Solve x2 − 8x + 5 = 0 using the completing-the-square method. (2 points)

Answers

Answer 1

Answer:

[tex] x = 4 + \sqrt{11}, \: \: x = 4 - \sqrt{11} [/tex]

Step-by-step explanation:

[tex] {x}^{2} -8x + 5 = 0 \\ \\ {x}^{2} - 8x + {4}^{2} = - 5 + {4}^{2} \\ \\ {(x - 4)}^{2} = - 5 + 16 \\ \\ {(x - 4)}^{2} = 11 \\ \\ x - 4 = \pm \sqrt{11} \\ \\ x = 4 \pm \sqrt{11} \\ \\ x = 4 + \sqrt{11}, \: \: x = 4 - \sqrt{11} [/tex]


Related Questions

What is the solution to this equation?
X-7 = 18
O A. x= 11
O B. X= 35
O c. x = 25
O D. x = 9

Answers

Answer:

The answer is c or x=25

Step-by-step explanation:

X-7=18
+7 +7

X=25
The answer is C x=25

1 a. A boat can travel 378 miles on 31.5
gallons of gasoline. How far can it travel
on 24.4 gallons?

Answers

i’m here for the points srrr

Answer:

The boat will travel 292.8 miles on 24.4 gallons.

Step-by-step explanation:

How I figured this out was I divided 378 by 31.5 which got me 12. I then took 12 and multiplied it by 24.4

five years ago, Alicia was twice as old as her brother Alex. if Alicia is 13 years old, how old is Alex ? ​

Answers

Answer:

8

Step-by-step explanation:

The ratio of red marbles to blue marbles in a bag is 2 to 3. Which of the following could be
the number of red and blue marbles in the bag?
O 4 red marbles and 6 blue marbles
O 4 red marbles and 5 blue marbles
O 6 red marbles and 8 blue marbles

Answers

Answer:

4 red marbles and 6 blue marbles is the correct answwer

Step-by-step explanation:

Answer:

A.) 4 red marbles and 6 blue marbles

Step-by-step explanation:

If you times 2 x 2 then you will get 4

If you times 3 x 2 then you will get 6

And since the ratio is red : blue

2 : 3 is equivalent to 4 : 6

Just like  [tex]\frac{2}{3} = \frac{4}{6}[/tex] they are the same thing.

if you were to do a fraction graph, 2 of the 3 [tex]\frac{1}{3}[/tex] bars would be the same length of 4 [tex]\frac{1}{6}[/tex] bars:

3(2c + 5) = 39
What is the answer ?

Answers

Answer:

c=1

Step-by-step explanation:

Simplifying

3 + 2c = 5

Solving

3 + 2c = 5

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + 2c = 5 + -3

Combine like terms: 3 + -3 = 0

0 + 2c = 5 + -3

2c = 5 + -3

Combine like terms: 5 + -3 = 2

2c = 2

Divide each side by '2'.

c = 1

Simplifying

c = 1

Answer:

 =  4

Step-by-step explanation:

Subtract  15 from both sides of the equation

6+15=39

6+15−15=39 − 5

Simplify

6=24

Divide both sides of the equation by the same term

(6=24)/6

Simplify

=4

Solving For x.
[tex]2x + 5 = 1[/tex]
Step By Step Explanation, Please.

Answers

x = 3 I added a picture hope this helps
Subtract the 5 to the other side of the equal sign giving you -4. Divide -4 by the 2 leaving you with x= -2

!!HELP ME PRETTY PLEASE!!Examine the four different companies in the table, which shows their yearly income and their tax rate. Which type of taxation does this table best represent?

Answers

Answer:

regressive tax

Step-by-step explanation:

Tax is a compulsory sum levied by the government or an agency of the government.

There are 3 types of taxes

1. proportional tax - the same amount of tax rate is levied on everyone.

