Find the value of k such that the quadratic equation x(x-2k)+6=0 has real and equal roots

Answers

Answer 1

Answer:

k= [tex]\frac{x^{2}+6 }{2x}[/tex]

Step-by-step explanation:

x(x−2k)+6=0

Step 1: Add -x^2 to both sides.

−2kx+x2+6+−x2=0+−x2

−2kx+6=−x2

Step 2: Add -6 to both sides.

−2kx+6+−6=−x2+−6

−2kx=−x2−6

Step 3: Divide both sides by -2x.

−2kx /−2x  = −x2−6 /−2x

k =


Related Questions

What is the best approximate of the square root of 50

Answers

Answer:7

Step-by-step explanation:

7^2 = 49 (or square root of 49 is 7)

8^2 = 64 (or square root of 64 is 8)

wegnerkolmp2741o plz help me only wegnerkolmp2741o

Answers

Answer:

1. Triangular prism

5 faces6 vertices9 edges

2. Trapezoidal prism

6 faces8 vertices12 edges

3. Pentagonal prism

7 faces10 vertices15 edges

4. Hexagonal prism

8 faces12 vertices18 edges

Given right triangle ABC . To the nearest degree, find the measure of angle B. 20° 43° 47° 70°

Answers

Answer:

The answer is "70°"

Step-by-step explanation:

In the given question an attachment file is missing. so, the attachment file and its solution can be defined as follows:  

Given:

ABC is the right triangle.

Find B=?

Solution:

[tex]\Rightarrow \sin \theta= \frac{p}{h}\\\\[/tex]

[tex]\Rightarrow \sin B^{\circ}=\frac{AB}{AC}= \frac{4.8}{5.1}\\\\[/tex]

[tex]\Rightarrow \sin B^{\circ}= .941[/tex]

[tex]\Rightarrow B^{\circ}= \sin^{-1} (0.941)\\\\\bold{\sin^{-1} (0.941) = 70.2^{\circ}}\\\\\therefore \ \ \ \ \bold{B^{\circ} = 70^{\circ}}[/tex]

Answer:

70

Step-by-step explanation:

BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!!

Answers

Answer:

B

Step-by-step explanation:

Descending order means that the exponents are in decreasing order and the polynomial ends with the constants. Therefore the answer is B.

Answer:

B.

Step-by-step explanation:

Arranged from largest to smallest

Calculate the surface area and the volume of the cylinder.
Pls!! Show how you got the surface area and volume

Answers

See attachment below

what is factorization of the trinomial below 4x^2-20x+24 a)4x(x-4)(x-6) b)4(x-4 )(x-6) c)4(x-2)(x-3) d)4x(x-2)(x-3)

Answers

Answer:

4(x-3)(x-2)

Step-by-step explanation:

4x^2-20x+24

4(x-3)(x-2)

A certain virus is dying off at a rate of 18% per hour. Initially there were
40,000 grams of the strain. If this continues at this rate, how much of the
strain would still be alive after 48 hours? (Round your answer to the
nearest whole number.) *

Answers

Answer:

3 strain would still alive after 48 hours

Step-by-step explanation:

Initial population of virus = 40000 grams

A certain virus is dying off at a rate of 18% per hour.

We are supposed to find  how much of the  strain would still be alive after 48 hours

Formula : [tex]N(t)=N_0(1-r)^t[/tex]

[tex]N_0[/tex]=Initial population

N(t)= Population after t hours

r = rate of decrease = 18% = 0.18

t = time = 48 hours

So,the  strain would still be alive after 48 hours=[tex]40000(1-0.18)^{48}=2.91 \sim 3[/tex]

Hence 3 strain would still alive after 48 hours

Simplify: (-4/15) - (9/10) *

Answers

Answer:

Given

Step-by-step explanation:

(-4/15)-(9/10)

LCM = 150

(-4/15)= (-40/150)

(9/10)= (135/150)

So the equation becomes

= (-40/150)-(135/150)

= (-40-135)/150

= (-40+-135)/150

= -175/150

= -7/6 ( divide both by 25 to simplify)

The simplified value of  (-4/15) - (9/10)  is -7/6

How to simplify step by step using BODMAS rule?

The given question is (-4/15) - (9/10)

first take L.C.M 15 and 10 which is 30.

⇒divide 30 by both the denominator  10 and 15 which is 3 and 2 respectively.

⇒multiply 3*-9 and 2*-4

⇒now solve using sign.

