Solve the quadratic equation shown below using the completing the square method. x2+6x=−17 Use the drop-down menus to choose the words or numbers to correctly complete each statement below. To solve the equation by completing the square, a first step is to add 17 to both sides of the equation. The resulting equation will be a perfect square trinomial on the left side, which can be factored into the quantity x + 3 squared, and the right side will have a value of . A next step is to take the square root of both sides to isolate the variable . will be a complex number since

Answers

Answer 1

Answer:

7

Step-by-step explanation:

because you just take the quadratic number and divide it by x2 and you get 7!!!

Answer 2

Answer:

x = - 3 ± 2i[tex]\sqrt{2}[/tex]

Step-by-step explanation:

x² + 6x = - 17

To complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(3)x + 9 = - 17 + 9

(x + 3)² = - 8 ( take square root of both sides )

x + 3 = ± [tex]\sqrt{-8}[/tex] = ± 2i[tex]\sqrt{2}[/tex] ( subtract 3 from both sides )

x = - 3 ± 2i[tex]\sqrt{2}[/tex]


Related Questions

Graph the following

1. f(x) = 2x² + 2
2. f(x) = 5x²+ 20x-1​

Answers

Answer:

Step-by-step explanation:

Use DESMOS.  See attached.

easy will give brainlest no files.

Answers

Answer:

can u give better picture

Answer:

Remain the same.

Step-by-step explanation:

When you are translating a figure, nothing changes expect for its location. It's shape and orientation stay the same. Hope this helped, and please let me know if you have any further questions. :)

PLEASE PLEASE HELP THANK YOU SO MUCH

Answers

Answer:  x => 12.8 cm

13 and 13.5

Step-by-step explanation:

The area is equal to or greater than 154 cm^2:

A [tex]\geq[/tex] 154 cm^2

Assume a minimum of 154 cm^2 and calculate the area of a rectangle having a width of 12 cm.  Let x be the length of the rectangle, so that:

(12)*x = Area

Area => 154 cm^2

(12)*x  => 154 cm^2

x => (154/12cm) cm^2

x => 12.8 cm

13 and 13.5 will both meet the criteria.

what is 7a-7b when a-b=5

Answers

Answer:

35

Step-by-step explanation:

7a -7b

Let a-b = 5

Factor

7(a-b)

7(5)

35

Answer:

a=5+7b/7

Step-by-step explanation:

7a-7b

a-b=5

7a-7b=5

7a-7b+7b=5+7b

7a-0=5+7b

7a=5+7b

7a=5+7b/7

a=5+7b/7

please help, this is due today:

Answers

Answer:

x = 17

Step-by-step explanation:

∠ DCE = ∠ ACE ( vertically opposite angles )

The sum of the 3 angles in a triangle = 180° , then

∠ DCE = 180° - (100 +x) = 180 - 100 - x = 80 - x

∠ ACE = 180 - (49 + 4x) = 180 - 49 - 4x = 131 - 4x

Equating the 2 angles

80 - x = 131 - 4x ( add 4x to both sides )

80 + 3x = 131 ( subtract 80 from both sides )

3x = 51 ( divide both sides by 3 )

x = 17

Help me Pls

NONSENSE=REPORT
REAL ANSWER=BRAINLIEST+HEART​

Answers

PLACE VALUE. VALUE

6. Hundreds. 200

7. Ones. 1

8. Hundreds. 0

9. Hundreds. 800

10. Tens. 60

how many 2/3's are in 4/5

Answers

Step-by-step explanation:

4/5 + 2/3 = 2215 = 1 715 ≅ 1.4666667. Spelled result in words is twenty-two fifteenths (or one and seven fifteenths).

