Solve the equation for all real solutions.
k^2+8k+22=6​

Answers

Answer 1

Answer:

Step-by-step explanation:

Here you go mate

step 1

k^2+8k+22=6​  equation

step 2

k2+8k+22(-6)=6(-6)  subtract -6

k2+8k+16=0

step 3

k2+8k+16=0  factor

(k+4)(k+4)=0

step 4

(k+4)(k+4)=0  set the numbers equal to zero

answer

k=-4


Related Questions

3x² = 6 blah blah blah

Answers

Answer:

x= square root of 2 blah blah blah

Step-by-step explanation:

Answer:

x= square root of two

Step-by-step explanation:

Victor's crew team needs to raise at least $3,000 for their trip to the state championships. A sponsor generously donated hot dogs and cans of soda for the team to sell at each school sporting event. The crew team members will sell hot dogs for $2 each and sodas for $1 each. Which inequality can be used to calculate how many hot dogs,x, and sodas, y, Victor's team needs to sell to have enough money for the trip?​

Answers

3000>_ 2x+1y

That is the greater than or equal to btw
So the need at least 3000 so that can raise more which is why it’s greater than or equal to. But it’s 2x because hotdogs are the x and they are being sold for two dollars each same with the y as it equals the soda which is being sold for one dollar

seven times a number equals
70
Show work

Answers

Answer:

7 times 10 equals 70

Step-by-step explanation:

70 divided by 7 equal 10 and 70 divided by 10 equal 7

You earn a new a weekly allowance of five dollars and your neighbor is paying you 7.50 per hour for shoveling the driveway how many hours,x, Master work this week if you wanna earn more than $30

Answers

Answer:

Hours of work= 3.5

Step-by-step explanation:

Giving the following information:

Allowance= $5

Hourly pay= $7.5

Desired profit= $31

To calculate the number of hours to work, we need to use the following formula:

Hours of work= shoveling pay / hourly pay

Hours of work= (31 - 5)/7.5

Hours of work= 26/7.5

Hours of work= 3.5

Jorge's dog weighs 14 pounds. How many ounces does he weigh?

Answers

Answer: 224

Step-by-step explanation:

Almee is decorating her new house. she found a table at pier one for $425. If the table is 25% off, what will it cost

Answers

Answer:

$318.75

Step-by-step explanation:

425*0.25=106.25         425-106.25=318.75

318.4 dollars so there’s the answer

Jeyniel wrote the expression x^3/y^2. If x=4 and y=2; how much is the value of the expression? *

Answers

Answer:

The answer is 16

Step-by-step explanation:

X^3=64

Y^2=4

so 64 divided by 4 is 16

Answer:

16

Step-by-step explanation:

this might help you

gary Sanchez struck out 112 times in 350 at bats. What PERCENTAGE of his at-bats were strike outs?

Answers

Answer:

it would be 32/100

Step-by-step explanation:

Answer:

32% of his bats were stuck out.

Step-by-step explanation:

which mathematical property is shown here
7+2=2+7
1 distributive property
2 commutative property

Answers

Answer:

Commutative property

Answer:

It is commutative property!

Step-by-step explanation:

Distributive is when the numbers are distributed while commutative is when you can swap around the numbers and nothing would change therefore the equation you gave is a commutative property

-3 |-2•4 | =





.........

Answers

Answer:

-24

Step-by-step explanation:

help helppp help i need answerr thank Uuuuuuuuu​

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

The angles are vertical and congruent, that is

x - 10 = 125 ( add 10 to both sides )

x = 135

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

(b)

Supplementary angles sum to 180°

The angles are in the ratio 2 : 3 = 2x : 3x ( x is a multiplier ), then

2x + 3x = 180

5x = 180 ( divide both sides by 5 )

x = 36

thus

2x = 2 × 36 = 72

3x = 3 × 36 = 108

Then the 2 angles are 72° and 108°

Now you can mark them brainliest.



What is the solution to the equation x/3+x/6=7/2?

