Solve for x x^2 + 6x + 1 = 0

Answers

Answer 1

Answer:

x = -.1715 ≈ - .172    or x = -5.83

Step-by-step explanation:

x² + 6x + 1 = 0

x² + 6x = -1

Complete the square   Add to both sides (1/2 of the x-term, then square it.)

x² + 6x + 9  = -1 + 9

(x + 3)(x + 3) = 8

(x + 3)² = 8

[tex]\sqrt{(x + 3)^{2}[/tex]  = [tex]\sqrt{8}[/tex]

 x + 3 = ±  [tex]\sqrt{8}[/tex]

  x = -3 ± [tex]\sqrt{8}[/tex]

   x = -3 + [tex]\sqrt{8}[/tex]   or x = -3 - [tex]\sqrt{8}[/tex]

   x = -.1715 ≈ - .172    or x = -5.83


Related Questions

What is the length of each side of this equilateral triangle?
A) 42
B) 30
C) 15
D) 12

Answers

Answer:

C I think hope you help this my answer

Answer:

15

Step-by-step explanation:

no explanation

A faucet can fill a bathtub in 6 minutes. the drain can empty the tub in 10 minutes. If both the faucets and the drain are open at the same time, this situation is represented by this expression, where t is the number of minutes it will take to completely fill the bathtub.

[tex] \frac{t}{6} - \frac{t}{10} [/tex]
which expression can also represent this situation?

Answers

Answer:

4t/15

Step-by-step explanation:

Please trust me

PLEASE HELP GIVING BRAINLIEST! :)

Answers

Answer:

10

Step-by-step explanation:

3a+b - 4

Let a =3 and b = 5

3(3) +5 -4

Multiply

9+5-4

Add and subtract

14-4

10

Answer:

10

Step-by-step explanation:

a = 3b = 5

= 3a + b - 4

= 3(3) + 5 - 4

= (3 . 3) + 5 - 4

= 9 + 5 - 4

= 9 + 1

= 10

Simplify the linear expression.

−2/3a+1/8−1/6a−3/4

Enter your answer as simplified fractions in the boxes.

Answers

Answer:

-5/6a - 5/8

Step-by-step explanation:

i took the k12 quiz

is 10/110 an irrational or rational number

Answers

Hello there!

10/110 is a rational number because it can be expressed in the form p/q (where p is the numerator and q is the denominator)

Therefore, 10/110 is a rational number.

Hope this helps you!

~Just a felicitous girlie

#HaveAGreatDay

[tex]SilentNature :)[/tex]

170 students or 85% of the students went to attend college what are the total number of students?

Answers

Answer:

200

Step-by-step explanation:

I think sorry if I am wrong

-0.75___-3/4
which one is greater

Answers

[tex]\huge\text{\bf Hey there!}[/tex]

[tex]\huge\text{GUIDE} \ \boxed{\downarrow}\\\large\boxed{\mathsf{>: is \ \bf greater \ than }}\\\\\large\boxed{\mathsf{<: is \bf \ less\ than}}\\\\\large\boxed{\mathsf{\geq: is \ \bf greater\ than\ or\ equal\ to}}\\\\\large\boxed{\mathsf{\leq: is\ \bf less\ than\ or\ equal\ to}}\\\\\large\boxed{\mathsf{=: is \ \bf equal \ to}}[/tex]

[tex]\huge\text{GUIDE \#2}\ \boxed{\downarrow}\\\large\text{When you are working with greater than, you're basically shows}\\\large\text{when a number is BIGGER than the other number.}\\\\\large\text{When you are working with less than you are finding the opposite}\\\large\text{of greater than. (it shows when a number is SMALLER than the}\\\large\text{number.)}[/tex]

[tex]\\\large\text{When you are working with greater than or equal to, you are }\\\large\text{basically finding out if the number is greater or equal to the other }\\\large\text{number.}\\\\\large\text{When you are working with less than or equal to you are trying to}\\\large\text{figure out if your number is less than or equal to the other}\\\large\text{number.}[/tex]

[tex]\huge\text{ANSWERING YOUR GIVEN QUESTION}\ \boxed{\downarrow}[/tex]

[tex]\large\boxed{\rm{-0.75 \ ? \ -\dfrac{3}{4}}}[/tex]

[tex]\large\text{I'm going to make this easier to solve for you. I will convert the}\\\large\text{fraction }(\rm{-\dfrac{3}{4}})\large\text{ into a decimal. To do so, you have to DIVIDE the}\\\large\text{numerator (the number on TOP) from the denominator (the}\\\large\text{BOTTOM number)}[/tex]

[tex]\large\text{REMEMBER }\textbf{!}\\\large\text{Negatives are BELOW zero. (including decimals \& fractions).}\\\\\large\text{Positives are ABOVE zero}[/tex]

[tex]\large\boxed{{\mathsf{- \dfrac{3}{4}}}}\\\\\\\large\boxed{\mathsf{\rightarrow - 3\div 4}}\\\\\\\large\boxed{\rightarrow\mathsf{-0.75}}[/tex]

[tex]\large\text{Therefore, -0.75 and }\rm{-\dfrac{3}{4}}\large\text{ are equivalent to each other}[/tex]

[tex]\huge\boxed{\text{Therefore, your answer is: }}\ \huge\boxed{\mathsf{-0.75 \bold{\ =} -\dfrac{3}{4}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

The number farthest to the right is the greater number.