Answer:

5/10's

Step-by-step explanation:

Trust me bro

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!6

Answers

Answer:

parami es el A por q no seria basico las demas la B C y D noloson

There are 16 mangoes in a basket.They are ONLY Julie and east indian.If you take out a Julie and replace it with an east indian ,there will be an equal number of Julie and east indian mangoes.If you take you three east indian mangoes and replace them with Julie,the number of Julie will be three fi me the number of east Indians? At present there are how many east indian and Julie mangoes in the basket?​

Answers

Answer:

11 Julie's and 5 East Indians

If a = 8 and b = 36 calculate the value of a^(1/3) b^(-3/2)

Answers

Answer:

[tex]\frac{1}{108}[/tex]

Step-by-step explanation:

Using the rules of exponents

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^m}[/tex]

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^m}[/tex]

[tex]a^{\frac{1}{3} }[/tex] × [tex]b^{-\frac{3}{2} }[/tex] ← substitute a = 8 and b = 36

= [tex]8^{\frac{1}{3} }[/tex] × [tex]36^{-\frac{3}{2} }[/tex]

= [tex]\sqrt[3]{8}[/tex] × [tex]\frac{1}{36^{\frac{3}{2} } }[/tex]

= 2 × [tex]\frac{1}{(\sqrt{36})^3 }[/tex]

= 2 [tex]\frac{1}{6^3}[/tex]

= 2 × [tex]\frac{1}{216}[/tex]

= [tex]\frac{1}{108}[/tex]

Consider the following incomplete deposit ticket: A deposit ticket. The amounts deposited were 782 dollars and 11 cents and 564 dollars and 64 cents. The subtotal was 1346 dollars and 75 cents. The total after cash received is 888 dollars and 18 cents. How much cash did Liz receive? Please select the best answer from the choices provided $458. 57 $670. 71 $323. 54 $1,805. 32.

Answers

Answer:

323

Step-by-step explanation:

Answer:

its $458.57 on edg

Step-by-step explanation:

Jasmine got a new puppy for her birthday. He's full of energy, so she takes him for a walk along a 1.2-mile loop in a nearby park. If they walked a total of 3.6 miles, how many loops did they do?

Answers

Answer:

3 loops

Step-by-step explanation:

1.2x = 3.6 [Setting up an equation]

x = 3 [dividing both sides by 1.2]

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

let's find out the principle in the following cases also calculate the amount.
a) I = RS 336, T = 2 years, R = 10•5% per year


please give me answer
I need it fast as possible​

Answers

Step-by-step explanation:

I = 336

T = 2

R = 10.5 = 10½ = 21/2

I = PRT/100

336 = (2 x 21 x P)/(100 x 2)

336 = 21P/100

21P = 33600

P= 33600/21

P=1600

Amount = 1600 + 336 = 1936

Of the 120 apartments in a building, 75 have been scheduled to receive new carpet. What fraction of the apartments have not been scheduled to receive new carpet?

1/4
3/8
5/8
3/4

Answers

Answer:

3/8

Step-by-step explanation:

Well, let's start out by figuring out how many apartments have not been scheduled to receive new carpet. We know that 75 have been scheduled and that there are 120 total apartments, so the number of apartments that have not been scheduled is 120 - 75 or 45.

Now, we need to find the fraction of apartments that have not been scheduled to receive new carpet. To do this, we divide the number of apartments that have not been scheduled to receive new carpet by the total number of apartments:

[tex]\frac{45}{120}[/tex]

We can divide both sides by a common factor of 15 to find the simplified fraction and determine our answer.

[tex]\frac{45}{120} /\frac{15}{15} =\frac{3}{8}[/tex]

So, 3/8 of the apartments have not been scheduled to receive new carpet.

Please help me with this math problem!! :)

Answers

x would be 33.
33 is the smallest angle and number out of the given.

After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.

Part B
Write an equation representing how much Tristan paid.

Part C
Write an equation representing how much Keith paid.
Part E
Solve the system you found in Part D. Did you use elimination or substitution? What was the entry fee, and how much did each ticket cost?


Part F
What do you need to do to the equations so you can put them into the Graph tool? Put the equations into the Graph tool. To create the graph, select the correct relationship and then enter the values for the variables. Paste a screenshot of your graph in the space provided. Do you get the same solution as when you solved it algebraically?

Answers

Answer:

Let x represents the entry fees

y represent the cost of each ticket

Gwen equation

x + 10y = 30 ... (i)

Tristan equation

x + 15y = 40 ...... (ii)

Keith equation

x + 10y = 30 .......... (iii)

By solving eq. (ii) and (iii), we get

x = 10

y = 2

Hence entry fees = $10

cost of each ticket = $2

PLEASE MARK ME AS BRAINLIEST AS IT WILL HELP ME IN ACHIEVING NEXT LEVEL.