A. x=3/2
B. x= 7/3
C. x= 3
D. x= 7

Answers

Answer:

x=7

Step-by-step explanation:

At the theater, the Garcia family bought 2 adult tickets and 3 children's tickets for $44.50. The Smith family bought 3 adult tickets and 6 children's tickets for $78. Find the price of an adult ticket and the price of a children's ticket.

Answers

Answer:

Adult= $11

Children = $7.5

Step-by-step explanation:

Let x represent adult ticket and y represent children ticket

2x + 3y= 44.50........equation 1

3x + 6y= 78........equation 2

From equation 1

2x + 3y= 44.50

2x= 44.50-3y

x= 44.50-3y/2

Substitute 44.50-3y/2 for x in equation 2

3x+ 6y= 78

3(44.50-3y/2) + 6y= 78

66.75- 4.5y +6y= 78

66.75 + 1.5y= 78

1.5y= 78-66.75

1.5y= 11.25

y= 11.25/1.5

y = 7.5

Substitute 7.5 for y in equation 1

2x + 3y = 44.50

2x + 3(7.5)= 44.50

2x + 22.5= 44.50

2x = 44.50-22.5

2x= 22

x= 22/2

x= 11

Hence the price of adult ticket is $11 and the price of children ticket is $7.5

Answer:

Answer:

Adult= $11

Children = $7.5

Step-by-step explanation:

Let x represent adult ticket and y represent children ticket

2x + 3y= 44.50........equation 1

3x + 6y= 78........equation 2

From equation 1

2x + 3y= 44.50

2x= 44.50-3y

x= 44.50-3y/2

Substitute 44.50-3y/2 for x in equation 2

3x+ 6y= 78

3(44.50-3y/2) + 6y= 78

66.75- 4.5y +6y= 78

66.75 + 1.5y= 78

1.5y= 78-66.75

1.5y= 11.25

y= 11.25/1.5

y = 7.5

Substitute 7.5 for y in equation 1

2x + 3y = 44.50

2x + 3(7.5)= 44.50

2x + 22.5= 44.50

2x = 44.50-22.5

2x= 22

x= 22/2

x= 11

Hence the price of adult ticket is $11 and the price of children ticket is $7.5

Step-by-step explanation:

Elias has joined a game rental service. The membership has an initial fee of $35.00 and each game rental costs $5.00. This table shows the linear relationship between the total cost, y, and the number of games Elias rents, x. Fill in each box to correctly model the relationship between x and y.

Answers

Answer:

y=mx+b

y=35+5x

Step-by-step explanation:

A family bought a total of 32 adult and child tickets to eat at the dining hall.

Adult tickets are $21 each and children are $15 each.

The family paid a total of $282

Write an equation to model the total number of tickets sold.

Write an equation to model the cost of tickets sold.

How many of adult tickets, “x” and child tickets, “y” did they buy?

Answers

Answer:  

Answer: 250 $3 tickets and 100 $2 tickets were sold.

Step-by-step explanation:

Solution:

Step 1: Set up a table with quantity and value.

quantity value total

$3 tickets  

$2 tickets  

together  

Step 2: Fill in the table with information from the question.

The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?

Let x = number of $3 tickets

Let y = number of $2 tickets

Total = quantity × value

quantity value total

$3 tickets x 3 3x

$2 tickets y 2 2y

together 350  950

Step 3: Add down each column to get the equations

x + y = 350                    (equation 1)

3x + 2y = 950                (equation 2)

Use Substitution Method

Isolate variable x in equation 1

x = 350 – y                     (equation 3)

Substitute equation 3 into equation 2

3(350 – y) + 2y = 950

1050 – 3y + 2y = 950

3y – 2y = 1050 – 950

y = 100

Substitute y = 100 into equation 1

x + 100 = 350

x = 250

Answer: 250 $3 tickets and 100 $2 tickets were sold.

Marcello is an artist who makes oil paintings and charcoal sketches. He sells each oil painting for $500 and each charcoal sketch for $300. Marcello wants to create 56 works total. Write and solve a system of equations to determine how many pieces of artwork he must sell in order to make exactly $20,000

Answers

Answer:

He needs to sell 25 pieces of artwork.

