20 POINTS !!!!!!!!!
Solve the quadratic equation by completing the square.
x^2 - 18x + 68 = 0
First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.

Answers

Answer 1

Answer:

x =  x = 9 ±[tex]\sqrt{13}[/tex]  or x ≈ 12.61 or  x ≈ 5.39

Step-by-step explanation:

x² - 18x + 68            Solve by completing the square.

x² - 18x = - 68    

Now complete the square and add that number to both sides of the equation.

1/2 (of the coefficient of the x term)² = (1/2 · -18)² = 81 .

x² - 18x + 81  = -68 + 81

(x - 9) (x - 9) = 13                  Now find the square root of both sides

[tex]\sqrt{(x - 9)(x - 9)}[/tex] =[tex]\sqrt{13}[/tex]            Solve

x - 9 = ±[tex]\sqrt{13}[/tex]                         Solve for x

x = 9 ±[tex]\sqrt{13}[/tex]  

x = 9 + [tex]\sqrt{13}[/tex]    or  x = 9 - [tex]\sqrt{13}[/tex]      

x ≈ 12.61      or x ≈ x  5.39            


Related Questions

Jenna is having her birthday party at the ice cream palace. The ice cream party palace charged 2.49 for each ice cream cone and 24.99 for a birthday cake Jenna decides to buy a birthday cake and an ice cream cone for each of her friends. Jenna needs to determine the total cost for her birthday party.

Answers

Answer:

multiply the cost of the ice cream cones by the amount of friends then add the cost of the birthday cake.

example: (2.49 × n) + 24.99 = a

I would give you an answer but I dont have enough information, I'm sorry for the inconvenience.

Find the iterative rule for
a1=4; an=1/3·an−1

A.) an=1/3•4^n
B.) an=1/3•4^n-1
C.) an=4•(1/3)^n
D.) an=4•(1/3)^n-1

Answers

Answer:

D.) a(n) = 4 * (1/3)^(n-1)

Step-by-step explanation:

a(1) = 1/3 * a(1-1) = 1/3 * a(0) = 4, so that

1/3 * a(0) = 4

a(0) = 12.

Answer choice D.) is such that a(0) = 4 (1/3)^(0-1) = 4*(1/3)^(-1) = 4 * 3 = 12, and assuming that the problem is well posed (i.e., exactly one of the answer choices is correct), we deduce that D.) is the correct answer choice.

 

When Zack checked his solution, it didn’t work. What was his mistake?
In step 1, he should have used the multiplication property of equality.
In step 2, he should have a constant of – 4 on the right side.
In step 3, he should have divided both sides by StartFraction 6 Over 4 Endfraction.
In step 4, the answer should be positive.

Answers

Answer: its c In step 3, he should have divided both sides by  StartFraction 6 Over 4 Endfraction.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Simplify.

15 20 24+20

Answers

Answer:

-5 divide by 28

Step-by-step explanation:

so the question supposed be " 15-20 divided by 2(4) + 20

15-20 which is also 15 + (-20)= -5

2(4)=8, 8+20=28

so it can simplify into -5 / 28

(hope it helps :)

3х – 8y = — 16
=
M
So yeah I kinda need help

Answers

Answer:

3x-8y-16  = 0

Step-by-step explanation:

Find the domain and range of the function

Answers

Step-by-step explanation:

using set notation

domain [-3,3]

range[-1,3]

HELP
In order to isolate the variable term in the equation 6 -2x = -3 using the subtraction property of equality, which number
should be subtracted from both sides of the equation?
-3
3
6
-2

Answers

6 should be subtracted from both sides of the equation if you want to isolate variable term

Last year, 3,270 athletes finished a marathon in Lancaster. This year, there were 2,616 athletes finishing. What is the percent of decrease in the number of finishers? %

Answers

Answer:

20% decrease

Step-by-step explanation:

2516/3270 = 0.8 or 80%

This means 80% percent of people showed up again from last year

100-80 = 20

So 20% decrease

i need the answer!!! help

Answers

Answer:

30517578125

Step-by-step explanation:

Find the missing number so that the equation has no solutions.
3x - 10 = blank x + 11, please answer fast.

