if alpha and beta are the zeroes of the polynomial f(x)=ax2+bx+c then 1/alpha+1/beta

Answers

Answer 1

Answer:

[tex]\longrightarrow \boxed{\dfrac{ -b}{c}}[/tex]

Step-by-step explanation:

Given that , α and ß are the zeroes of the polynomial ,

[tex]\longrightarrow f(x) = ax^2+bx + c [/tex]

As , we know that ,

Sum of zeroes = -b/a Product of zeroes = c/a

We need to find out the Value of ,

[tex]\longrightarrow \dfrac{1}{\alpha}+\dfrac{1}{\beta} [/tex]

On simplifying ,

[tex]\longrightarrow \dfrac{ \alpha +\beta }{\alpha\beta} [/tex]

Substitute ,

[tex]\longrightarrow \dfrac{\frac{-b}{a}}{\frac{c}{a}}[/tex]

Cancel " a" in numerator and denominator ,

[tex]\longrightarrow \boxed{\dfrac{ -b}{c}}[/tex]


Related Questions

Write an equivalent expression for 12^3 • 12^9 • 12^4 • 12^2

Answers

9514 1404 393

Answer:

  12^18

Step-by-step explanation:

Each exponent tells you the number of times 12 is repeated as a factor. The total number of repetitions of 12 as a factor in this product is ...

  3 +9 +4 +2 = 18

The equivalent expression is 12¹⁸.

What is the solution to the system of linear equations? Show your work using either substitution or elimination.

Problem:
3x-2y=7
y=x+2

please tell me how you got the answer.

Answers

Answer:

3x - 2y = 7

Where y = x + 2

3x - 2(x + 2) = 7

3x - 2x - 4 = 7

x = 11

Step-by-step explanation:

If you are solving for X and y = x+2 then you write the equation out like this.

3x - 2(x +2) = 7 …. You substitute the x + 2 for y and then solve for x.

2x - 2 times x + 2 times - 2 = 7. That becomes 3x - 2x - 4 = 7. You then subtract 2x from 3x to give you X. Then you add 4 on one side to zero it out and add 4 to the other side. 7 + 4 = 11. This gives you the answer X = 11.

Assume y=5x and dx/dt = 2 find dy/dt

Answers

The answer is “$10$”


Answer: 10

Step-by-step explanation: since dx/dt = 2, you have to create an equation. dx/dt = dy/dt * dx/dy is your equation. now we substitute. 2 = dy/dt *dx/dy. find the derivative of 5x in terms of y (dx/dy), which is 1/5. so now your equation is 2 = dy/dt * 1/5. solve for dy/dt and your answer is 10.  

Which is greater or less than 500mL or 50 L

Answers

Answer:

50L is larger than 500 ML because 1L=1000ml and. 1ML= 1 ML.

Step-by-step explanation:

Answer: 50 L

Step-by-step explanation:

In order to compare both, let's first transform 500 mL into L. We know that 1 L is 1000 mL. So 500 mL = 0.5 L. We should now look at both numbers. The answer would be 50 L, since 50 is superior to 0.5

How do you write 4/ 9 as a decimal?

Answers

Answer:

.4 repeating

Step-by-step explanation: divide the top number by the bottom number so 4 divided by 9

Help me please!!!!!!!

Answers

Answer:

I think she only needs 1

Step-by-step explanation:

6x6= 36, and since one can needs 36 lucia would only need one

Answer:

1

Step-by-step explanation:

The area of the fence is:

l*b

= 6 * 6

= 36ft^2

The amount that 1 tin of varnish can cover: 36ft^2

Hence, only one tin is required.

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

) Write an expression that is equivalent to 3(7 + x).
3(7+ x) =
+
?
7
Х
7
co
9
X
4
UT
6.
-

Answers

same question how many times...?

