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

Answers

Answer 1

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[tex] {k}^{2} + 8k + 22 = 6 [/tex]

Subtract sides 6

[tex] {k}^{2} + 8k + 22 - 6 = 6 - 6 [/tex]

[tex] {k}^{2} + 8k + 16 = 0[/tex]

[tex] ({k + 4})^{2} = 0[/tex]

Thus ;

[tex]k + 4 = 0[/tex]

Subtract sides 4

[tex]k + 4 - 4 = - 4[/tex]

[tex]k = - 4[/tex]

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Related Questions

how do you know if an ordered pair output is a function?

Answers

Answer:

If there is more than one X value in the ordered pairs and they have different Y values, it is not a function. Otherwise, it is a functio

Answer:

You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function!

The total cost to take the ferry to Greene Island is a $12 fee for the car plus $3 for each passenger in the car. The graph shows this relationship.
50
45
40
35
Cost of Ferry 30
(s)
25
20
15
10
5
0
1
5
09
2
3
4
Number of Passengers
How will the graph change if the car fee is changed to $10?
A. The y-intercept will shift up.
B. The y-intercept will shift down.
OC. The slope of the line will increase.
D. The slope of the line will decrease.

Answers

Answer:

B. The y-intercept will shift down

Step-by-step explanation:

What is 7/8 minus 6 3/4

Answers

Answer:

(7/8) - (6 3/4) = -5.875

You worked 5.5 hours one day and 3 hours another day. You had 8 dollars already and now that you have been paid, you have $84.50. How much were you paid an hour

Answers

Answer:

u were paid 9 dollars an hour

Step-by-step explanation:

Find 33,688 divided by 8.

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4211
Pls mark me brainliest

(2x−6)+4(x−3) i need help as fast as possible explain and answer pls

Answers

Answer:

6x-18

Step-by-step explanation:

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

(2x-6) + (4x-12)

2x - 6 + 4x - 12

6x-18

Answer:

6x-18 (simplified)

Step-by-step explanation:


3x-(2x+4)
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Answers

Answer:I think it is -18

Step-by-step explanation:sorry if I got it wrong

X will equal -4 hope this helps

Solve the equation x/3– 9 = 11

Answers

Answer:

x=60

Step-by-step explanation:

(60/3)-9=11

20-9=11

ANSWER PLSS algebra 1 and explain why

Answers

Answer:

y=-2x-100

Step-by-step explanation:

this is the only answer choice with a negative (decreasing) slope.  The temperature went down and the slope went down

Hope this helps!

B is the right answer


PLEASE HELP.!! ILL GIVE BRAINLIEST *EXTRA POINTS* DONT SKIP.!! :((

Answers

Answer: -53 then -24 then 0 then 18

Step-by-step explanation:

Write the word sentence as an equation. Then solve.

10 more than a number c is 3.

Answers

Answer:

10 +c=3

C=3-10

C=-7

.....

Answer:

c = -7

first, make the equation.

10 more than a number c is 3

the variable is c, according to the sentence.

c

"10 more than a number c"

c + 10

"10 more than a number c is 3 "

c + 10 = 3

now that you have your equation, time to solve it.

it's important to know that if you do something to an equation, as long as you do it to both sides the equation is still true.

for example.

2 + 2 = 4

if you add 1 to both sides of the equation,

2 + 2 + 1 = 4 + 1

5 = 5

this is still true.

Solving the equation.

c + 10 = 3

subtract 10 from both sides of the equation.

c + 10 - 10 = 3 - 10

c = 3 - 10

c = -7

Simplify (-6x4 - 5x3 + x2) + (4x2 + 6x4 - 4x3)

Answers

Answer:

-x2*(9x-5)

Step-by-step explanation:

If you need an explanation I will happily write it out for you

Answer:

-x2*(9x-5)

Step-by-step explanation:

What is the solution to the system for. PLEASE HELP ASAP!

Answers

first choice, I'm positive

What is 8455 divided by 89?

Answers

Answer:

95

Step-by-step explanation:

8455/89 is 95

i need help on math

Answers

x=2
2x-3=-x+3

add three to both sides
add 1x to each side
should be left with 3x=6
divide both sides by 3 to get x alone
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Mark has $146 in his savings account. He withdraws $41, deposits $98, and then withdraws $64. Find the balance of his account.

What's the answer?

Answers

Answer:

$139

Step-by-step explanation:

subtract 41 from 146

=105

add 98

=203

subtract 64

=139

146 - 41 = 105
105 + 98 = 203
203 - 64 = 139

Mark Has A Balance Of $139.00 In His Savings Account.

