2. Find the roots of the following quadratic equations by factorisation:
100x2 - 20x + 1 = 0

Answers

Answer 1

Answer:

x = [tex]\frac{1}{10}[/tex]

Step-by-step explanation:

Given

100x² - 20x + 1 = 0 ← this is a perfect square

(10x - 1)² = 0, thus

10x - 1 = 0 ( add 1 to both sides )

10x = 1 ( divide both sides by 10 )

x = [tex]\frac{1}{10}[/tex]

Answer 2

Answer:

Step-by-step explanation:

100x^2-20x+1=0

100x^2-(10+10)X+1=0

100x^2-10x-10x+1=0

10x(10x-1)-1(10x-1)=0

(10x-1)(10x-1)=0

So roots are X=1/10,1/10


Related Questions

A frosting recipe calls for adding 5 tsp of red food coloring for every 3 tsp of blue food coloring. If you used 15 tsp of blue food coloring, how many tsp of red food coloring would you use to get the same recipe of frosting ?

Answers

Answer:

tsp of red food coloring = 25

Step-by-step explanation:

Red food coloring = 5 tsp

Blue food coloring = 3 tsp

Red food coloring : Blue food coloring = 5 tsp : 3 tsp

Blue food coloring = 15 tsp

how many tsp of red food coloring would you use to get the same recipe of frosting ?

Let

x = tsp of red food coloring

Red food coloring : Blue food coloring = x tsp : 15 tsp

Equate the ratios to find x

Red food coloring : Blue food coloring

5 tsp : 3 tsp = x tsp : 15 tsp

5 / 3 = x / 15

Cross product

5 * 15 = 3 * x

75 = 3x

Divide both sides by 3

x = 75 / 3

= 25

x = 25 tsp

tsp of red food coloring = 25

Which equation represents the vertex form of the equation y= x2 - 6x + 11?
A. y= (x - 3)2 + 2
B. y= (x - 6)2 + 2
C. y= (x - 6)2 +11
D. y= (x - 3)2 + 11

Answers

Answer:

A

Step-by-step explanation:

Use the method of completing the square to express in vertex form.

Given

y = x² - 6x + 11

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = x² + 2(- 3)x + 9 - 9 + 11 , then

y  = (x - 3)² + 2 → A

Answer:A

Step-by-step explanation:

what is the difference between 3/8 and 61/64 redosed

Answers

Answer:

Distance between points =  [tex]37/64\\[/tex]

Step-by-step explanation:

This is a relatively simple problem. Here we have to find the distance between two points on the number line.

The given two numbers are fractions and to find the difference between these two numbers, we have to make their denominators common.

One has denominator as 8 and the other as 64.

We make the common denominator as 64.

Then the fractions 24/64 are 61/64  and .

The distance between the two points = 61/64  - 24/64  

                                = 37/64

Step-by-step explanation:

(first question btw)

please help i will mark brainliest if correct!

Answers

Answer:

(3,9)

Step-by-step explanation:

Because the translation moves 1 in the x direction and 4 in the y direction, you just add those to the starting x and y coordinates.

(2+1, 5+4)

(3, 9)

The first floor of a house consists of a kitchen, playroom, and dining room. The areas of the kitchen, playroom, and dining room are in the ratio 4 : 3 : 2 . The combined area of these three rooms is 189 square feet. What is the value of one box on the tape diagram ?

Answers

Answer:

The value of one box in the tape diagram will be 21 square feet

Step-by-step explanation:

Here, we have the total ratio added as 4 + 3 + 2 = 9

So the area of one box on the tape diagram will be the combined area divided by the total square feet

Mathematically, that will be;

189 square feet/9 = 21

Answer:

21

Step-by-step explanation:

^^^^^^

how long is 74% of 60 min
A. 50
B. 35
C.45

Answers

Answer:

Its c

Step-by-step explanation:

Answer:

yes it is C

Step-by-step explanation:

HELP! GIVING OUT BRAINIEST AND 10 POINTS!!!