3( 7 + x ) = 21 + 3x

..................................

can someone help me with this? ​

Answers

Answer:

57

Step-by-step explanation:

the sum of all angles within the triangle will be equal to 180 degrees

Can you simplify the ones without a highlight on them

Answers

Answer:

[tex]\sf 17) \:8b+6-8b+1[/tex]

[tex]\boxed {\sf Combine \: like\: terms:}[/tex]

[tex]\sf 8b-8b=0[/tex]

[tex]\sf 6+1=7[/tex]

[tex]\boxed {7}[/tex]

__________________

[tex]\sf 18)\: t-5-2t+5[/tex]

[tex]\boxed {\sf Combine \: like\: terms:}[/tex]

[tex]\sf -5+5=0[/tex]

[tex]\sf t-2t[/tex]

[tex]\sf \:t-2t=-t[/tex]

[tex]\boxed{\sf -t}[/tex]

___________________

[tex]\sf 19)\: 4w-5w+w[/tex]

[tex]\boxed {\sf Combine \: like\: terms:}[/tex]

[tex]\boxed{0}[/tex]

___________________

[tex]\sf 20)\:12y-8+4y+y[/tex]

[tex]\boxed {\sf Combine \: like\: terms:}[/tex]

[tex]\sf 12y+4y+y=17y[/tex]

[tex]\boxed{\sf 17y-8}[/tex]

_______________________________

Hands-on equations lesson 10

Answers

Answer:

Step-by-step explanation:uhHoAnd ghiorioghiltihlgitrghile

If A FGH A JKL
then FG
[?]
Enter the letters that belong in the
green box.
Enter

Answers

Answer:

JK

Step-by-step explanation:

Since the triangles are congruent then corresponding sides are congruent

Δ FGH ≅ Δ JKL

The corresponding sides are FG and JK

2g-m=5-gh solve for g

Answers

Answer:

[tex]2g-m=5-gh \: solve \: for \: g[/tex]

[tex]2g+gh=5+m[/tex]

[tex]g(2+h)=5+m[/tex]

[tex]g=(5+m)/(2+h)[/tex]

[tex]Thank \: you!!!![/tex]

HELPPPPPPPP
I need help asap​

Answers

The scale is 1 inch = 15 feet. Multiply the inches of the drawing by 15to get total feet:

1 2/3 x 15 = 25 feet

2 x 15 = 30 feet

The court is 25 ft by 30 feet

This is smaller than 25 by 75 so it will fit

Linear Equation in two variables. It is a _________ equation with _______ values. Its graph is a _______.

Standard form A Linear equation can also be written in the form __________, Where m is the ______ and b is the ______ of the question.

Slope. It is the ________ or the steepness of a line. It is symbolized as m​

Answers

Answer:

linear,2,line,mx+b,gradient,y-intercept,gradient

Step-by-step explanation:

PLS MARK AS BRAINLIEST I AM GRINDING FOR VIrTUOSO

A bakery sells chocolate, cinnamon, maple, honey, and jelly donuts. It currently has
48 total donuts in stock. If Xiwen picks one donut from the bakery at random, she
has a 1/4 chance of picking a chocolate donut. How many chocolate donuts does
the bakery have in stock?

Answers

Since the bakery has only 48 donuts in stock and Xiwen has a 1/4 chance of picking a chocolate donut, there are a dozen (12) chocolate donuts in stock.

1/4 = 0.25

0.25 x 48 = 12

PLS HELPPP TIME LIMIT!!!!

Answers

58º + 56º = 114º

180º - 114º = 66º

Express a^ −4 as a positive exponent

Answers

Answer:

I didn't know what is answer

Carolyn watched two movies with her brother. They watched the first movie from 1:38 p.m. to 2:55 p.m. and the second movie from 3:06 p.m. to 4:41 p.m. How long in total did they watch movies?

Answers

Answer:

They watched movies for 2 hours and 52 minutes.

Find the slope of the line passing through (-2, 7) and (0, 1)

Answers

Answer:

-3

Step-by-step explanation:

The equation to find this is:

[tex]m = \frac{y_{2}- y_{1} }{x_{2}-x_{1} }[/tex]

So, plugging the numbers in:

[tex]\frac{7- 1 }{-2-0 } = -3[/tex]

What value of n makes this a true statement?
n 2
4 x 4 =16,384

Answers

Answer:

Step-by-step explanation:

22

PLEASE HELP WILL GIVE BRAINIEST!!! Alex has 25 red, yellow, and orange stress balls. He has twice as many red stress balls as yellow stress balls and three fewer orange stress balls than yellow stress balls. Write and solve an equation to determine how many of each color stress ball alex has.