(-4/15) - (9/10)

[tex]\frac{(-4*2)-(9*3}{30}[/tex]

   ⇒[tex]\frac{-35}{30}[/tex]

  ⇒ [tex]\frac{-7}{6}[/tex]

Learn more about Simplification here: https://brainly.com/question/723406

#SPJ2

The units of the subway map at the right are in miles. Suppose the routes between stations are straight, find the distance you would travel between each the Elm and Symphony Stations. Round your answer to the nearest tenth of a mile. The distance between the Elm and Symphony Stations is how many miles?

Answers

Answer:

Distance between 2 stations= 8.94 miles

Step-by-step explanation:

The coordinates of Symphony Station is given by:

Symphony Station: (x₁ , y₁) : (1,2)

The coordinates of Elm station is given by:

Elm Station: (x₂ ,y₂) : (-3,-6)

We know that the distance formula can be used to find distance between these 2 points. Distance formula is given as

d= √((x₂ - x₁)² + (y₂ - y₁) ²)

Substitute values

d= √((-3 - 1)² + (-6 - 2) ²)

d= √((-4)²+(-8)²)

d= √(16+64)

d=√80

d= 8.94 miles

Simplify (x-5)-(x-1)

Answers

Answer:

-4

Step-by-step explanation:

→Distribute the -1 to (x - 1):

(x - 5) - (x - 1)

x - 5 - x + 1

→Add like terms (x and -x, -5 and 1):

-4

Answer:

-4

Step-by-step explanation:

(x-5)-(x-1)

x-5-x+1

x-x-5+1 = -4

Find the slope of the line that passes through (2, 5) and (7, 8).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

(8-5)/(7-2)= 3/5

Step-by-step explanation:

proper fraction

50 pts help pls...

Combine Felix's and Tyler's data. What is the mean of the combined data? Include your calculations as part of your answer. (Hint: Use a shortcut to find the answer.)

Felix

mean = 9.4

median = 7

Tyler

mean = 54

median = 66

Answers

Felix and Tyler means
Mean = (9.4+54)/2= 31,7
Median= (7+66)/2= 36,5

Is this what you are looking for??

how do I solve: 8 – (m - 3) = 7 – 3m​

Answers

Answer:

m=-2

Step-by-step explanation:

8-(m-3)=7-3m

8-1(m)-1(-3)=7-3m

8-m+3=7-3m

-m+3m+8+3=7-3m+3m

2m+8+3=7

2m+11=7

2m=-4

m=-2

Hope this helps!

Step-by-step explanation:

So, this is how you do it.

Which operation should you perform first in the expression 7 × 23?

Answers

Answer:multiplication

Step-by-step explanation:

Answer:

Multiplication

Step-by-step explanation:

Remember PEMDAS.

This is the order of operations

Parentheses, exponents, multiplication, division, addition, and subtraction.

That is the order you need to do things in, and in this case, since there are no other operations, the answer is multiplication.

PLEASE HELPP ME FAST!!!!! solve for x. Show your work -1/2x < -12

Answers

Answer:

-1/2x<-12

Multiply through by 2

-x < -24

Multiply through by -1

x > 24

Hope this helps.

PLSS HELP ME FIND THE SURFACE AREA OF THE TRIANGULAR PRISM

THXXSSSS AND HURRY PLS

Answers

Answer:

108m^2

Step-by-step explanation:

surface area of any shape: sum of the area of its sides.

area of cross section x 2 = 4 x 3 12 m^2

area of slope:  5m x 8m = 40m^2

area of base: 8 X 3 = 24 m^2

area of back: 8m x 4m = 32m^2

sum = surface area = 108m^2

Please mark brainiest

If the 6th terre
an Alis 11 and the first term is 1
find the common difference

Answers

Answer:

6th term = 11

1st term = 1

d = 11 - 1/5 = 2

One ounce of cheddar cheese contains 9 grams of fat. Six of the grams of fat are saturated fats. Find the ratio of saturated fats to total fat in an ounce of cheese.

Group of answer choices

6:9

2:3

3:2

9:6

Answers

Answer: 6:9

Just divide  saturatedfats/TotalFats=6/9

Step-by-step explanation:

Are the ratios 5:15 and 1:3 equivalent

Answers

Answer:

Yes, both are one third of the other number

Step-by-step explanation:

Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number.

// have a great day //

Yes, both of them are equivalent.

Which phrase should be inserted on the line to correctly compare the two fractions? Use the models to help.