Answers

Answer:

i think it's 18

Step-by-step explanation:

no need to

Answer:

x=12

Step-by-step explanation:

If you add HG and GE together, you would get the value for HE. You also get HE if you add HF and FE. Setting HG+GE equal to HF+FE gives us a true equation we can use to solve for x. The math is attached.

please help i will mark brainliest

Answers

Answer:

180, i already commented it but like i even looked it up a straight line is 180

Step-by-step explanation:

2x+3y=122, x, plus, 3, y, equals, 12
Complete the missing value in the solution to the equation.
((left parenthesis
,8),8)

Answers

she me he sid sud iebe Howie

(-2,4) ,(3,-6) point slope form

Answers

Y= -2x for the slope intercept form

7 less than the difference of 12 and 5

Answers

Answer:

the difference of 12 and 5 is 7 so it would be 0

In a board game, Judy scored 5 points more than twice the number of points Ann scored. There was a total of 65 points scored. If Judy scores x points and Ann scores y points . How many points did Judy score?

Answers

Just earned 35 points and Ann earned 30 points

Judy scored 45 points in the board game.

What is the system of equations?

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

In a board game,

Judy scored 5 points, more than twice the number of points Ann scored.

If Judy scores x points and Ann scores y points,

that means,

x = 2y + 5

x - 2y = 5.   {equation 1}

There was a total of 65 points scored.

x + y = 65  {equation 2}

Subtract the equation 2 to equation 1,

we get,

-3y = -60

y = 20

Then, x = 45.

Therefore, 45 points Judy scored.

To learn more about the system of equation;

brainly.com/question/13729904

#SPJ2

Find the distance between (0,5) and (8,9). Round your answer to the nearest tenth.
The distance is about
units.

Answers

Answer:

8.9 units

Step-by-step explanation:

sqrt[(x2-x1)^2+(y2-y1)^2]

sqrt[8^2+4^2]

sqrt(80)

8.9 units

What is the zero of this radical function? x = -4 x = -2 x = 2 x = 4

Answers

Answer:

x = -4

Step-by-step explanation:

Answer: -4 is correct

Step-by-step explanation:

HELP PLEASE ASAP!! WILL GIVE BRAINLIEST ❤️

Find the slope of the line. Enter your answer in simplest form.

Answers

Answer:

slope=4

Step-by-step explanation:

m=y2-y1/x2-x1

4-(-4)=8

5-3=2

8/2=4

hope this helps :3

if it did pls mark brainliest

You and your friend go shopping with $846,375,593. (that's literally the question) You spend 250,678 dollars on shoes, 10,008 dollars on clothes, and 40,034 dollars on accesories. How much money do you both have left?

Later, your friend and you get robbed and the robber takes half of the remaining money. How much do you have left?

Later, you earn $234,485.78. How much do you and your friend now have?

This is the actual question on my homework... I have no clue how to do this... can someone please help me? 50 points!

Answers

Answer:

Initial money -->$846,375,593

You spend 250,678 dollars on shoes, 10,008 dollars on clothes, and 40,034 dollars on accesories.

$846,375,593-$250,678-$10,008-440,034 = $845,674,873

Later, your friend and you get robbed and the robber takes half of the remaining money. How much do you have left?

$845,674,873/2 = $422,837,436.5

You have $422,837,436.5 left.

Answer: Ok look at the explaination

Step-by-step explanation:

$846,375,593 - everything you spend = 846,074,873

You both have 846,074,873 after the shopping spree

To calcute how much is left after the robbery you divide the money you have left by two since the robber took half. Then your are left with 423,037,436

Then you earn money so add 234,458.78 to your 423,037,436 and you have 423,271,922

At the end you are left with $423,271,922

what are the angle measures given the figure is a rhombus???