Answers

Answer: O- 9.5 Y- 12.5 R-25

Step-by-step explanation: Divide 25 by 2 and 12 goes into 25 twice for 24, and then you would be left with 60 and 12x5=60 so you get 12.5 for Yellow then you would subtract 3 from 12.5 for 9.5 for Orange. Tell me if theirs anything you dont understand.

the velocity-time graph for a cycle is shown

Answers

Answer:

its not shwon btw

Step-by-step explanation:

Answer:

Step-by-step explanation:

Do you have a picture I can see?

May I please receive help?

Answers

Answer:

7 and 4

Step-by-step explanation:because yeah

I may be wrong but I believe parallel to just be the same as the original line and the perpendicular I believe is just -7,4 but I’m definitely not sure and just use this to guide cause I haven’t done this in so long.

A book was sold for $575 there by gaining 15%. find the cost price of the book.​

Answers

Answer:

$661.25

Step-by-step explanation:

x over 575 times 15 over 100

100=86.25

86.25 is the 15% upcharge

so add 86.25 to the original price

so 575 + 86.25

$661.25

i hope this helps, if you have question let me know! goodluck

plz mark brainliest thanks!

Jim's alarm clock snoozes every 12 minutes. Jane's alarm clock snoozes every 8 minutes. After how many minutes will they both alarm clocks snoozes at the same time.

Answers

Answer:

48

Step-by-step explanation:

12*4=48

8*6=48

Answer:

24

Step-by-step explanation:

12 + 12 = 24

8 + 8 + 8 = 24

find the common factor !

In a certain arithmetic sequence, consecutive terms have a positive common difference. The first 4 terms of the sequence have a sum of 80. Which of the following values CANNOT be thefirst term of the arithmetic sequence?
a - 10
b - 12
c - 16
d - 18
e - 20

Answers

Answer:

E:20

Step-by-step explanation:

I had the same question and it correct answer was E.

The first term of the arithmetic sequence will be 20. Then the correct option is E.

What is an arithmetic sequence?

Arithmetic succession or arithmetic sequential is a numerical series in which the difference between subsequent terms is uniform.

In a specific number juggling grouping, successive terms have a positive normal distinction. The initial 4 terms of the grouping have an amount of 80.

Let the four terms be a - 3d, a - d, a + d, and a + 3d. Then the sum of the four-term is given as,

a - 3d + a - d + a + d + a + 3d = 80

Simplify the equation, then we have

a - 3d + a - d + a + d + a + 3d = 80

4a = 80

a = 80 / 4

a = 20

The first term of the arithmetic sequence will be 20. Then the correct option is E.

More about the arithmetic sequence link is given below.

https://brainly.com/question/15412619

#SPJ2

After bisecting an angle, Kira has two New angles, each with q measure of 18°. What was the measure of the original angle?
a) 54 degrees
b)18 degrees
c) 9 degrees
d)36 degrees

Answers

Answer:

36 Degrees

Step-by-step explanation:

The definition of an angle bisector is to split the angle into 2 equal parts.

We can then add 18 + 18 degrees to get our original 36 degree angle.

Please mark this as brainliest if this helped you!! Thank you :)

Write 640 g as a fraction of 4.8 kg. Give your answer in its simplest form,

Answers

Answer:

Step-by-step explanation:

640g=640g

4.8kg=4800g

640g/4800g=2/15

Simplify and expand (x-1)(2x+3)

Answers

Answer:

[tex] \longmapsto(x - 1)(2x + 3) \\ = 2 {x}^{2} + 3x - 2x - 3 \\ = \boxed{2 {x}^{2} + x - 3}[/tex]

2x²+x-3 is the right answer.

a) 8xy(1-2x+3y)=
b) (x^2-2)(4+2x^2+x^4)

Answers

Answer:8xy-16x^2y +24xy^2

X^6-8

Step-by-step explanation:

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