If a and B are the zeros of the quadratic polynomial f(x) = x2- 5x + 4 find the value of 1/a+1/b-2ab

Answers

Answer 1

Answer:

-27/4

Step-by-step explanation:

Given the quadratic polynomial given as g(x) = x²- 5x + 4, the zeros of the quadratic polynomial occurs at g(x) = 0 such that x²- 5x + 4 = 0.

Factorizing the resulting equation to get the roots

x²- 5x + 4 = 0

(x²- x)-(4 x + 4) = 0

x(x-1)-4(x-1) = 0

(x-1)(x-4) = 0

x-1 = 0 and x-4 = 0

x = 1 and x = 4

Since a and b are known to be the root then we can say a = 1 and b =4

Substituting the given values into the equation  1/a+1/b-2 ab , we will have;

= 1/1 + 1/4 - 2*1*4

= 1 + 1/4 - 8

= 5/4 - 8

Find the Lowest common multiple

= (5-32)/4

= -27/4

Hence the required value is -27/4


Related Questions

Select the graph that shows the correct sum.

Answers

Step-by-step explanation:

no graphs included. need photos or words to answer.

Answer: Its B (FtG)(x)

Step-by-step explanation:

Two angles are supplementary. One angle is 184° less than three times the other. Find the measures of the angles.

91°, 89°

96°, 84°

86°, 94°

90°, 86°

Answers

Answer:

           91°, 89°

Step-by-step explanation:

The sum of suplementary angles is allways 180°

so:

x  -   the other angle

3x  - three times the other angle

180°- x  - one angle

180° - x + 184° = 3x

   364° = 4x

     x = 91°

180°- x = 180° - 91° = 89°

If there are 2.54 cm in 1 inch how long is a 36 inch long measuring stick in cm

Answers

Answer: The answer is 91.44 centimeters/cm

Step-by-step explanation:

2.54*36= 91.44 centimeters/cm

A 36-inch long measuring stick is equivalent to 91.44 cm.

To convert inches to centimeters, we can use the conversion factor:

1 inch = 2.54 cm

To find out the length of a 36-inch measuring stick in centimeters,

we multiply the length in inches by the conversion factor:

36 inches x 2.54 cm/inch

= 91.44 cm

Therefore, a 36-inch long measuring stick is equivalent to 91.44 cm.

Learn more about Unit Conversion here:

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-5=-2/9x
I dont know the answer​

Answers

-5=-2/9x.

x=22.5 / x=45/2

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = \frac{2}{45} }}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 5 = \frac{ - 2}{9x} }[/tex]

Apply cross product property

[tex] \dashrightarrow{ \sf{ - 5 \times 9x = - 2}}[/tex]

[tex] \dashrightarrow{ \sf{ - 45x = - 2}}[/tex]

Divide both sides by -45

[tex] \dashrightarrow{ \sf{ \frac{ - 45x}{ - 45} = \frac{ - 2}{ - 45} }}[/tex]

[tex] \dashrightarrow{ \sf{x = \frac{2}{45} }}[/tex]

Hope I helped!

Best regards! :D

PLLLLZZZZZ HELPP ASAP

Answers

Answer:

option first cause

-2(y-5)= 3y+10-5y

-2y+10=-2y+10

Step-by-step explanation:

Ira went to the movies with $35.91 in
his pocket. He paid $12.50 for his
movie ticket, $6.25 for popcorn, and
$3.80 for a drink. How much is left in
his pocket?

Answers

Answer:

$13.36

Step-by-step explanation:

12.5+6.25+3.8=22.55

35.91-22.55= 13.36

The answer is $13.36

5(x−6+3x)2−6 where x=2 .

Answers

Answer:

14

Step-by-step explanation:

5(x−6+3x)2−6

10(4x-6)-6

40x-60-6

40x-66

x=2

40*2-66

80-66

14

what is the trick to solving any math word problem?​

Answers

Answer:

by memories the formula and practice questions

Answer:

Break it down

Take it slow

Step-by-step explanation:

By taking apart the information given, you can decide what information is useful and what isn't.

Don't rush this process. If you try and rush through math, you will likely make a mistake.

Enter the fraction 1/5 as a decimal

Answers

Answer:

.2

Step-by-step explanation:

do 1 divided into 5 in long division.

you will end up with .2

Answer:

1/5 = 0.2

U have to divide 5 ÷ 1...long division

Hope it helped u if yes mark me BRAINLIEST

Factoring expressions 3x+ 12

Answers

Answer:

3(x + 4)

Step-by-step explanation:

Factor out a 3 from both terms, since 3 and 12 are both divisible by 3.

3x + 12

3(x + 4)

So, the factored expression is 3(x + 4)

Answer: 3(x+4)

Step-by-step explanation:

Hii! Do you need to factor the expression 3x+12? No problem! :)

Note that, both 3x and 12 have something in common. This "something" is known as the greatest common factor, or g.c.f.

