using completing the square method in quadratic equation 5x²+ 11x + 2=0​

Answers

Answer 1

Answer:

x= 1/5 or -2

Step-by-step explanation:

5x² +11x +2= 0

(Divide through by the coefficient of x²)

5x²/5 + 11x/5 + 2/5 = 0/5

x² + 11x/5 + 2/5 = 0

(take the constant to the other side)

x² + 11x/5 = -2/5

(Add 1/2 of the coefficisint of x all square to both sides)

x² + x + (11/5 × 1/2)² = -2/5 + (11/5 × 1/2)²

x² + x + (11/10)² = -2/5 + (11/10)²

x² + x + (11/10)² = -2/5 + 121/100

(eliminate x )

x² + (11/10)² = (20(-2) + 121 ) ÷ 100

(x + 11/10 )² = (-40 + 121) ÷ 100

(x + 11/10 )² = 81/100

(square both sides)

x + 11/ 10 =√(81/100)

x + 11/10 = 9/10

x = -11/10 +or- 9/10

x = -11/10 + 9/10 or -11/10 - 9/10

x = (-11 + 9) ÷ 10 or (-11-9) ÷ 10

x = -2/ 10 or -20/10

x = -1/5 or -2


Related Questions

calculeaza aria unu paralelogram cu latura 3 radical 2 cm si inaltimea 2cm

Answers

Answer:

Aria unui paralelogram [tex]=6\sqrt{2}[/tex]

Step-by-step explanation:

Folosind formula:

Aria unui paralelogram = (baza x înălțimea)

                                       = (3√2 x 2)

                                        [tex]=6\sqrt{2}[/tex]

Aria unui paralelogram [tex]=6\sqrt{2}[/tex]

Answer:

6 radical din 2

Step-by-step explanation:

aria paralelogram=b. h =3 rad 2 . 2=6 radical din 2 cm partati

In a repeating musical pattern there are 64 beats in 8 measures. How many measures are there after 96 beats? Find the unit rate.

Answers

Answer:

12 measures

Step-by-step explanation:

Step 1:

64 : 8        Ratio

Step 2:

64 : 8 = 96 : x         Equation

Step 3:

64x = 768       Multiply

Step 4:

x = 768 ÷ 64       Divide

Answer:

x = 12

Hope This Helps :)

how do you solve this? ​

Answers

Answer:

i have no idea.....

Step-by-step explanation:

Answer:

sin(5x)

Step-by-step explanation:

Recall that the half angle identity relates the sine of half an angle to the square root of one minus the cosine of the angle as shown below:

[tex]sin(\frac{\theta}{2} )=+/-\sqrt{\frac{1-cos(\theta)}{2} }[/tex]

therefore, in our case:

[tex]sin(5\,x )=+/-\sqrt{\frac{1-cos(10\,x)}{2} }[/tex]

so, make sure you type the expression : "sin(5x)" in the provided text-box.

What is the x-coordinate of point B? Write a decimal coordinate.
(brainliest ) Edge 2020

Answers

The coordinate of point B is approximately (-1.5, 3.5).

twenty students went to a fast food restaurant everyone ordered a hamburger and a drink hamburgers cost 3.25 each and drinks cost 1.15 each

Answers

What are you trying to ask?

I need this ASAP!!! Please help!!!
The water depth for a pool is set to 6 feet, but the
actual depth of the pool may vary by as much as 4
inches. Write and solve an absolute value inequality
to find the range of possible water depths in inches.

Answers

Answer:

4

Step-by-step explanation:

Absolute value is just the number without and negative signs, for example, -5 would have an absolute value of 5

Write in terms of i. Simplify as much as possible.

-√-45

Answers

Answer:

I got - 6.70820393 i

Step-by-step explanation:

let me know if I am wrong :)

Write each decimal as a percent: 2.65

Answers

Answer:

0.0265

Step-by-step explanation:

The number 1.255 is an example of a terminating or repeating
decimal number?

Answers

Answer:

Terminating

Step-by-step explanation:

Since the number ends exactly after 3 decimal places, it is a terminating decimal number.

On the other hand, repeating decimal numbers are numbers such as 2.33... or 8.66... that repeat the number forever.

So, the number 1.255 is terminating.

Actual lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy length with a standard deviation of 13 days. About what percentage of births would be expected to occur more than 39 days after the mean pregnancy​ length?

Answers

Answer:

just getting points i hope u find the answer tho

Step-by-step explanation:

BEST ANSWER GETS BRAINLIEST
A truck is moving at a fixed speed. e Find the speed of the truck. Write a formula that connects D and T. What is the coefficient of variation k?