Answers

Answer:

9x

Step-by-step explanation:

The price of a technology stock has dropped to $9.63 today. Yesterday's price was $9.74. Find the percentage decrease. Round your answer to the nearest tenth of a percent.

Answers

Answer:

I belive the answer is 10

Step-by-step explanation:

$9.74

$9.63

_____

$0.11 rounded to the nearest thenth of a percent is 10

Answer:= ( -$0.09 / $9.63 )*100%

                      ≅ -0.9 %     (note: -0.9% means 0.9% decrease)

Step-by-step explanation:

Hi plz answer this I'll give u more points if u do

Answers

Answer:

6 feet in the distance

Step-by-step explanation:

3x(6x + 5)
4x(2x-3y)

Answers

Step-by-step explanation:

1) 3x(6x+5)

= 18x+15x

= 33x Answer

2) 4x(2x-3y)

= 8x-12xy Answer

Cannot be solved because it has unlike terms

The product of four and a number C is decreased by five?



Answers

C(2)2)2!2$262?2)2)2bsbahah

need help pleaseㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ​

Answers

the domain is all the real numbers, or (-infinite <x<infinite)

the range is y>=-4

axis of symetry is x= -1

vertex is (-1,-4)

the parabola opens upwards

x intercepts (-3,0) and (1,0)

y intercepts (0,-3)

If f(x)= 3x-2 find x if f(x)= 19

Answers

Answer:

19= 3x-2

3x= 21

X= 7

Step-by-step explanation:

Hope it helps!!

hey uhm can someone answer this for 12 points

Answers

[tex] \frac{0.2x - 3.2}{5} = 1.8 \\ 0.2x - 3.2 = 1.8 \times 5 \\ 0.2x - 3.2 = 9 \\ 0.2x = 9 + 3.2 \\ 0.2x = 12.2 \\ x = \frac{12.2}{0.2} \\ \boxed{ x = 61}[/tex]

The answe is x=61 because x=61

5-7/8 reduced to its lowest from

Answers

Answer:

4 1/8

Step-by-step explanation:

subtracting a whole number with a fraction just means I have to change one of the numbers so they match with the other.

meaning I should change the whole number 5 to a fraction.

I will use the bottom number to figure out what the fraction in the whole number should look like.

5 = 5/1

I want the bottom number to be 8 like the other fraction 7/8

I multiply the top and bottom number of 5/1 by 8, giving me

40/8

now I subtract 40/8-7/8 = 33/8 or 4 and 1/8

please help me i dont know what i am doing

Answers

Answer:

answer is 1.2590

Step-by-step explanation:

i hope its help you

-9 + ( -16) =

( -4) – (-6) + (-5) – (8) =

( 3) – (-9) + (-3) – (-2) =

- ( 5) – (-7) + (-8) =

- ( -8) – (-9) + (-4) – (-1) =

( -5) – (-11) + (10) – (8) =

( -1) – (-2) + (-3) – (-6) =

( -4) – ( 4) – (6) + (-5) – (-8) =

(-6) + (-5) – (-8) =

Answers

Answer:

-9 + ( -16) = -25

( -4) – (-6) + (-5) – (8) =-11

( 3) – (-9) + (-3) – (-2) =11

- ( 5) – (-7) + (-8) =-6

- ( -8) – (-9) + (-4) – (-1) =14

( -5) – (-11) + (10) – (8) =8

( -1) – (-2) + (-3) – (-6) =4

( -4) – ( 4) – (6) + (-5) – (-8) =-11

(-6) + (-5) – (-8) =-3

Step-by-step explanation:

Hope it helps

Answers:

-9 + ( -16) = -25

( -4) – (-6) + (-5) – (8) = -11

( 3) – (-9) + (-3) – (-2) = 11

- ( 5) – (-7) + (-8) = -6

- ( -8) – (-9) + (-4) – (-1) = 14

( -5) – (-11) + (10) – (8) = 8

( -1) – (-2) + (-3) – (-6) = 4

( -4) – ( 4) – (6) + (-5) – (-8) = -11

(-6) + (-5) – (-8) = -3

5%x52?524526235+36285

Answers

Answer:

The answer is 7,878,684,378

LOL

Step-by-step explanation:

1. Determine the lowest common multiple of 4, 9 and 12
A. 30
B. 36
C. 48
D. 54

2. Simplify 80g : 16kg
A. 4 : 5
B. 3 : 4
C. 2 : 7
D. 1 : 20

3. How many square-shaped tiles with sides of y cm that are required to cover 15y × 4y floor?
A. 60
B. 64
C. 72
D. 86

4. Puan Anis bought 8kg of beef which cost RMx per kilogram. She paid with 2 pieces of RM50 note and received a balance of RM4. Find the value of x
A. 12
B. 14
C. 16
D. 18

5. Find the circumference of a circle with radius of 21 cm
A. 66
B. 44
C. 63
D. 132

6. Anita has RMb. She spent RM(2a + 1) per day for a week. Given the balance of her money is RM45, find a formula for b
A. 2a + 46
B. 14a - 38
C. 14a + 45
D. 14a + 52

7. Given 9x²/y² - 3x = 5w, express y in terms of w and x
A. y = x/5w+x
B. y = 3x/5w+3x
C. y = 3x²/5w+3x
D. y = 3x/5w+x

I NEED ANSWERS FOR THESE QUESTIONS TQ :)​

Answers

Answer:

a,b,d,d,c,a,a

Step-by-step explanation:

Which of the following numbers are rational, but NOT integers?

Select one or more:

a.√33
b.8.4
c.3/4
d.0

Answers

Answer:

0

Step-by-step explanation:

Zero is a rational number, and we know that the integer 0 can be written in any one of the following forms. ... Thus, 0 can be written as, where a/b = 0, where a = 0 and b is any non-zero integer. Hence, 0 is a rational number and not an integer.

Please help me if can, tysm

Answers

Square root of 4096 is 6.4 so the answer is 64 + 6.4 = 70.4.

Answer:

70.4

Step-by-step explanation:

the aquare root of 40.96 is 6.4

so,64+6.4=70.4

Help I will mark brainliest

Answers

Answer:

350

Step-by-step explanation:

Multiply all the sides by each other. This is a triangular prism so the base, you divide by 1/2. So:

A = 7 * 10 * 10

A= 7 * 5 * 10.

(You divide the ten on the bottom)

7*5 = 35

35*10 = 350

Answer:

240

Step-by-step explanation:

The surface is the sum of the sides (all 4 equal) plus the base.

A = 4(1/2B * H) + B**2

A = 4((1/2 * 10) * 7) + 10 * 10

A = 4(5 * 7) + 100

A = 4 * 35 + 100

A = 140 + 100

A = 240

Which is the correct label of the parallel lines?

Answers

the answer is a || b, or the first option

Which graph shows the solution to this system of inequalities? y ≤ x + 1 y > -3x – 2

Answers

x – 4y < 4

x - 4 < 4y

1/4x -1
it is y > so the area is above the line y = 1/4x -1 so D is not right


second one

y < x + 1

You start at (9, 5). You move left 3 units and up 1 unit. Where do you end?

Answers

Hello!

(9,5)

3 units left: (6, 5) (we subtract 3 from the x-coordinate)

1 unit up: (6, 6) (we add 1 to the y-coordinate)

Hope this helps you!

~Just a joyful teen

[tex]SilentNature[/tex]

What is the 50th term of the linear sequence below? 27 , 25 , 23 , 21 , 19​

Answers

Answer:

-73 sorry if im wrong

Step-by-step explanation:

find nth term but replace n with 50 equation is -2n+27

Hooke’s Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force of 180 newtons stretches a spring 5 cm, how much will a force of 270 newtons stretch the same spring?

Answers

Answer:

7.5m

Step-by-step explanation:

Set up a proportion and cross multiply to find the unknown

Hope this helps

The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given question,

Elongation of spring in 180 newtons = 5 cm

The ratio of elongation to force applied = 5/180

The force the second time is 270 newtons.

Let's say the elongation at this time is x cm.

The ratio of elongation to force applied = x/270

Both ratios must be the same.

Therefore,  x/270 = 5/180

x = 270/36 = 7.5 cm

Hence "The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm".

For more information about ratios and proportions,

brainly.com/question/26974513

#SPJ5

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