Answers

Answer:

is greater than

Step-by-step explanation:

The answer is C less than we got it wrong

Step-by-step explanation:

Find the sum of (1-1/n) + (1-2/n) + (1 - 3/n)....upto n terms

Answers

Answer:

(n - 1)/2

Step-by-step explanation:

F = (1 - 1/n) + (1 - 2/n) + (1 - 3/n) + ...(1 - n/n)

  = (1 + 1 ... + 1) - (1/n + 2/n + 3/n + ...n/n)

     (there are n terms of 1)

  = n - (1 + 2 + 3 + ... + n)/n

  = n - [n x (n + 1)/2]/n

  = n - [n x (n + 1)]/[2 x n]

  = n - (n+1)/2

  = (2n - n - 1)/2

  = (n - 1)/2

Hope this helps!

tom gets a bonus of 30% of £96

sally gets a bonus of £31.40

work out the difference between the bonus that tom gets and the bonus that sally gets

Answers

Answer:

The difference between the bonus is £2.6

Step-by-step explanation:

First, you have to calculate the amount that Tom get for his bonus. So you have to multiply 30% to £96 :

[tex] \frac{30}{100} \times 96 = 28.8[/tex]

Next, you have to subtract Tom's amount from Sally's amount because Sally has the higher amount of bonus than Tom :

[tex]31.4 - 28.8 = 2.6[/tex]

1) A camera costs £180 in a 10% sale. What was the pre-sale price

Answers

Answer:

£200

Step-by-step explanation:

Let the original price of the camera be x.

The 10% discounted price of the camera is £180. This means that 10% of x was deducted from x to give £180:

x - (10/100 * x) = 180

x - 0.1x = 180

0.9x = 180

x = 180 / 0.9 = £200

The pre-sale price was £200.

Solve the following quadratic equation.
(x - 16)^2 = 256

A. x = -32 and x = 0
B. x = 30 and x = -4
C. x = -30 and x = 4
D. x = 32 and x = 0

Answers

The answer is D. x = 32 and x = 0

Answer: D. x = 32 and x = 0

============================================================

Explanation:

Think of x-16 as y. In other words, let y = x-16

We have (x-16)^2 = 256 become y^2 = 256.

Solve for y to get y = 16 or y = -16. You apply the square root to both sides. Don't forget about the plus/minus. This is because (-16)^2 = (-16)*(-16) = 256. We square the negative as well.

--------

If y = 16, then y = x-16 solves for x to get

y = x-16

16 = x-16

x-16 = 16

x = 16+16

x = 32 is one solution

---------

Plug in y = -16 and isolate x

y = x-16

x-16 = y

x-16 = -16

x = -16+16

x = 0 is the other solution

----------

We can check each answer by plugging them back into the original equation

Let's try x = 0

(x-16)^2 = 256

(0-16)^2 = 256

(-16)^2 = 256

256 = 256 ... works

Now try x = 32

(x-16)^2 = 256

(32-16)^2 = 256

(16)^2 = 256

256 = 256 ... also works; both answers have been confirmed

9y + 6 + 2(5 + y) = blank y + blank

Answers

Answer:

11y+16

Solution,

[tex]9y + 6 + 2(5 + y) \\ = 9y + 6 + 10 + 2y \\ combine \: like \: terms \\ = 9y + 2y + 6 + 10 \\ simplify \\ = 11y + 16[/tex]

hope this helps...

Good luck on your assignment..

Answer:

11y+16

Step-by-step explanation:

9y+6+2(5+y)=

9y+6+10+2y=

Combine like terms

11y+6+10=

11y+16

(15 POINTS AND BRAINLIEST)

A health club has a one time membership fee of $99, then charges $15 per month for members.

a) Write an equation in slope-intercept form for the cost y of joining the club
for x months.


b) How much has Muscular Marty paid if he has been a member for one year?

Answers

Answer:

a) The line will be y = 15x + 99 because the 99 is a one time purchase.

b) After 1 year, x will be 12 so Muscular Marty will pay 15 * 12 + 99 = $279.

Answer:

a) y = 99 + 15x

b) 279

Step-by-step explanation:

b) 1 yr = 12 months

thus x is 12

y = 99 + 15(12) = 99 + 180 = 279

At Shimla, temperature was -1℃ on Saturday and rose by 3℃ on Sunday. What was the temperature on Sunday?

Answers

Answer is 2 °C
-1 + 3 = 2

Find the volume of the prism
pls!! show how you got the volume ​

Answers

Answer:

Step-by-step explanation:

The way you can solve this is by splitting the cube into two parts.

Split the top cube apart from the bottom cube and then find the volume of each and add them together.

The first cube on top would be 80x90x75= 540000 centimeters

The second cube would be 270x75x80=1620000 centimeters

540000+1620000=2160000 centimeters

Hope this help!

Comment if you would like a visual drawing of the math!!