Answers

Answer:

∠ 1 = 136°

Step-by-step explanation:

The diagonals of a rhombus bisect the angles, thus other side of the diagonal to 22° is also 22°. Making the whole angle = 44°

Consecutive angles are supplementary, thus

∠ 1 + 44° = 180° ( subtract 44° from both sides )

∠ 1 = 136°

PLEASE HELP WILL GIVE 20 POINTS

Use I = PRT to solve.
(time is in years)
P = $450
R = 5%
T = 7 years
Find I.

Answers

Answer:

$150.50

Step-by-step explanation:

I = 450 × 0.05 × 7 = 157.5

I = $ 157.50

The simple interest accumulated

on a principal of $ 450.00

at a rate of 5% per year

for 7 years is $ 157.50.

Hellooo :)

The answer is I = $ 157.50

What is the domain and range of these graphs ?

Answers

1=a 2=c 3=b ..................

Write the slope intercept

Answers

Answer:

It would be 2x -5=y

Step-by-step explanation:

The equation for the two points is 2x -5=y so the slope intercept would be 2x -5=y

Fred opened a bank account with $310. He then deposits $55 per week. Stan started his bank account with $650 and withdraws $30 per week. Set up an equation to represent this situation. After how many weeks, w, will their bank accounts have the same amount in them

Answers

Answer: 4 weeks

Step-by-step explanation:

The brown family has 5 liters of lemonade. Each liters of lemonade weighs 1 kilogram. At the end of the day they have 290 grams of lemonade left. How many grams of lemonade did they drink.

Answers

Answer:

4710grams of lemonade.

Step-by-step explanation:

Step one:

given data

the brown family has 5 liters of lemonade that weighs 1 kg per liter

this implies that they have 5kg of lemonade.

convert 5kg to grams we have 5*1000= 5000grams

(because 1000g is equal to 1kg)

Step two:

if at the end of the day there was 290grams left, then they drank

=5000-290

=4710

They drank 4710grams of lemonade.

Grace paid $54.40 for 8 outdoor pathway lights.
Travis paid $40.25 for 5 of the same lights at a different store.
Use the drop-down menus to explain who paid less per light. pls help me

Answers

Grace paid 6.80 per light because 54.40 divided by 8 is 6.80

Trvais paid 8.05 per light because 40.25 divided by 5 is 8.05

so therefore, grace paid less

two trapezoids-shaped tabletops are congruent to each other trapezoid FGHI =trapezoid WXYZ must be congruent to GH

A. XY

B. WX

C. YZ

D. WZ

Answers

Answer: B: WX

Step-by-step explanation:

HELP QUICK I NEED TO TURN IT IN IN 30 mins

Answers

The answer should be x=12
12


Explanation:

To solve this proportion you would look at what you did to get from 15 to 5 which is divide by 3
So what you do to the bottom you do to the top.
You need to find what number divided by 3 equals 4 OR 4 times what equals 3

4600000000 in standard form

Answers

Answer:

four billion, six hundred million

Step-by-step explanation:

Find the slope plz help help plz

Answers

Answer:

-2

Step-by-step explanation:

The average of four numbers 30.5. three of the numbers are 24.2, 14.5, 50.5
what is the fourth number?

Answers

Aojsiwishsjwiksjshsjwjzbajjajshehehehe

Answer:

32.8

Step-by-step explanation:

The average is calculated as

average = [tex]\frac{sum}{count}[/tex]

let x be the fourth number, then

[tex]\frac{24.2+14.5+50.5+x}{4}[/tex] = 30.5 ( multiply both sides by 4 )

89.2 + x = 122 ( subtract 89.2 from both sides )

x = 32.8

Thus the fourth number is 32.8

what is the following sum ?

Answers

Answer: 4th option

Explanation:

I added a picture so please check it

What is the correct answer for all? ​

Answers

Answer: 13.B

  14.B

15.C

16.A

17.D

18.A

Step-by-step explanation:

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