solve the following equation by completing the square. 4x2 -16 x + 8=0 ​

Answers

Answer 1

Answer:

x = 2±sqrt(2)

Step-by-step explanation:

4x^2 -16 x + 8=0

Move the 8 to the right side by subtracting 8 from each side

4x^2 -16 x + 8-8=0-8

4x^2 -16 x =- 8

Get the x^2 term to have a coefficient of 1 by dividing each term by 4

x^2 -4x = -2

Take the coefficient of x and divide by 2 and then square it

-4/2 = -2    

(-2 )^2 = 4

Add this to each side

x^2 - 4x +4  = -2 +4

Factor the right side into ( x +b/2)^2  where b is the coefficient of x

(x-2)^2 = 2

Take the square root of each side

x-2 = ±sqrt(2)

Add 2 to each side

x = 2±sqrt(2)


Related Questions

I WILL NAME YOU THE BAINLIEST PLEASE ANSWER FAST
Express each rate as a unit rate.
a. 32 teams in 4 divisions
b. $2.70 for 15 ounce

Answers

Answer:

To solve for the unit rate, know that the final answer must be out of 1. Or it is the quantity or amount of something per unit of measurement.

For instance in the above question, the unit rate for 32 teams in 4 divisions would be 8 teams per division.

Likewise for the other question it would be 270/15.

Step-by-step explanation:

now gimme brainlest plzzzzzz

a person got 10percent increase in his salary . If his salary was Rs50000 then find increase in salary

Answers

Answer:

10 over 100 multiply by Rs 50000 over 1

.: cut 2 zeros ( 0 ) from 100 and cut 2 ( zeros ) from Rs 50000

.: 10 over 1 by Rs 500 over 1

.: 10 multiply RS 500 = 5 000

His / her increment = RS 5 000

If i drive from my town to town a and then to town b and the journey time was 50 minutes what is my average speed

Answers

Step-by-step explanation:

distance must be given

average speed is distance and time

here is an example jy26903

Answers

Answer:

I meant an example for a problem like the one you posted.

Either way, I'll try to help.

in the example, you're finding out what percentage of 352 is 226.6.

So divide 226.6 (The number that you're using to find what percentage it is of 352) by 352( the number you're finding the percentage of.)

226.6/352= 0.64375, and multiply the quotient by 100 to get 64.375. You're rounding up by the nearest hundredth, so the 7 turns to 8. (5 or more means rounding up.)

your final answer for the example is 64.38%. So Try that with your next problem.

For the one you're working on, divide 110.9 by 100 and then multiply it by 419.

You'll get 464.671.

is this relationship proportional why or why not?

Answers

Answer:

no

Step-by-step explanation:

to be proportional, every step of 1 in the upper row, must equal an equal step in the lower row.

from 1 to 2: +15

from 2 to 3: +18

not the same so not proportional

(a) Find an angle between 0° and 360° that is coterminal with 1020

Answers

Answer:

300°

Step-by-step explanation:

Subtract 360° from 1020° and repeat until angle is in required range

1020° - 360° = 660°, then

660° - 360° = 300°

300° is coterminal with 1020°

An angle between 0° and 360° that is coterminal with 1020° is 300°.

What are Coterminal angles?

Coterminal angles are defined as the angles which has the same terminal side with the initial side on the positive side of X axis.

We have to find an angle between ° and 360° that is coterminal with 1020°.

Subtract 360° from the given angle until the angle obtained is between 0° and 360°.

1020 - 360 = 660

660 - 360 = 300

So 300° is a coterminal angle with 1020.

Hence the coterminal angle is 300°.

Learn more about CoTerminal Angles here :

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Divide by 4 then add 2
Please someone help thanks :)

Answers

Answer:

0 = 2

2 = 2.5

4= 3

6 = 3.5

8 = 4

10 = 4.5

If the cost of 20 stamps is $9.80, how
much will 1 stamp cost?

Answers

Answer:

1 stamp will cost $0.49.

Step-by-step explanation:

20/9.8=1/x

cross product

20*x=9.8*1

20x=9.8

x=9.8/20

y = -3x + 1
4x + y = 3
Eions?
What is the solution to the system of equations

Answers

Answer:

(2, - 5 )

Step-by-step explanation:

Given the 2 equations

y = - 3x + 1 → (1)

4x + y = 3 → (2)

Substitute y = - 3x + 1 into (2)

4x - 3x + 1 = 3

x + 1 = 3 ( subtract 1 from both sides )

x = 2

Substitute x = 2 into (1) for corresponding value of y

y = - 3(2) + 1 = - 6 + 1 = - 5

solution is (2, - 5 )

Please help!!!! (Im not a very smart person im sorry!) Hopefully you can help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer is 5/8 inch. :)

Answer:

1 inch would be 5/8 inch longer than 3/8 inch. :)

Step-by-step explanation:

PLS HELP ASAP!!!! Who had Enlightenment principles that Thomas Jefferson built upon when he drafted the Declaration of Independence?