(Also the answer can be written as 21600 meters)

Solve 4x -1 = 3x – 5 pls answer

Answers

Answer:

[tex]\fbox{\begin{minipage}{4em}x = -4\end{minipage}}[/tex]

Step-by-step explanation:

Given:

Equation:  [tex]4x - 1 = 3x - 5[/tex]

Solve for:

[tex]x[/tex]

Solution:

Step 1: Select relevant approach:

Let's move all the components containing x to the left side and other components to the right side (notice the change of sign of each one from positive to negative and negative to positive), then solve for [tex]x[/tex]

Step 2: Perform the calculation:

       [tex]4x - 1 = 3x - 5[/tex]

Moving components:

<=>  [tex]4x - 3x = 1 - 5[/tex]

Performing simplification to get [tex]x[/tex]

<=>[tex]x = -4[/tex]

Hope this helps!

:)

Anna bought a backpack for $36.
She also bought a lunch box for $15.
Which is the total amount of money Anna spent?

Answers

Answer:

Anna spent $51 in all.

Step-by-step explanation:

36+15=51

Answer:

$51

Step-by-step explanation:

Anna bought two items: a backpack and a lunch box. If we want to find the total amount of money Anna spent, we have to add the price of the backpack and the price of the lunchbox.

price of backpack+price of lunchbox

The backpack cost $36 and the lunchbox cost $15

$36+$15

Add 36 and 14

$51

Anna spent $51 in total

Other Questions
write the balanced standard combustion reaction for the c5h7on3s2 Iron atoms combine with oxygen atoms to form rust. Is this a physical property of iron or a chemical property? EASY question for yall mathy people, easy points! Question in photo. A right rectangular prism has a length of 2 and 1/2 ft a width of 3ft and a height of 1 and 1/2. Unit cubes with side lenghts of 1/2 ft are added to completely fill the prism with no space remaining. What is the volume in cubic feet of the rectangular prism? A pipe cleaner lay across a wire shelf. The wires that make up the shelf are parallel, and the pipe cleaner is a transversal. The parallel wires are labeled a, b, and, c, and the angles are labeled with numbers.The measure of one angle is 130. Which statement is true regarding the 130 angle and angle 3?They are same-side interior angles, so angle 3 measures 50.They are alternate interior angles, so angle 3 also measures 130.They are corresponding angles, so angle 3 also measures 130.They are alternate exterior angles, so angle 3 measures 50. According to the Unit, students should perform independent reading for at least half an hour a day.O Trueo False write with fractional exponents. (do not use parentheses)ASAP ASAP IM REALLY BAD AT ALGEBRA ): !!!!! jill mixes two types of concentrations od hci (hydrochloric acid) 0.375 liters of 25% hydrochloric acid and 0.625 liters of 65% hydrochloric acid. what is the hcl concentration in the mixed solution? Please Somebody Help Me! Which of the following did the MOST to destroy the Plains Native Americans' way of life?O A increased use of rifles by Native American huntersB.Native Americans' limited technological developmentC.Native Americans' belief in the Ghost Dance religionOD.sharp decline in the bison population True of False: The graph of a rational function R never intersects a vertical asymptote. True or False: The graph of a rational function R never intersects a horizontal asymptote. True or False: The graph of a rational function R never intersects an oblique asymptote. Roadside, Inc. had the following balances and transactions during 2018:Beginning Merchandise Inventory10units at $ 72March 10Sold 8unitsJune 10Purchased 20units at $ 82October 30Sold 14unitsWhat is the amount of the company's ending Merchandise Inventory, as disclosed in the December 31, 2018 balance sheet, using the periodic LIFO inventory costing method? Write the name of each numbered part of the eye. what is the color of benzene and bromine I need this fast plz, 50 pointsBy doing which action will you decrease the number of collisions and energy of reactant molecules? A.) decreasing the temperature of the reactant mixture B.) increasing the pressure of the reactant mixture C.) decreasing the concentration of reactants D.) adding a catalyst 2. Explain the relationship between an individual and a society. Please answer this correctly What company should he rent from Suppose the demand for a certain brand of a product is given by D(p)equals=StartFraction negative p squared Over 116 EndFractionp2116plus+200200, where p is the price in dollars. If the price, in terms of the cost c, is expressed as p (c )equals 2 c minus 10p(c)=2c10, find the demand function in terms of the cost. Mr. Landry, the owner of Blissful Bites Bakery, prepares 30 pounds of cake batter each morning. Mr. Landry uses half of the cake batter to make large cupcakes. If he makes 48 cupcakes, how many ounces of cake batter does he use for each cupcake?