The g.c.f. of 3x and 12 is 3, so we divide both 3x and 12 by 3

x+4; next we put parentheses around x+4.

(x+4)

Now  we put 3 outside the parentheses.

3(x+4)

Voila! There's our solution, cheers!

--

Hope that this helped! Best wishes.

--

dilations please help

Answers

Answer:

C'(2, 1 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin then multiply the coordinates of C by [tex]\frac{1}{3}[/tex] , that is

C(6, 3 ) → C'( [tex]\frac{1}{3}[/tex] (6), [tex]\frac{1}{3}[/tex] (3) ) → C'(2, 1 )

5) Alex's house (point F) lies on the same street as her school (point H). Alex's bus stop (point G) lies between her
house and her school. Given FG equals (2x) meters, GH = 1,000 meters, and FH equals 1.200 meters, what is z?
Answer:​

Answers

Answer:

100 meters

Step-by-step explanation:

Given the following :

Alex house = F

Alex school = H

Alex bus stop = G

FG = 2x meters

GH = 1000meters

FH = 1200 meters

Hence,

FH = FG + GH

1200 = (2x + 1000) meters

1200 = 2x + 1000

1200 - 1000 = 2x

200 = 2x

x = 100meters

Hence, x = 100 meters

if this figure is reflected across the x-axis, what is the orientation of the reflected figure?

Answers

It would be easy to answer if there was a picture:))))

Point Mis on line segment LN. Given LN = 9, MN = 4x, and LM = 52,
determine the numerical length of MN.

Answer: MN =

Answers

Answer:

Step-by-step explanation:

9 + 4x = 52

4x = 43

x = 10.75

4(10.75) = 43

If f(x) = 4x + 2 and g(x) = x2 + 7, find each value:
1. f(4)
2. f(-2)

Answers

1. Replace x by 4
F(4)=4(4)+2=10
G(4)= (4)2+7=15
2. replace x by -2
F(x)=4(-2)+2= -6
G(x)= (-2)2+7= 3
Please give me brainliest!

Distribute the expression (u - 6) x 4.​

Answers

4u-24 because you have to take 4 and multiply it by your things inside your parentheses

Answer:

4u - 24

Step-by-step explanation:

(u-6)*4

Distribute

4*u - 4*6

4u - 24

3x + 2 - 4x - (-2x)
How did I get my answer

Answers

3x+2-4x-(-2x)
Add like terms
(3x-4x+(+2x))+2
=2+x

Let's simplify step-by-step.

3x+2−4x−−2x

=3x+2+−4x+2x

Combine Like Terms:

=3x+2+−4x+2x

=(3x+−4x+2x)+(2)

=x+2

Answer:

=x+2

i hope this helps you

A group of 6 students was asked, " How many hours did you watch television last week?" Here are their responses 17 , 15 , 5 , 8 , 20 Find the mean number of hours for these students. If necessary, round your answer to the nearest tenth.

Answers

Answer:

13 hours

Step-by-step explanation:

Mean=sum of observations/number of observations

=>17+15+5+8+20/5

=>65/5

=>13

Answer:  14.2

Step-by-step explanation:

The numbers are 17,15,5,8,20, and 20   and to find their mean you need to find their average which their sum divide by the number of values.

17 + 15 + 5 + 8 + 20 + 20 = 85

85 /6 = 14.1666...  and rounded to the nearest tenth is 14.2

Janelle subtracts -4 from a number the result is 2 what is the number​

Answers

Answer:

6

Step-by-step explanation:

Unknown number = x

So,

x - 4 = 2 (add 4 to both sides)

x - 4 + 4 = 2 + 4

x = 6

The total bill for a restaurant meal includes the cost of the meal, m, a 5% tax on the
food, and a tip, t. The expression representing the total cost is m + 0.05m + t.
Which expression represents the tax paid on the meal?

Answers

Answer:

Hey there!

The tax paid on the meal is represented by 0.05m.

Let me know if this helps :)

Tell me all the properties of algebra

Answers

Answer:

Commutative Property of Addition.-  2 + 3 = 3 + 2  Commutative Property of Multiplication.- ex. 5 × 7 = 7 × 5  Associative Property of Addition.- ex.(2 + 3) + 6 = 2 + (3 + 6)  Associative Property of Multiplication.- ex. (7 × 3) × 10 = 7 × (3 × 10) Distributive Properties of Addition Over Multiplication- ex. 2 × (2 + 8) = 2 × 2 + 2 × 8  (2 + 8) × 10 = 2 × 10 + 8 × 10The reciprocal of a non zero real number a is 1/a.- ex. reciprocal of 5 is 1/5 and 5 × (1/5) = 1

Step-by-step explanation:

A ream of a certain brand of paper weighs about 3.225 pounds. A ream contains 500 sheets of paper. How much does a sheet of paper​ weigh?