John Locke



George Washington



King George III


John Adams

Answers

pretty sure it was john locke

a regular pentagon ABCDE is shown work out angle x

Answers

Answer:

108 degrees inside each corner

Step-by-step explanation:

360/5=72

180-72=108

AC =
Round your answer to the nearest hundredth.

Answers

Answer:

the answer is 1.88 using cosine =adj/hyp

Your total cost for dinner at Iguana Joes was $45.35. You want to leave an 18% tip. What was the total amount you spent on dinner? PLEASE ANSWER QUICK

Answers

Answer:

$51.513

Step-by-step explanation:

First you covert 18% to decimal→0.18

Then you multiply 0.18 by 45.35→ 8.163

Finally you add 45.35 to 8.163 to get, 51.513

43.35+15%(7.803)=51.152
Total amount spent $51.15

Jada is 3 feet 11 inches tall. A giraffe at the zoo is 16 feet 10 inches tall.
How much taller is the giraffe than Jada?
What’s the answer?

Answers

Answer:

12 feet 11 inches

Step-by-step explanation:

The giraffe is 12 feet 11 inches taller than Jada. Therefore, the correct answer is option C: 12 feet 11 inches.

To find out how much taller the giraffe is than Jada, we need to subtract Jada's height from the giraffe's height.

Jada's height is 3 feet 11 inches, which can be written as 3' 11".

The giraffe's height is 16 feet 10 inches, which can be written as 16' 10".

To perform the subtraction, we need to ensure both measurements are in the same format. We can convert Jada's height to inches:

Jada's height = 3 feet * 12 inches/foot + 11 inches = 36 inches + 11 inches = 47 inches.

Now we can subtract Jada's height from the giraffe's height:

16' 10" - 3' 11" = 16 * 12 + 10 - (3 * 12 + 11) = 192 + 10 - (36 + 11) = 202 - 47 = 155 inches.

Therefore, the giraffe is 155 inches taller than Jada.

To convert this back to feet and inches, we have:

155 inches = 12 feet * 12 inches/foot + 11 inches = 12' 11".

Thus, the giraffe is 12 feet 11 inches taller than Jada. Therefore, the correct answer is option C: 12 feet 11 inches.

To know more about inches:

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Help plz i need a anwser

Answers

Answer:

Your answer would be B: $25.20

24 x 5% is 1.2

$24 + 1.2 is 25.2

Step-by-step explanation:

Answer:

the answer is B 25.20

Step-by-step explanation:

multiply 24 by 0.05 then add that to w4

I am confused. The entire question is in the picture.

Answers

Well yes, but it’s in order. The picture will help you solve the questions, the questions are listed in a order so in order to get one question right you have to solve for another question. Like do question 1 before 2 , go in order

6th grade math help me pleaseeee

Answers

Answer:

use math- way for those and your other homework i promise it'll work!

Step-by-step explanation:

Gianna is going to invest $9,000 and leave it in an account for 17 years. Assuming the
interest is compounded daily, what interest rate, to the nearest tenth of a percent,
would be required in order for Gianna to end up with $23,300?

Answers

Answer:

5.6% to nearest tenth.

Step-by-step explanation:

Amount after 17 years

= 23300 = 9000(1 + r/365)^(17*365)  where r  = interest rate as a fraction.

(1 + r/365)^(17*365) = 23300/9000 = 2.588889

Taking logs of both sides:

17*365 log (1 + r/365) =  log 2.588889

log(1 + r/365) = log 2.588889 / (365*17)

log(1 + r/365) = 0.0000665775

Removing the logs  (by taking each side to the base 10) :

1 + r/365 = 1.000153312

r/365 = 0.000153312

r = 0.05596

As a percent this is 5.596%

If 25% of a number, n, is 30, what is 60% of n?

Answers

Answer:

it would be 72, and n=120

In the following figure, the value of x is
A
20
35
с
B
Note: Round your answer to the nearest tenth.

Answers

Answer:

20

...........

mark me as brainlist

Im sorry i do not have the answer but this is the image for who ever that can help

Jane sold a house for $160,000 that she listed. Her broker charges a % commission and she receives 60% of the commission. How much did Jane receive?

Answers

Jane gets 5,760.

What is commission?

Commissions are a form of variable-pay remuneration for services rendered or products sold.

Given:

House sold for $160,000 with a listing commission of 6%

So, full commission

=160,000*0.06

= 9, 600

And, jane's share will be

=9600 * 0.60

=5,760

Hence, jane's share will be 5,760.

