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

Х
у
-2
3
2
-9
6
-21
10
-33

Answers

Answer:

y = - 3x - 3

Step-by-step explanation:

Given table:

x | -2, 2, 6, 10    y | 3, -9, -21, -33

Use two pairs of points to work out the equation of the line y = mx + b:

(-2, 3) and (2, - 9)

Find the slope:

m = (-9 - 3)/(2 - (-2)) = - 12/4 = - 3

Use one pair to find the y-intercept:

3 = - 3*(-2) + b3 = 6 + bb = 3 - 6b = - 3

The line is:

y = - 3x - 3
☆Answer : (-2, 3) and (2, -9)

m = (-9 - 3)/(2 + 2) = -12/4 = -3 ==> (x)

3 = (-3)•(-2) + b

3 = 3•2 + b

3 = 6 + b

b = -3 ==> (a)

Soo :

y = -3x - 3

8m - 8 - 8 = 16
equation

Answers

Answer:

8m-16 =16

8m=16+16

8m =32

m=32/8

m=4

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE AN AWESOME DAY

10a) Beatrice has an income of
$40 000 in one year.
She pays no tax on the first
$10 000 of her income;
10% tax on the next $10 000 of her income;
25% tax on the rest of her income.

Calculate:
a) the total amount of tax Beatrice pays,

b)the total amount of tax as a percentage of the $40 000.

10b) Beatrice pays a yearly rent of $10 800.
After she has paid her tax, rent and bills, she has $12 000.
Calculate how much Beatrice spends on bills.

Answers

Answer:

  a) $6000 tax

  b) 15%

  c) $11,200 for bills

Step-by-step explanation:

a)

Beatrice pays 10% on the second $10,000 of her income, which is ...

  0.10×$10,000 = $1000

and she pays 25% on the amount over $20,000, which tax is ...

  0.25×($40,000 -20,000) = $5000

The total amount of tax Beatrice pays on her $40,000 income is ...

  $1000 +5000 = $6000 . . . . tax on $40,000

__

b)

The tax as a percentage of $40,000 is ...

  $6,000/$40,000 × 100% = 15% . . . . percentage of income paid in tax

__

c)

The amount left after tax, rent, and bills is ...

  $40,000 -tax -rent -bills = $12,000

  bills = $28,000 -tax -rent

  bills = $28,000 -6,000 -10,800 = $11,200

Beatrice spends $11,200 on bills.

a kayak rental shop rents 28 kayaks per week when it charges $25 per day. For each $5 increase in price, the shop loses four kayak rentals per week. How much should the kayak rental shop charge to maximize weekly revenue? What is the maximum weekly revenue?

Answers

found this online hope it helps :)))

If a kayak rental shop rents 28 kayaks per week when it charges $25 per day. For each $5 increase in price, the shop loses four kayak rentals per week. 720 is the  maximum weekly revenue

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

It is given that a kayak rental shop rents 28 kayaks per week when it charges $25 per day

For each $5 increase in price, the shop loses four kayak rentals per week. we need to find  How much should the kayak rental shop charge to maximize weekly revenue

R(x)=(25+5x)(28-4x)

=5(5+x)4(7-x)

=20(5+x)(7-x)

=-20(5+x)(x-7)

when x=1 it is maximum

Price when x =1 is 25+5(1)=30

To calculate maximize revenue

R(1)=(25+5)(28-4)

=30(24)

=720

Hence the maximum weekly revenue is $720.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

need help please and thank you!!

Answers

Answer:

x=125

Step-by-step explanation:

Since the sum of the angles is 720 degrees, you can set up the following equation:

120+100+120+120+x+(x+10)=720

2x+470=720

2x=250

x=125

List numbers that are between -21 and -12

Answers

Answer:

-13 -14 -15 -16 -17 -18 -19 -20

Answer:

-20, -19, -18, -17, -16, -15, -14, -13,

Step-by-step explanation:

john is cutting wood planks. He has a 3 foot plank. he needs to cut them in 3/8 length pieces. How many pieces will he have?

Answers

Answer:

he will have 3 pieces

Step-by-step explanation:

3/8×8

=3

Mark me BRAINLIEST

I just want to double check if I did this right

Answers

Yea, it’s right! Great job!

OMG
_________

2² × 3² = ....​

Answers

Answer:

24

Step-by-step explanation:

First Step:

2² × 3² =

Second Step:

4 × 3² =

Third Step:

4 × 6 = 24

2 × 2 = 4

3 × 3 = 9

4 × 9 = 36

hence , your ans is 36

Help please i beg you helppp

Answers

Answer:

4.79 + 23.6

Try this, let me know if I'm wrong.