I Hope This Helps! (^_^)

Beth's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 88 sodas in all, 66 of which were regular. What percentage of the sodas were regular?

Answers

Answer:

75 Percent

Step-by-step explanation:

66/88 = .75, which equates to 75 percent.

If the place these marbles in a bag close your eyes and choose a marble what is the probability that it will be pink?

Answers

Answer:

3/14

Step-by-step explanation:

There are 14 marbles, 5 are yellow, 6 are blue, and 3 are pink. You have a 5/14 chance to get a yellow marble, a 6/14 chance to get a blue marble, and a 3/14 chance to get a pink marble.

I hope that this helps :)

Answer:

3/7

Step-by-step explanation:

the answer is

3/2 times 1/4 times 5/3

Answers

Answer:

5/8

Step-by-step explanation:

Take it step by step if you have trouble.

DM me on discord at BLAƆK PIΩK#6762 for math tutor

$15/hour

[tex]\frac{3}{2} * \frac{1}{4} =\frac{3}{8}[/tex]

[tex]\frac{3}{8} *\frac{5}{3} =\frac{15}{24}[/tex]

2a(b + c) = d , Solve for b

Answers

Answer:

b=d/2a -c

Step-by-step explanation:

b+c=d/2a (Divide 2a on both sides to elimnate the 2a on the left side)

b=d/2a -c (Subtract c on both sides to elimnate the c on the left side)

Answer: b=d/2a -c

Hope this helps!

While only 5% of babies have learned to walk but the adage of 10 months, 75% have learned to walk by 13 months of age. If the age at which Bavaria develop the ability to walk can be described by normal distribution model, find the mean and standard deviation of the normal model

Answers

Answer:

Mean is 12.13 months

Standard deviation is 1.29

Step-by-step explanation:

We need to use z-score here

Let the mean of the distribution be a while the standard deviation be b

Mathematically;

z-score = (x-mean)/SD

We can obtain the probability from the z-score

Now, for the 10th month

The z-score for a probability of P = 0.05(5%)

Can be obtained from the standard normal distribution table and that is;

-1.645

Hence;

-1.645 = (10 - a)/b

-1.645 b = 10 - a

a = 10 + 1.645b ••••••(i)

For the 13 month, we have a proportion of 75%

The z-score corresponding to P(0.75) is = 0.674 from standard normal distribution table

Hence;

0.674 = (13-a)/b

0.674b = 13 - a

a = 13 - 0.674b. •••••(ii)

Now equate both a;

10 + 1.645b = 13 - 0.674b

13-10 = 1.645 b+ 0.674b

3 = 2.319b

b = 3/2.319

b = 1.294

So the mean a will be

10 + 1.645b = 10 + 1.645(1.294) = 10 + 2.13

So mean is 12.13

Round 27.977 to the nearest hundredth.
Answer

Answers

Answer:

27.98

Step-by-step explanation:

the second seven 27.9(7)7 is the hundreth place, so sense 7 is above five we round up to and eight, then get rid of the number after it

the answer is: 27.98 hope this helped !!

A board 8 ft long is cut into three equals pieces. How long are the pieces?

Answers

Answer:

A

Step-by-step explanation:

Which statement best describes the effect of replacing the function f(x) = 2x − 2 with the function g(x) = 2x + 5? (1 point)

The graph shifts 7 units left.
The graph shifts 5 units left.
The graph shifts 2 units up.
The graph shifts 3 units up.

Answers

Answer:

7 units leftjJakaKakoao

Answer:I thought it was 5 units up

Step-by-step explanation:

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HELP ANYBODY IMMA DROP OUTTT


Question * In pic :D *

Answers

Answer:

The answer to this is 27/8 :)

3 ⅜

is (3×8 + 3) / 8

= (24+3) / 8

= 27/8

Lorenzo caballero was just hired as an engineer for saxon engineering his starting salary is $57600 annually what is his semimonthly salary

Answers

2,400 is his semimonthly salary

What is the slope of the line represented by the following equation?
y= 1/3x + - 2/3
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B)-2/3
C)1/3
D)2/3

Answers

C 1/3
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Answers

Answer:

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Step-by-step explanation:

Look at the y-intercept first if crosses the origin then don't need to write anything. If it does you add it after the slope.

To find slope you can count how many units up or down it does and how many left or right.

Then write i as rise/run.

Hope this helps

alguma menina de 14 anos no tédio to querendo conhecer gente nova?

Answers

Answer:

Step-by-step explanation:

Oi eu tenho 15 anos

Answer:

OIE tudo bem?

eu tenho 15

y=2x+5
solve for y and x

Answers

Answer:

x = (2.5, 0)     y = (0, 5)

Step-by-step explanation:

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