Answers

Answer:

1. The speed of the truck, S = D/T.

2. The formula that connects D and T is: S = D/T.

3. The coefficient of variation, k, is the ratio of the standard deviation to the mean speed.

Step-by-step explanation:

a) The speed of a truck at a fixed speed is given as the distance covered by the truck divided by the time it takes the truck to cover the said distance.  This implies that speed is a function of distance and time.  However, this formula represents the mean speed.  There are variations in speed.

b) If the truck covers a distance of 60 kilometers, for example, under 3 hours, we can conclude that the speed is 20 kilometers per hour (60/3) or 20 km/hr.

Aye please help! It is a late assignment I missed math class so please helppp!

Answers

Answer:

$3

Step-by-step explanation:

When doing estimation, you would want the estimated amount to be rounded off to a number that can be divisible by the question, which in this case is 4. Thus, I will be rounding $11.87 to $12.

11.87 ≈ 12

Amount each friend will pay ≈ 12÷4

                                               = 3

Suppose it is certain that an earthquake will occur someday. What is the probability (to the nearest percent) that it will occur while you are at work? Assume you are at work 8 hours per day, 240 days per year.

Answers

Answer:

22%

Step-by-step explanation:

Given that:

Number of hours at work daily = 8 hours

Number of days at work per year = 240

Total number of hours at work per year = Number of hours at work daily [tex]\times[/tex] Number of days at work per year

Total number of hours at work per year = 8 [tex]\times[/tex] 240 = 1920 hours

Total number of days in an year = 365

Total number of hours per day = 24

Total number of hours in an year = 24 [tex]\times[/tex] 365 = 8760

Here, to find the probability that the earthquake will occur while the person is at work, we actually have to find the fraction of number of hours at work to the total number of hours in an year.

Therefore, the required probability is:

[tex]\dfrac{1920}{8760} \approx \bold{0.2191}[/tex]

Therefore the probability to the nearest percent is: 22%

Can someone please do this?

Answers

All of them except for 72441 are divisible by 2

Y=4x +2
Y = 4x+0.5
y=-2x + 2
Y=3X-10​

Answers

Answer:is this a quiz

Step-by-step explanation:

?

Select all that apply.

A graph shows _____ in picture form.


variables
facts
color
statistics
sums
data
Note: There is not just one answer

Answers

I think statistics and data hope that helps

What is the volume, measured in cubic centimeters, of the box below? Do not
include units in your answer.
4 cm
5 cm
1 cm

Answers

Answer:

20

Step-by-step explanation:

4 × 5 × 1 = 20 (cm³)

Hope it help, please give me Brainlest!

Answer:

20

Step-by-step explanation:

The formula for volume:

[tex]V=length*width*height\\\\V=lwh[/tex]

Multiply all given values together:

[tex]V=4*5*1\\\\V=20*1\\\\V=20[/tex]

The volume of the box is 20cm³.

:Done

Note:

"Cubic" centimeters means cm³. The exponent is used because you multiplied 3 dimensions.

Another example would be with area. To find this, you multiply length by width, resulting in area², because you mutliplied 2 dimensions.

convert 6 2/5 to a percent?

A) 6.4%
B) 64%
C) 640%
D) 6,400%​

Answers

Answer:

C) 640%

Step-by-step explanation:

6 2/5

Convert it to an improper fraction -

6 2/5 = 32/5

Convert the improper fraction to a decimal -

32/5 = 6.4

Multiply 6.4 by 100

= 640%

Hope this helps :)

Answer: Oooohhhh, I knew the answer the answer is 640%.

Step-by-step explanation: So start by separating the parts: [tex]6+\frac{2}{5}[/tex],

Then I know that [tex]\frac{2}{5} = 2/5[/tex],

∴ [tex]6\frac{2}{5} = 6+(2/5)[/tex],

Then I use The Long Division for 2 divided by 5, so I have [tex]6+0.4=6.4[/tex],

And last but not least is onverting our number to a percentage: [tex]6.4*10=640%[/tex] (Rounded to a Max of 2 Decimal Places.), so I hope this formula could be helpful, but if you have struggle to convert the mixed number fraction to percentage, please ask me, okay? :)


63 divided by 3456 ?

Answers

63 divided by 3456 is 0.01822916666
3456 divided by 63 is 54.8571428571

Hope this helps!

find the missing lengths and leave answers as radicals in simplest form

Answers

Answer:

x=8[tex]\sqrt{3}[/tex]

y=8

Step-by-step explanation:

lmk if you need work

A store manager wishes to investigate whether there is a relationship between the type of promotion offered and the number of customers who spend more than $30 on a purchase. Data will be gathered and placed into the two-way table below.

Customer Spending by Promotion Run


Customers Spending More than $30. Customers Spending $30 or Less.
$10 off $50

15% off

$5 off $25

Buy-1-Get-1 Half Off

Which statement best describes how the manager can check if there is an association between the two variables?