Can someone plz help

Answers

Answer:

y=mx+b

Step-by-step explanation:

point slope form

The kitchen of a house is of size 15ft x 12ft. Find the cost of tiling the wall at all sides 5 ft from the base at the rate of Rs. 120/sq ft.​

Answers

Answer:

20400RS

Step-by-step explanation:

Given, Kitchen Size = 15ft * 12ft wall height to be tiled = 5 ft so area of focer walls

= 2* 15+2*5*12

= 150+120=170ft.

Rate is 120/ sq*ft here rate

= 120*170

= 20400RS

How do I rewrite the following expression is there a form 1/4 (4x+8) please help me it’s gonna help my grade

Answers

Answer:

You can expand this with this rule:

[tex]a(b+c)=ab+ac[/tex]

Similarly,

[tex]\frac{1}{4}(4x+8) =\frac{1}{4}*4x+\frac{1}{4}*8[/tex]

[tex]\frac{1}{4}*4x+\frac{1}{4}*8=x+2[/tex]

Several world-class swimmers have attempted. to swim the English Channel between France and Great Britain (570 km long). Since even the best swimmers can swim only about eight kilometers per hour, about how many hours would expect it to take an expert swimmers to swim the channel?

Answers

Answer:

4hours

um...

57×10-== 4 hours

Please help and please no links or just answering for points ¯\_(ツ)_/¯

Answers

Answer:

8c + 6 = 3     

Step-by-step explanation:

six more than the product of a number and 8 is 3  

the product of 8 and c is 8•c, which can also be written as 8c. 6 more than that means you are adding 6, and getting 3... so your equation is,   

8c + 6 = 3     

hope this helped!

mark me brainliest :D

(2x+5) (3x-15)

solve for x

•x=27
•x=20
•x=38

Answers

Answer:4799,2475,4941,

Step-by-step

I'm not sure,

but I solved replace the given numbes

For first, (2×27+5)(3×27-15)=4799, for second (2×20+5)(3×20-15)=2475

For third(2×38+5)(3×38-15)=4941

Camila ubicó 90 botellas en una estantería de un supermercado y de ellas eran de jugo sin azúcar.Si los jugos sin azúcar tienen tres sabores diferentes y Camila puso la misma cantidad de cada sabor en la estantería, ¿con cuál de las siguientes operaciones se calcula la cantidad de botellas de jugo sin azúcar de cada sabor que puso Camila en la estantería?

Answers

Camila puso 30 botellas de cada sabor en la estantería.

Dado que Camila ubicó 90 botellas en una estantería de un supermercado, y los jugos sin azúcar tienen tres sabores diferentes y Camila puso la misma cantidad de cada sabor en la estantería, para determinar la cantidad de botellas de jugo sin azúcar de cada sabor que puso Camila en la estantería se debe realizar el siguiente cálculo:

90/3 = X30 = X

Por lo tanto, Camila puso 30 botellas de cada sabor en la estantería.

Aprende más en https://brainly.com/question/16991787

If
x
=
4
and
y
=
7
, evaluate the following expression:
20

(
3
y

4
x
)

Answers

Answer:

15

Step-by-step explanation:

given solution

x=4 20-(3y-4x) substitute

y=7 20-(3(7)-4(4))

20-(21-16)

20-5

answer =15

Solve pls brainliest

Answers

Answer:

Hi, the answer should be 8.1 dollars

$2.70

I multiplied 90x.03

.03 is 3% is decimal form

Hope this helps

someone please help me i'll mark brainliest

Answers

Answer:

4-9/5

Step-by-step explanation:

I think so but if not sorry

Q(x)=-1/2x-3; q(x)=-4
Help

Answers

Answer:4

Step-by-step explanation:

Someone could help me with problem 3-75 (b) please

Answers

Answer:

a. is correct

b. not correct

c. not correct

d. is correct

Step-by-step explanation:

3-75:

a) 3x + 7 = x - 1

Subtract 7 on both sides to get 3x = x - 8, then subtract x from 3x to get 2x = -8, finally divide 2 on both sides to get x = -4. (Answer is yes)

b) -2x - 4 = -4x + 3

Add 4 on both sides to get -2x = -4x + 7, then add 4x to -2x to get 2x = 7, finally divide 2 on both sides to get x = 7/2. (Answer is no)

c) -3x + 5 + 5x - 1 = 0

Add 1 on both sides to get -3x + 5 + 5x = 1, then subtract 5 on both sides to get -3x + 5x = -4, next combine -3x and 5x together to get 2x = -4, finally divide 2 on both sides to get x = -2. (Answer is no)

d) -(x - 1) = 4x - 5 - 3x

Combine 4x and -3x together to get

-(x - 1) = x - 5, then add (x - 1) and (x - 5) together to get 2x - 6, next do 2x - 6 = 0 and solve for x, by adding 6 on both sides to get 2x = 6, and finally dividing 2 on both sides to get x = 3. (Answer is yes)

Explanation:

I did the whole 3-75 section for you, but I didn't really understand 3-76, and my brain was already hurting by the time I got to section 3-77, sorry.

Hope this helps though, I did my best :)

The cost of 4 books is $18.00 and the cost of 4 pens is $20.00. Find the cost of six similar
books and six similar pens.

Answers

4 books is 18.00
18/4 is 4.5
$4.50 per book

4 pens is 20.00
20/4 is 5
$5.00 per pen

6 books $4.50 each
6(4.50) = $27

6 pens $5.00 each
6(5) = $30

6 books is $27
6 pens is $30
6 books = $27 and 6 pens = $30
4 books = $18 so divide 18 by 2 get 9 so 2 books are $9 just add $18 to $9 to get $27
4 pens = $20 so divide 20 by 2 get 10 so 2 pens = $10 just add $20 to $10 to get $30

15 POINTS AND BRAINLIEST, im to lazy and this was do two weeks ago please help.

Answers

Answer:

$1.79

Step-by-step explanation:

h + 5f = 8.74 → (1)

2h + 3f = 7.75 → (2)

Multiplying (1) by 3 and (2) by - 5 and adding will eliminate f

3h + 15f = 26.22 → (3)

- 10h - 15f = - 38.75 → (4)

Add (3) and (4) term by term to eliminate f

- 7h = - 12.53 ( divide both sides by - 7 )

h = 1.79

The hamburger cost $1.79

Which function is graphed below?

Answers

Answer: f(x)=cos(x)

The first option. Hope this helped!

Please help!! I will mark brainliest with full detailed answer!!

Answers

Answer:

Step-by-step explanation:

26. -14

27. -4.732050808

Answer:

26.  (-14)

27.  −4.732050808

Step-by-step explanation:

26.  [tex](\sqrt{2}+4)(\sqrt{2}-4)[/tex]

Multiplication can be transformed into difference of squares using the rule:

(a − b) (a + b) = a² - b²

[tex](\sqrt{2} ^{2} ) - 4^{2}[/tex]

The square of √2 is 2.

[tex]2 - 4^{2}[/tex]

Calculate 4 to the power of 2 and get 16.

2 - 16

Subtract 16 from 2 to get −14.

-14

27.  [tex](\sqrt{3} +2)(\sqrt{3} -3)[/tex]

Apply the distributive property by multiplying each term of √3 + 2 by each term of √3 - 3.

[tex]\sqrt{3} ^{2}-3\sqrt{3} +2\sqrt{3} -6[/tex]

The square of √3 is 3.

[tex]3-3\sqrt{3} +2\sqrt{3} -6[/tex]

Combine -3√3 and 2√3 to get -√3.

[tex]3-\sqrt{3} -6[/tex]

Subtract 6 from 3 to get −3.

-3 - √3

-3 - √3 ≈ −4.732050808

What is 93x43 please show your work.

Answers

This answer would be 4,4042

Answer:

The answer is 3,999

Step-by-step explanation:

93 x 43 = 3,999

brainliest :)

X=


A. 30

B. 70

C. 110

D. 130

Answers

Answer:

Step-by-step explanation:

the answer is D)130 hope it helps

You take a road trip up north with your family. You begin a hike in Death Valley, California at an elevation of 86 meters. You hike up another 35 meters, then down another 148 meters to the other side of the hill. What elevation are you at when you reach the other side of the hill?

Answers

Answer: - 27 meters

Step-by-step explanation:

1.     86 m   Start at 86 meters

2.  +35 m    Go up another 35 meters

3. -148 m   Go down 148 meters.

4.  - 27 meters  Net change in elevation

The net result is a negative 27 meters in elevation from the start of the hike.

{Find the number that is missing from the equation}
Question 1 →3 + __________ = (-7)
Question 2 → Solve : (-9) + 18 + (-2) + (-5) + 9.

Answers

Answer:

-10

and I think it's 11 or 7

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