THNX IN ADVANCE

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let x represents the entry fees

y represent the cost of each ticket

Gwen equation

x + 10y = 30 ... (i)

Tristan equation

x + 15y = 40 ...... (ii)

Keith equation

x + 10y = 30 .......... (iii)

By solving eq. (ii) and (iii), we get

x = 10

y = 2

Hence entry fees = $10

cost of each ticket = $2

An arithmetic sequence is given below.
19, 14, 9, 4,
...
th
Write an explicit formula for the n
term an

Answers

Answer:

an= -5n+24

Step-by-step explanation:

covert 104% into a decimal

Answers

Answer:

104 divided by a 100

1.04

Step-by-step explanation:

it is the same as moving the decimal two places to the left

The table shows the relationship between cups of flour and number of eggs needed in a cake recipe.
Which equation represents the relationship shown?

Answers

Answer:

you are correct (A)

Step-by-step explanation:

i took this

If the slope of a line is -6, will that line be steep or shallow

Answers

Answer:

shallow

Step-by-step explanation:

E = (-52) + 13 + 49 + (-15) + (-36) + 82

Answers

Answer:

E = 41

Step-by-step explanation:

E = (-52) + 13 + 49 + (-15) + (-36) + 82

Take the -ve terms to one side and +ve terms to the other.

E = (13 + 49 + 82) - 15 - 36 - 52

E = 144 - 103

E = 41

-9+(-14)=??

please help!

Answers

Answer:

-23

Step-by-step explanation:

Urgent…. I need help
You don’t gotta explain
I will mark brainiest asp

Which one is a function?

Answers

A.

Step-by-step explanation:

To find out the answer, there is a method that can be used to find out if a line is a function. It is called the vertical line method. And it also has to be per x, One y value has to be there. Analyzing the graphs, the answer should be option A.

how to solve x-3=2-3x​

Answers

Answer:

x = 5/4

Step-by-step explanation:

x-3=2-3x​

Add 3x to each side

x+3x-3=2-3x​+3x

4x-3 = 2

Add 3 to each side

4x-3+3 = 2+3

4x =5

Divide each side by 4

4x/4 = 5/4

x = 5/4

Answer:

5/4

Step-by-step explanation:

[tex]x-3=2-3x\\-3=2-4x\\-5=-4x\\\frac{-5}{-4} =x\\x=\frac{5}{4}[/tex]

Combine all like terms by moving them to their respective sides, then simplify as best you can.

help asap please

question is below

Answers

Step-by-step explanation:

only the second one fulfills the rule that every value of x must have exactly 1 assigned result value (y).

the first option has two different result values (3 and 5) for x = 1.

the third has 2 different result values (3 and 4) for x = 2.

the fourth has 2 different result values (2 and 4) for x = 2, and also 2 different result values (0 and 2) for x = 0.

What is the Slope of the line that passes through points (4, -2) and (3, 1)?

Question 3 options:

2


3


-2


-3

Answers

Answer:

-2.......................

find the number that makes the ratio equivalent 1:5. 7:

Answers

Answer:

35

Step-by-step explanation:

1. We can write the ratios as fractions of: [tex]\frac{1}{5} =\frac{7}{x}[/tex]. Now, we solve for the variable x.

2. (Solving)

Step 1: Cross-multiply.

[tex]1*x=7*5[/tex] [tex]x = 35[/tex]

Therefore, the number that makes the ratio equivalent is 35.

Answer:

1:5 & 7:35

Step-by-step explanation:

7 x 5 = 35

Which inequality is true when the value of d is −13?

Answers

Answer:

A. -5 - 3(6) > 10

   13 > 10

Step-by-step explanation:

give us the options to answer then we can answer it

Mario is a garbage collector in Mabuhay Homes 2000. He can collect garbages in 80 houses in just 5 working days. In 8 days straight work, he reached 140 houses.

Find the changes of Mario's work, in working straightly?

What was the total number of houses he collected in 12 days if he worked straight?

What will be total number of houses he can collect in 20 days if he will work straight continually?

Answers

192 because 80 divided by 5 equals 16 and 16 multiplied by 12 (12 working days) is equal to 192

what would this one be?

Answers

Answer:

I believe it's 6/10

Step-by-step explanation:

3/5 times 2 = 6/10

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