=\dfrac{8\times 10+7}{10}=\dfrac{87}{10}[/tex]

money spent on gift B

[tex]4\ \dfrac{2}{5}=\dfrac{22}{5}[/tex]

Money spent on gift C

[tex]\Rightarrow \text{Total-Money spent on (A+B)}\\\\\Rightarrow 30-\dfrac{87}{10}-\dfrac{22}{5}=30-\dfrac{87}{10}-\dfrac{44}{10}\\\\\Rightarrow \dfrac{300-87-44}{10}=\dfrac{169}{10}\\\\\Rightarrow \$16\ \dfrac{9}{10}[/tex]

The mean number of words per minute (WPM) typed by a speed typist is 119 with a standard deviation of 15 WPM. What is the probability that the sample mean would differ from the population mean by greater than 4.1 WPM if 33 speed typists are randomly selected? Round your answer to four decimal places.

Answers

Answer:

the probability that the sample mean would differ is 0.1164

Step-by-step explanation:

The computation of the probability is shown below

= 1 - P(Within 4.1 WPM)

= 1 - P( -4.1 ÷ 15÷ √3 <z < 4.1 ÷ 15÷ √3)

= 1 - P(-1.57 < z < 1.57)

= 1 - 0.8836

= 0.1164

Hence, the probability that the sample mean would differ is 0.1164

Therefore the same would be applied and relevant

i need help with this questionn

Answers

56,,, I got that by plugging in the numbers from the right triangle and used the Pythagorean theorem.

PLEASE HELP FAST!!!!! I’ll mark brainliest

Answers

C is the right answer

Please help asap. This is khan acadamy

Answers

Answer:

xr 30 degrees

Step-by-step explanation:

the angles always add up to 180 sooo

53+97=150

180-150=30

there's how u solve these kinds of problems

hope this helps

Does anyone know how to do this because im confused.

Answers

Answer:

no but choose b if u don't know it it usually works for me sorry if I don't help :(

Answer:

y=-3x is the bottom right one

y=4x is the top middle

y=x-3 is the top right one

Step-by-step explanation:

uh yeah I’m this bad at math I need help on number 4

Answers

Answer:

36

Step-by-step explanation:

To find the area of a triangle, multipy the base and height of a triangle, then divide it in half

8x9=72/2=36

Pls helpppp and thank you

Answers

If the question is y = blank(x) + blank (I can’t see the left of the equation
Then the answer is y = 2x + -4

HELP PLEASE VERY MUCH AND THANK YOU!!! look at screenshot

Answers

Answer:A

Why: Because 3-6 reduces to 1-2

Answer:

They are both correcte

Step-by-step explanation:

Imagine a pizza with 6 slices

Half of 6 slices is 3 slices, or 3/6

If you simplify 3/6, you will get 1/2

So, both fractions are equal, but in different forms.

For better context see images below!

HELP DUE IN 10 MINUTES

Answers

M > -2 (I think?)

-3 can’t be right because 3(-3) = -9 and -9 + 14 = 5, which is less than 8 so 5>8 would be false.

What is vertical asymptote for the given equation
f(x) = log(x - 5) + 2

Answers

The answer is:
X = 5

I NEED HELP I WILL GIVE BRANLIEST REAL ANSWERS ONLY PLZZZ!!!!!I NEED HELP I WILL GIVE BRANLIEST REAL ANSWERS ONLY PLZZZ!!!!!I NEED HELP I WILL GIVE BRANLIEST REAL ANSWERS ONLY PLZZZ!!!!!I NEED HELP I WILL GIVE BRANLIEST REAL ANSWERS ONLY PLZZZ!!!!!I NEED HELP I WILL GIVE BRANLIEST REAL ANSWERS ONLY PLZZZ!!!!!I NEED HELP I WILL GIVE BRANLIEST REAL ANSWERS ONLY PLZZZ!!!!!I NEED HELP I WILL GIVE BRANLIEST REAL ANSWERS ONLY PLZZZ!!!!!

Answers

i believe the answer is 36/100

Answer:

Step-by-step explanation:

To find each probability you will state the probability of the first event happening and multiply it by the chance of the second event happening.  

P(2 Nickels):  6/10 x 5/9 = 30/90 (1/3 chance)

P(2 Dimes):  4/10 x 3/9 = 12/90 (4/30 chance)

P(1 nickel and 1 dime): 6/10 x 4/9 = 24/90 (8/30 chance)

I hope this helps :D

A box contains three cards. On one card there is a question mark ​(Upper Q​), on another card there is a pear ​(Upper P​), and on the third card there is a moon ​(Upper M​). Two cards are to be selected at random with replacement. Complete parts​ (a) through​ (e) below. ​a) Determine the number of sample points in the sample space.