Step-by-step explanation:

$500 for an oil painting.

$300 for a charcoal sketch.

56 pieces of artwork total.

$20,000 goal.

500 + 300

= 800

$800 for 1 oil painting and 1 charcoal sketch.

20,000 ÷ 800

= 25

He needs to sell 25 pieces of artwork to make $20,000.

Complete the point-slope equation of the line through (2,3)(2,3)left parenthesis, 2, comma, 3, right parenthesis and (7,4)(7,4)left parenthesis, 7, comma, 4, right parenthesis. Use exact numbers. y-4=y−4=y, minus, 4, equals

Answers

Answer:

[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (2,3)[/tex]

[tex](x_2,y_2) = (7,4)[/tex]

Required

Complete the equation y - 4.....

First, we need to determine the slope as follows:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{4 - 3}{7 - 2}[/tex]

[tex]m = \frac{1}{5}[/tex]

The equation is then calculated as thus:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y - 4 = \frac{1}{5}(x -7)[/tex]

Open bracket

[tex]y - 4 = \frac{1}{5}x -\frac{7}{5}[/tex]

Add 4 to both sides

[tex]y - 4 +4= \frac{1}{5}x -\frac{7}{5} + 4[/tex]

[tex]y = \frac{1}{5}x -\frac{7}{5} + 4[/tex]

[tex]y = \frac{1}{5}x +\frac{-7+20}{5}[/tex]

[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]

Answer:

y - 4 = 1/5 ( x - 7 )

Step-by-step explanation:

Khan Academy

HELP PLEASE

Question 4 (5 points)
(04.05)

Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time doing homework this week. Is he correct? Show your work to justify your decision. (5 points)

Answers

Answer:

[tex]\huge\boxed{\sf No}[/tex]

Step-by-step explanation:

Evan spent 20 hours doing homework last week

25 hours were spent this week.

Let's see what 125% of 20 equals:

= (125 / 100) * 20

= (125 / 10) * 2

= 125 / 5

= 25 hours

But,

It is written that Evan thought he spent 125 % more than the last week which means:

= (125% of 20) + 20

= 25 + 20

= 45 hours

He should've said that he has given 25% more time than the last week.

(Note that: 25 % of 20 equals 5 so 25 % more than last week will be equal to (25 % + 20) = (5+20) = 25)

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Solve x to the 4th power -3 x to the third power minus x squared minus 27x minus 90 equals 0 by finding all roots


Answers

Answer:

4x-27x-54-90=

Step-by-step explanation:

well first you have to subtract x which is -23x              

then u have to bring 90+54 on the other side

which then leaves you with

-23x=144

x=-6.260869565217391

can i also get brainliest please

Cindy was making desserts for a bake sale. She had 24 cups of sugar to work with. She used 3/4 of the sugar to make pies. She used the remaining sugar to make giant cookies. If each giant cookie needed 3/5 of a cup, how many cookies could Cindy make?

Answers

Answer:

she had 23 and 1/4 cups of sugar left to make the cookies.

93/4 is the improper fraction of that.

[tex]\frac{93}{4} / \frac{3}{5}[/tex]

the lowest common multiple is 20, so convert the fractions to have common denominator

[tex]\frac{465}{20} / \frac{12}{20}[/tex]

divide the numerators and you have your answer

38.75 cookies

Step-by-step explanation:

A driver travels from Town A to Town B at a speed of 75km/hr and covers a distance of 150km. He then travels from Town B to Town C for 3 hours at a speed of 80km/hr. Find the average speed from Town A to Town C

Answers

chal khud kar solve

nikal yahann se, khud mehnat se solve kar

Beth works at a car lot. This week she sells $23,200 in cars. She earns 4% commission for all the
cars she sells. How much will she earn this week?

Answers

Answer:

$928

Step-by-step explanation:

23200/100 = 232

232 * 4 = 928

A bicycle wheel has a diameter of 28 inches. Which expression can be used to describe the circumference of the wheel as it relates to diameter?

Answers

Given:

The diameter of a bicycle wheel is 28 inches.