2. regressive tax - lower earning inviduals are taxed

Answer: its proportional

Step-by-step explanation:

i got it right

- (6x + 4) + 8x simplify and show work plsss

Answers

Answer:

2x-4

Step-by-step explanation:

-( 6x + 4+ 8x

-( 6x + 4+ 8x

2x-4

PLZ HELP I GIVE U BRAINLIEST

Answers

Answer:

Step-by-step explanation:

231/32

7 7/32

Answer:

7 7/32

Step-by-step explanation:

Solve the inequality 13 > 3x + 1

Answers

4 > x

step by step explanation:

13 > 3x + 1
-1 -1
12 > 3x
/3 /3
4 > x

I hope it helps you ❤️❤️❤️

pls hurry i am on a timer

Answers

Answer:

It's B-(x-2) (x+5),

Step-by-step explanation:

I don't know how to explain

Answer:

B

Step-by-step explanation:

i know the answer cause i had the same question for my exams.

what is the value of X. 2.5(x+4)= 4.75

Answers

Answer:

-2.1

Step-by-step explanation:

2.5(x+4)=4.75

or,2.5x+10=4.75

or,2.5x=4.75-10

or,2.5x= -5.25

or,x =-5.25/2.5

or,x= -2.1

∴x=-2.1

     (Ans)

Hope you find it helpful.........

Answer:

2.5(x+4)=4.75

2.5x+10=4.75

2.5x=4.75-10

2.5x=-5.25

Divide through by 2.5

2.5x÷2.5=-5.25÷2.5

X=-2.1

How do you do this problem

Answers

Answer:

Step-by-step explanation:

U have 20 dollars and u spend d amount of dollars on ice cream.

basically it’s 20$-d$ or 20-d

​If c represents the cost, in dollars, and s is the number of shirts, which equation correctly identifies the relationship between the cost and the number of shirts?

Answers

Answer:

Well, you can't make an offical equation here because it doesn't say how many shirts your offically getting.

However, if you wanted to make an correct equation you want to times the amount of shirts your getting by the cost of a shirt, to get the final cost.

Step-by-step explanation:

i need the answer to these questions FAST PLEASE

Answers

Answer:

[tex]\underline{\underline{ \boxed{ans(1)}}} \: \boxed{x = 11} \\ \\ \underline{\underline{ \boxed{ans(2)}}} \: \boxed{x = 9} \\ \\ \underline{\underline{ \boxed{ans(3)}}} \: \boxed{x = 10} \\ \\ \underline{\underline{ \boxed{ans(4)}}} \: \boxed{x = 6} \\ \\ \underline{\underline{ \boxed{ans(5)}}} \: \boxed{x = 7} \\ \\ \underline{\underline{ \boxed{ans(6)}}} \: \boxed{x = 13} \\ \\ [/tex]

Step-by-step explanation:

[tex]\underline{\underline{ \boxed{ans(1)}}} \\ \frac{54}{36} = \frac{24}{x + 5} : \\ (36)(24) = (54)(x + 5) \\ (x + 5) = \frac{(36)(24)}{(54)} \\ x = 16 - 5 \\ \boxed{x = 11} \\ \\ \underline{\underline{ \boxed{ans(2)}}} \\ \frac{(20 + 8)}{20} = \frac{(2x + 3)}{15} : \\ (20)(2x + 3) = (15)(28) \\ (2x + 3) = \frac{(15)(28)}{(20)} \\ 2x = 21 - 3 \\2x = 18 \\ \boxed{x = 9} \\ \\ \underline{\underline{ \boxed{ans(3)}}} \\ \frac{24}{28} = \frac{x + 8}{3x - 9} : \\ (28)(x + 8) = (24)(3x - 9) \\ 28x + 224 = 72x- 216 \\ 72x - 28x = 224 + 216 \\ 44x = 440 \\ \boxed{x = 10} \\ \\ \underline{\underline{ \boxed{ans(4)}}} \\ \frac{39}{4x + 2} = \frac{42}{5x - 2} : \\ (42)(4x + 2) = (39)(5x - 2) \\ 168x + 84 = 195x- 78 \\ 195x - 168x = 84 + 78 \\ 27x = 162 \\ \boxed{x = 6} \\ \\ \underline{\underline{ \boxed{ans(5)}}} \\ \frac{48}{4x + 4} = \frac{60}{7x - 9} : \\ (60)(4x + 4) = (48)(7x - 9) \\ 240x + 240 = 336x- 432 \\ 336x - 240x = 240 + 432 \\ 96x = 672 \\ \boxed{x = 7} \\ \\ \underline{\underline{ \boxed{ans(6)}}} \\ \frac{40}{40 - 5} = \frac{3x - 7}{2x + 2} : \\ (40)(2x + 2) = (35)(3x - 7) \\ 80x + 80 = 105x- 245 \\ 105x - 80x = 80 + 245 \\ 25x = 325 \\ \boxed{x = 13} \\ \\ [/tex]

please help me!!! PLEASE!!!!!!!
The system of equations (picture shown) has (blank)
blank options (shown in pictiure)
1. no solution
2. infinitely many solutions
3. one solution

Answers

Answer:

no way

Step-by-step explanation:

addison rae? is that u?