Answers

Answer:

A single sheet of paper should weigh: 0.00645 pound or  [tex]6.45*10^{-3}[/tex] (in scientific notation)

Step-by-step explanation:

Divide 3.225 (the weight of the ream of paper) by 500 (the amount of paper in a ream).

If you need the scientific notation form, simply move the decimal point/place right or left until you end up with a whole number that is between 1 and 10 (in this case, 3 times to the right), then determine what power of 10 it should be, depending on the number of times you moved the decimal place (in this case, the power is -3).

The power/exponent is determined by the direction you have to move your decimal point, right=negative and left=positive. For example, if you started off with the number 6450, you would move the decimal point 3 times to the left and your power would be positive 3, which results in [tex]6.45*10^{3}[/tex].

Hope this helps!

Which of the following options have the same value as 25% of 64?

Answers

Answer : option b, and option c


Explanation: 25% of 64 is 16
And both options are equal to 16

Which scenario shows the best example of intrinsic motivation? O Zareem takes good notes in class to know the lesson better. O Yuto answers questions in class to impress the teacher. O Arthur prepares study sheets in class for other students. O Nikita shows up to class to avoid getting into more trouble.​

Answers

Answer:

The first one. Zareem takes good notes in class to know the lesson better

The first one. is the answer

how many pounds are in 5 kg
11.025 pounds
15.435 pounds
15.876 pounds
24.255 pounds​

Answers

Answer:

11.025 pounds are in 5kg

Ur answer is a ur welcome

Simplify the expression (4 + 5i)(4 − 5i). 16 − 20i 16 + 20i −9 41

Answers

Answer:

41

Step-by-step explanation:

Simplify the following:

(5 i + 4) (-5 i + 4)

Hint: | Multiply 4 + 5 i and 4 - 5 i together using FOIL.

(4 + 5 i) (4 - 5 i) = (4) (4) + (4) (-5 i) + (5 i) (4) + (5 i) (-5 i):

4×4 + 4 (-5 i) + 5 i×4 + 5 i (-5 i)

Hint: | Multiply 4 and 4 together.

4×4 = 16:

16 - 5×4 i + 5 i×4 + 5 i (-5)×i

Hint: | Multiply 4 and -5 together.

4 (-5) = -20:

16 + -20 i + 5 i×4 + 5 i (-5)×i

Hint: | Multiply 5 and 4 together.

5×4 = 20:

16 - 20 i + 20 i + 5 i (-5)×i

Hint: | Combine products of like terms.

5 i (-5)×i = 5 i^2 (-5):

16 - 20 i + 20 i + -5×5 i^2

Hint: | Evaluate i^2.

i^2 = -1:

16 - 20 i + 20 i - 5×5×-1

Hint: | Multiply 5 and -1 together.

5 (-1) = -5:

16 - 20 i + 20 i - 5-5

Hint: | Multiply -5 and -5 together.

-5 (-5) = 25:

16 - 20 i + 20 i + 25

Hint: | Evaluate 16 - 20 i + 20 i + 25.

16 - 20 i + 20 i + 25 = 41:

Answer:  41

Answer:

Cant give as good of as answer like the other person but it is 41!

Step-by-step explanation:

the file is attached and those are the question. i will give brainliest

Answers

The file isnt showing up

Mr. and Mrs. Tournas know that their son will attend a college, in 14 years, that they estimate to cost approximately $250,000. How much should they deposit now if they assume that they can earn 8.5% compounded annually?
a) $72,083.41
b) $76,055.32
c) $75,450.20
d) $79,785.45

Answers

Answer: D

Step-by-step explanation:

We will try it to determine how much the need to save using the exponential function. In an exponential function,we need the start up amount and the common difference.

We know that the common difference is is 1.085  because if they will earn 8.5% interest plus 100% .

So  1.085 raised to the number of years times a number has to equal 250,000

x * 1.085^14 = 250,000   now solve for x

3.13340357495x = 250,000

x = 79785.44544 Rounded to the nearest cent is $79785.45

If RT 36 find the value of x

Answers

Answer:

the answer is 36

Step-by-step explanation:

RTLM+x=36

Which value must be added to the expression x2 + x to make it a perfect-square trinomial? One-fourth One-half 1 4

Answers

Answer:

a. ¼

(Below is the Screenshot on EdgeCourseware)

1/4 must be added to the given expression to make it a perfect-square trinomial.

The given expression is x²+x.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Add 1/4 to the given expression, we get

x²+x+1/4

= x²+x+(1/2)²

= (x+1/2)²

Verification:

x²+2.x.1/2+1/4

= x²+x+1/4

Therefore, 1/4 must be added to the given expression to make it a perfect-square trinomial.

To learn more about an expression visit:

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