To find:

The circumference of the wheel as it relates to diameter.

Solution:

We have,

Diameter: [tex]d=28\text{ inches}[/tex]

We know that,

Radius: [tex]r=\dfrac{d}{2}[/tex]

[tex]r=\dfrac{28}{2}\text{ inches}[/tex]

The circumference of a circle is

[tex]C=2\pi r[/tex]

Putting [tex]r=\dfrac{28}{2}[/tex], we get

[tex]C=2\times \pi \times \dfrac{28}{2}[/tex]

[tex]C=28\times \pi[/tex]

Therefore, the correct option is (H).

The equation below has one solution 9X -10 equals 3X +2 what is the solution to the equation

Answers

Answer:

X= 2

Step-by-step explanation:

9x-10

(9*2)-10

18-10

8

3x+2

(3*2)+2

6+2

8

3 years ago lower bought a new car for 21,700 when she traded the car into a dealer last week it was worth 13,020. Find the percent decrease in the car's value over the 3 year.​

Answers

Answer:

1.67 percent

Step-by-step explanation:

A hot air balloon was flying at an altitude of 300 meters when the pilot decided to land by descending at a rate of 2 meters per second.For which of these functions doesy represent the altitude of the hot air balloon if x represents the number of seconds since the pilot started her landing?

Answers

It got be a least 27

The graphed line shown below is y = 5 x minus 10.

On a coordinate plane, a line goes through (2, 0) and (3, 5).

Which equation, when graphed with the given equation, will form a system that has no solution?

y = -5 x + 10
y = 5 (x + 2)
y = 5 (x - 2)
y = -5 x - 10

Answers

Step-by-step explanation:

For 2 lines to form a system with no real solution, the slope of the lines have to be equal and the y-intercept is different.

Hence the answer is y = 5(x + 2).

Hiiii please help and show how u did it​

Answers

Answer:

x = 23

Step-by-step explanation:

Given

[tex]\frac{x-11}{2}[/tex] - [tex]\frac{x-3}{5}[/tex] = 2

Multiply through by 10 ( the LCM of 2 and 5 ) to clear the fractions

5(x - 11) - 2(x - 3) = 20 ← distribute and simplify left side )

5x - 55 - 2x + 6 = 20

3x + 49 = 20 ( add 49 to both sides )

3x = 69 ( divide both sides by 3 )

x = 23

a, b, and c represent three different digits. If you add up all of the six two - digit numbers that can be written with these digits, where you don't use the same digit twice in each number, then the sum will be 528. Find these digits.

Answers

Answer:

7, 8 and 9

Step-by-step explanation:

Two-digit numbers are:

ab, ac, ba, bc, ca, cb

Sum of them is:

10a + b + 10a + c + 10b + a + 10b + c + 10c + a + 10c + b = 52822a + 22b + 22c = 528a + b + c = 528/22a + b + c = 24

The only option of three different digits with the sum of 24 is 7, 8 and 9

Answer:

The answer is 7, 8 and 9. The Two-digit numbers are: ab, ac, ba, bc, ca, cb

The Sum of them is: 10a + b + 10a + c + 10b + a + 10b + c + 10c + a + 10c + b = 528

22a + 22b + 22c = 528

a + b + c = 528/22

a + b + c = 24      The only option/options of the three different digits with the sum of 24 is 7, 8 and 9.

Hope this helps, stay safe, and merry christmas!

The prices of different types of nuts are shown in the table.

Type of Nut Price per Pound
Almonds $9.15
Cashews $10.75
Peanuts $3.95

Mila buys 1.4 pounds of almonds, 0.8 pound of cashews, and 2.6 pounds of peanuts.
How much does Mila spend in all?

Answers

Answer:

$31.68

Step-by-step explanation:

Multiply each by the correct number

almond= 1.4*9.15= 12.81

cashews= 10.75* 0.8= 8.6

Peanuts= 3.95 * 2.6= 10.27

Add them all up

12.81+8.6+10.27

you’ll get 31.68

I’m not sure but I think it’s 30.6$
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