What is 28% of 80???????????????????????????????????????/

Answers

Answer:

22.4

Step-by-step explanation:

m8 just use a calculator...

Answer: 22.4

Step-by-step explanation:

28 x 80 = 22.4

  100

NEED ASAP!!
Describe what probability is and how it is used in the real world. Explain how to calculate probability of an event. Explain the difference in something being unlikely, likely, certain, and equally likely to happen. Write 3-5 Sentences

Answers

Answer:

Probability is the mathematical term for the likelihood that something will occur, such as drawing an ace from a deck of cards or picking a green piece of candy from a bag of assorted colors. You use probability in daily life to make decisions when you don't know for sure what the outcome will be.

Step-by-step explanation:

karl scored 14 out of 20 in a test work out his score as a percentage

Answers

Answer:

70%

Step-by-step explanation:

Please help will give Brain!!

Answers

Answer:

50⁰

Step-by-step explanation:

because its still the same angle

Answer:

x=50

Step-by-step explanation:

Part B: Suppose Steven combined the table-
tennis balls into one large bag instead of two
individual bags. Would the probability change
from Part A if Steven wanted to draw a "1" and a
"B" without replacement?
A

Answers

Answer:

D.

Yes, the probability would change because you are drawing from one bag and this changes the number of possible outcomes.

Step-by-step explanation:

Yes, the probability would change because you are drawing from one bag and this changes the number of possible outcomes.

What is the probability?

Probability in mathematics is the possibility of an event in time. In simple words how many times does that incident is happening in any given time interval?

Given:

Suppose Steven combined the table tennis balls into one large bag instead of two individual bags.

When the two bags are combined into one, the number of possible outcomes is reduced.

Drawing from one bag means that there is now only one set of balls to choose from, rather than two separate sets.

This means that the total number of possible outcomes is reduced, which changes the probability of drawing a "1" and a "B" without replacement.

Therefore, the probability would change.

To learn more about the probability;

brainly.com/question/11234923

#SPJ5

1. What is the slope m of the
graphed line?

Answers

Answer:

m=0

Step-by-step explanation:

M=0
When there is a vertical line, The line is not going down meaning that it would be x/0

In this instance, X=5
5/0= 0
So M=0

PLEASE HELP ME OUT WITH ALGEBRA! I KNOW THERE ARE SMART PEOPLE OUT THERE!!

Answers

a)2x^2 - 5x + 15
b) 165

solve the image below please

Answers

Answer:

C

Step-by-step explanation:

The area of the smaller rectangle is x².

The larger rectangle is 4 times that area: (2x)(2x) = 4x²

So in total you have 4x² + x² = 5x²

Answer C is also 5x² by calculating 6x²-x²

help asap!! slove for x, (4x+5) + (2x -7) =40

Answers

x = 7


You’re welcome

If the national average for a gallon of gas is $3.10, how much should you expect to pay for gas in philadelphia versus atlanta

Answers

Answer: $3.63 / $3.29

Step-by-step explanation:

In Philadelphia, you would pay:

= 3.10 * Percentage of national average for transport

= 3.10 * 117%

= $3.63

In Atlanta:

= 3.10 * Percentage of national average for transport

= 3.10 * 106%

= $3.29

The table below compares the cost of living in Philadelphia  and Cleveland, with the numbers representing percentages of  the national average.

Answer:

$3.63 / $3.29

Step-by-step explanation:

Just did test

Can someone tell yo yo sis how do I

Answers

You know 0.4/0.25=x/15 so then do 0.4/0.25=1.6 then take 1.6 times 15 = 24

I really don't get what this means
-0.1 = -10c

Answers

Answer:

C is variable. -10 times c is equal to -0.1

Step-by-step explanation:

A rectangle has a length of 3.5 inches and a width of 2.5 the perimeter is 6 inches what is the area of a rectangle rounded to the nearest tenth?

Answers

Answer:

8.8

Step-by-step explanation:

A=lw

A= (3.5)(2.5)

A= 8.75 ≅ 8.8

plz mark me brainliest. :)

THIS TABLE LINEAR OR NON-LINEAR?

Answers

Answer:

yes

Step-by-step explanation:

Answer- I'm pretty sure it's linear

Step-by-step explanation:

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