Learn more about this concept here:

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Help I need the answer now

Answers

Answer:

-6/16

Step-by-step explanation:

Just multiply the top and bottom by 2.

Answer:

(-3/8)

Step-by-step explanation:

10f – 10 and 2(8f – 5 Is it equivalent

Answers

Answer: no

plz give brainleist

Step-by-step explanation:

let f be 2 10 x 2 - 10=10

2 x 8x2-5=22

Answer:

These two expressions are only equivalent when f=-5/6. If f=><-5/6, then the equations are not equivalent.

Step-by-step explanation:

Last year the depth of the river was 4.2 feet deep. This year it dropped 25%. Find the depth of the river this year to cross it.

Answers

Answer:

The river is 3.15 feet deep.

Step-by-step explanation:

First let's recognize what we need to find: the depth of the river

We know last year the river was 4.2 feet deep, but it dropped 25%. This means we also need to find how much it dropped. To find this, we need to know what 25% of 4.2 is. Write an equation for this.

y = 25% of 4.2

y = 0.25 • 4.2

y = 1.05

This means that the river dropped 1.05 feet. To know its depth now, we need to subtract 1.05 from 4.2. Write an equation for this.

d = 4.2 - 1.05

d = 3.15

The river is 3.15 feet deep.

Hope this helps!

A plant is 3 inches tall when you purchase it and grows 2 inches per month. Write an equation in slope intercept form that represents the height y(in inches) of the plant after x months.

Answers

Answer:

y = 3 + 2x

Step-by-step explanation:

In this scenario, we are given two values which are the initial height of the plant and its growth height. Then we are given a variable which is the number of months (x) that are unknown for us. The growth height needs to be multiplied by the number of months to know how much it has grown in that time period. Then we add this value to the initial height of the plant to calculate the total height (y) of the plant after x number of months. We can apply this information to form the following equation in slope-intercept form.

y = 3 + 2x

Please help due soon.

Answers

Answer:

9.n 410.x -111.4x 412.p -1

I hope this helps:D

9.) 1

10.) x^3

11.) 1/4

12.) 1/p

Remember any index times 1 is 1.
Any base with index 0 is also 1.

Hope it helps, here’s a picture with includes steps.

Factor 8y+7x⁴-9
Anyways...
Happy Valentines Day Kiyoomi
❤️✨❤️✨❤️✨❤️✨❤️✨❤️

Answers

Thanks and same to u :)

:.:.:.:.:.:.:.:.:.:.:.:.::.:..:..:..:./..:././.

If u don’t mind me asking how did u put the emoji

Answer:

yikes they're accounts  got deleted✋

Step-by-step explanation:

How can you see that a reflection could work without knowing where the line of reflection is? If you get the answer right I'll paypal, venmo or cash app you $50. So drop your paypal, venmo or cash app along with your answer.

Answers

Note how going from R to S to T to U has us going counterclockwise. In contrast, going from R' to S' to T' to U' has us going the opposite direction going clockwise. This change in orientation strongly implies that a reflection has been done. Reflections always flip orientation.

-----------------------------------------

Here's how we can find the line of reflection.

Draw a line segment from point R to point R'. Mark the midpoint of the segment as point A

Repeat this process to form a segment from S to S'. Mark the midpoint as point B.

The line of reflection will pass through points A and B. This is because the line of reflection is equally distant between the original point (such as point R) and its reflected point (such as R'). This must mean that the line of reflection goes through the midpoint of segment UU' and also segment TT'.

Refer to the diagram below.

PLS HELP 100PTS AND BRAINLIEST
What pair of numbers (x, y) will satisfy both equations below?

3x+y=10

−4x+2y=0


A.)x=3 and y = 1y=1 or (3,1)


B.)x=1 and y=2 or (2,1)


C.)x=10 and y=20 or (10,20)


D.)x=2 and y=4 or (2,4)

Answers

Answer:

D)   x = 2  and  y = 4  or  (2, 4)

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}3x+y=10\\-4x+2y=0\end{cases}[/tex]

Multiply Equation 1 by -2:

[tex]\implies -6x-2y=-20[/tex]

Add this to Equation 2 and solve for x:

[tex]\implies (-4x+(-6x))+(2y-2y)=(0+(-20))[/tex]

[tex]\implies -10x=-20[/tex]

[tex]\implies x=2[/tex]

Substitute the found value of x into Equation 1 and solve for y:

[tex]\implies 3(2)+y=10[/tex]

[tex]\implies 6+y=10[/tex]

[tex]\implies y=10-6[/tex]

[tex]\implies y=4[/tex]

Therefore, the pair on numbers (x, y) that satisfies both equations is (2, 4)

(2,4)

Let's verify

#1

3(2)+46+410

Verified

#2

-4(2)+2(4)-8+80

Verified

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