Answers

Complete question :

Determine the probability that two pears are selected The probability is(Simplity your answer.)

d) Determine the probability that a card containing a PEAR and then a card containing a question mark are selected

Answer:

(QQ, QP, QM, QP, PP, MP, QM, PM, MM) ;

Step-by-step explanation:

Given :

Marking on card :

Question mark = Q

Pear = P

Moon = M

Selecting two cards with replacement :

Sample space :

_____ Q ____ P _____ M

Q ___QQ ___QP ___ QM

P ___QP ____PP ___ MP

M__ QM ____PM ___MM

(QQ, QP, QM, QP, PP, MP, QM, PM, MM) ;

1/9 ;

2/9

P(selecting 2 pears) = (PP)

P(p) = required outcome / Total possible outcomes = 1 / 9

Card containing a pear and then a question mark ;

(PQ or QP).

P(p) = 1/3 ; P(Q) = 1/3

P(PQ) + P(QP)

(1/3 * 1/3) + (/3 * 1/3)

1/9 + 1/9

(1 + 1) / 9

= 2/9

Use the graph of the function f(x) - (x + 1)2 + 2. Identify the vertex and
the axis of symmetry.

Answers

Answer:

x = –1 AND (-1,2)

Step-by-step explanation:

The axis of symmetry is x = –1

and the vertex is (-1,2)

i know this because the graph is on -1, 2

and I also took the quiz hope it helps ;)

The vertex of the function is (-1, 2).

The axis of symmetry of the function is -1.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = (x + 1)² + 2

f(x) = x² + 2x + 1 + 2

f(x) = x² + 2x + 3

Now it is in the form of ax² + bx + c

a = 1

b = 2

c = 3

The coordinate of the Vertex of the function is (-b/2a, f(x)) = (x, y)

-b/2a = -2/2 = -1

f(x) = (-1)² + 2 x (-1) + 3 = 1 - 2 + 3 = 4 - 2 = 2

Vertex = (-1, 2)

The axis of symmetry is the x-coordinate of the vertex.

= -1.

Thus,

Vertex is (-1, 2).

The axis of symmetry is -1.

Learn more about functions here:

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Which of the following describes the square root of 41. 5,6 6,7 20,21 40,42

Answers

Answer:

6,7

Step-by-step explanation:

the squre root of 41 is 6.403

Help please please pray that you pray

Answers

Answer:

well religion does not work here sorry

Step-by-step explanation:not everyone prays im sorry

Answer:

im confused

Step-by-step explanation:

dont delete this

HHEEEEEELLLLPPPPPP ANSWER THIS QUICKLYYYYY

Answers

Answer:  27

Step-by-step explanation:

[tex]a_{1}=6\\a_{2}=a_{n-1}+7=a_{2-1} +7=a_{1} +7=6+7=13\\a_{3}=a_{n-1}+7=a_{3-1} +7=a_{2} +7=13+7=20\\a_{4}=a_{n-1}+7=a_{4-1} +7=a_{3} +7=20+7=27[/tex]

Joshua is going to invest $9,000 and leave it in an account for 5 years. Assuming the
interest is compounded continuously, what interest rate, to the nearest tenth of a
percent, would be required in order for Joshua to end up with $12,500?

Answers

Answer:

Step-by-step explanation:

Answer:

6.6%

Step-by-step explanation:

A college surveys local businesses about the importance of students as customers. The college chooses 150 businesses at
random from telephone listings. Of these, 68 return the questionnaire. The population being studied is:

A. The set of all local businesses

B. The 68 businesses who returned surveys

C. The 150 businesses who were sent surveys

D. All the students at the college

Answers

The proportion of businesses who did not respond = 54.67%

Given : Total businesses = 150

Businesses responded = 68

Businesses did not respond =  150- 68 = 82

The proportion of businesses who did not respond =

82/150 x 100

54.67%

PLEASE HELP ONLY HAVE OME HOUR TO COMPLETE!!!!

Answers

Answer:

Step-by-step explanation:

To be a function x can't repeat with a different y so in a every element of x is mapped to a different y so it is a function.

For choice B, -4 is paired with both 7 and 8 so it is not a function.

Choice C is a function since each x is paired with a different y.

PLEASE HELPP!!!!
The wingspan of a hawk is the distance from the end of one spread-out wing to the end of the other spread-out wing. A scientist measured the wingspans of a random sample of hawks at a national park. Based on the median wingspan of the sample, the scientist estimates that the median wingspan of all hawks in the national park is 40 inches. Which graph most likely represents the data from the scientist's sample?

Answers

Answer:

D)

Step-by-step explanation:

It looks like the most sense

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