A. The manager must check relative frequencies by row because there are more than two different promotions.

B.The manager must check relative frequencies by column because there are more than two different promotions.

C. The manager cannot use relative frequencies to look for an association because there are more than two different promotions.

D. The manager should check both relative frequencies by row and by column to look for an association.

Answers

Answer:

the answer is d

Step-by-step explanation:

I took the test on edge

Answer:

D

Step-by-step explanation:

have a good day /night :)

You carry a 20 N bag of dog food up a 6 m flight stairs how much work was done?

Answers

Work = Force x Distance

20 x 6 = 120

Penelope buys bracelets in bulk at a cost of $8 each to sell at her store. She uses a markup rate of 125%, which is added to the bracelet cost. What is the retail price of a bracelet?

Answers

Answer:

$18.00

Step-by-step explanation:

8 x 1.25 = 10

8 + 10 = 18

Greg had to pay a 12% service charge for ordering two football tickets over the phone. If the tickets cost $84 before the service charge, how many dollars in total did Greg pay for the tickets?

Answers

Answer: 10.08

Step-by-step explanation:

Express the following to percentage into fractions.​

Answers

Answer:

65.2/100

Step-by-step explanation:

1/5 = 0,2

then:

65 1/5 = 65 + 0.2 = 65.2

65.2/100

Step-by-step explanation:

[tex]65 \div 1 \frac{5 \times 100 = 32500}{?} [/tex]

it comes to 325

Complete the two-column proof using the answers in the bank. Given: DF ≅ EF FG bisects ∠DFE Prove: ∆DFG ≅∆EFG

Please explain the anwser, because I don't know how to do this correctly.

Answers

Answer:

Reasons:

1. Given

2. Given

3. Definition of bisector

4. Reflexive property

5. SAS Congruence

Step-by-step explanation:

This is quite easy to solve. All that you're expected to do is to complete the reason that justifies each statement given in the two-column proof.

Let's complete the proof as follows:

1. Statement: [tex] DF \cong EF [/tex]

1. Reason: Given

We know this statement is true because we are given in the question.

2. Statement: FG bisects <DFE

2. Reason: Given

We also know this because we are told so in the question, as shown in the diagram given.

3. Statement: [tex] \angle 1 \cong \angle 2 [/tex]

3. Reason: Definition of bisector

We know this because an angle bisector divides an angle into two equal halves. Therefore, the definition of bisector justifies why it was stated that [tex] \angle 1 \cong \angle 2 [/tex]

4. Statement: [tex] \overline{FG} \cong \overline{FG} [/tex]

Reason: Reflexive property.

5. Statement: ∆DFG [tex] \cong [/tex] EFG

5. Reason: SAS Congruence

Two sides (DF and FG) and an included angle (angle 1) of ∆DFG is congruent two corresponding sides (EF and FG) and an included angle (angle 2) of ∆EFG. Therefore, ∆DFG [tex] \cong [/tex] EFG by the Side-Angle-Side (SAS) Congruence Theorem.

6 friends all use $2 off coupons to buy themselves movie tickets. They spend a total of $42 Write the equation

Answers

Answer:

(C / n) + 2

Step-by-step explanation:

Amount spent (C) = 42

Number of friends (n) = 6

Coupon on ticket = $2

Original price of ticket will be :

Cost per coupon ticket = (Total amount spent / number of friends)

(Total amount spent / number of friends) + coupon on ticket

= (C / n) + 2

= (42 /6) + 2

= 7 + 2

= 9

The pie chart shows information about pupils in KS3 at a school Altogether, there are 200 pupils in ks3 a) How many pupils are in year7? b) how many pupils are in year 9

Answers

Answer:

a) 75

b)25

Step-by-step explanation:

Answer:

a) 75

b)25

Hope this helps

Which of the following numbers can be expressed as repeating decimals? (15 points!!!)

2 over 9 , 3 over 8 , 5 over 6 , 5 over 4
3 over 8 and 5 over 6
2 over 9 and 5 over 6
2 over 9 and 5 over 4
3 over 8 and 5 over 4

PLEASE HELP

Answers

2/9 and 5/6

You can type all of these values into the calculator, and if you find the value to have a finite number of digits, then said number would not be the answer

2/9 = 0.22222222....
3/8 = 0.375
5/6 = 0.83333333....
5/4 = 1.25

Yvonne paid $18.72 for 8 gallons of gas.
She then passed by another gas station
advertising it for $2.29 per gallon. How much
money would she have saved if she had
waited and purchased it at the other location?

Answers

Answer: 0.40 cents
Explanation: 18.72 / 8 = $2.34 per gallon, 2.34 - 2.29 = $0.05 per gallon , $0.05 x 8 gallons = 0.40 cents
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