Step-by-step explanation:

The table below represents a linear function. Identify the rate of change of the function.
(0,4) (4,-3) (8,-10) (12,-17)

Answers

Step-by-step explanation:

the rate of change is the slope of the line y/x. it is always the factor of x in the equation.

it indicates how many units y changes, when x changes a certain amount of units when going from one point to another.

we only need to look at 2 points.

to go from (0, 4) to (4, -3)

x changes by +4 (from 0 to 4),

y changes by -7 (from 4 to -3).

so the rate of change is -7/3

Write the equation of the arithmetic sequence “24, 34, 44, 54...” and then Find the 100th term.

show your work.

Answers

Answer:

1014

Step-by-step explanation:

Remember this formula to find certain terms in arithmetic sequences:

[tex]t_{n} =t_{1} +(n-1)d[/tex]

n = term number

[tex]t_{1}[/tex] = term #1

d = common difference

Sequence = 24, 34, 44, 54...

We are looking for term #100

So we do

[tex]t_{100} = 24 + (100-1)10\\t_{100} = 24 + 1000 - 10\\t_{100} = 24 + 990\\t_{100} = 1014[/tex]

Using the discriminate. Find the number of real solutions. 2^2+7x-15=0

Answers

Answer:

= 11/7

Step-by-step explanation:

Poppy gives one half of a cake to her big brother and the other half to her three friends who share it equally. What fraction of the cake does each friend get?

Please help!! ​

Answers

Answer:

1/12

Step-by-step explanation:

Solve the math problem

Only solve 3 and 4

Answers

Answer:

nothing is being showed

Step-by-step explanation:

Answer:

Step-by-step explanation:

3) Cost of o balloons = 0

4) It represents a proportional relation ship.

Reason

[tex]\dfrac{25.50}{3}=\dfrac{42.50}{5}=\dfrac{59.50}{7}=\dfrac{76.50}{9}=8.5[/tex]

The hypotenuse of a certain number is 5 units and one leg is 3 units long. Find the area of the triangle

Answers

Answer:

Area: 6

Step-by-step explanation:

It's a five, four, three triangle. Multiply 3 by 4, then divide the answer by 2 to find the area.

-2z+3-z=□-4z+2
please give me the answer

Answers

Answer: z=-1

Step-by-step explanation:

[tex]\displaystyle \rm -2z+3-z=-4z+2 \\\\ -3z+3=-4z+2 \\\\ 4z-3z=-3+2 \\\\ \underline{z=-1 \ \ \ \ } \\\\[/tex]

[tex]\large{\rm{\underline{\underline{Answer:}}}}[/tex]

Given to solve: -2z+3-z = -4z+2

⇛ -3z + 3 = -4z + 2

⇛ -3z + 4z = 2 - 3

z = -1

Required value of z is -1. The steps we followed are: We shifted z to a single side and other numbers to other side. Then we equated to get the result.

vanillaor chocolate?? xD lol >:>

Answers

Answer:

Chocolate for sure XD

Step-by-step explanation:

Hope this helps!! lol

HELP ASAP FOR BRAINLIST CROWN
Which function has the greater y-intercept? What is that value?

-10


4


10


3


16


Function A; 1.5


Function B; 30


Function B; 23


Function B; 3


8


2


Function A; 1


Function B; 1


Function A; 9

Answers

Answer:

function A;1

function B:30

if you help me you get brainly

Answers

Answer:

3 ( 917 ) = 3 ( 900 ) + 3 ( 10 ) + 3 ( 7 )

5 ( 209 ) = 5 ( 200 ) + 5 ( 0 ) + 5 ( 9 )

6 ( 347 ) = 6 ( 300 ) + 6 ( 40 ) + 6 ( 7 )

9 ( 821 ) = 9 ( 800 ) + 9 ( 20 ) + 9 ( 1 )

11 ( 142 ) = 11 ( 100 ) + 11 ( 40 ) + 11 ( 2 )

Step-by-step explanation:

Answer:

Hint(look at the first number in each part and math it with the first number in each answer.) For example, 3(937), the distributive property for that one would be 3(900) + 3(30) + 3(7). Then for 5(209) it would be 5(200) + 5(0) + 5(9), then for 6(342), it would be 6(300) + 6(40) + 6(2). Then for 9(821), it would be 9(800) + 9(20) + 9(1), and for the last one it would be 11(143), it would be 11(140) + 11(40) + 11(3). You basically distribute each amount into different place values.

Step-by-step explanation:

Hope it helps. Mark brainiest if it does!

What is the equation of the line in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

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

Step-by-step explanation:

The slope is calculated by "up ÷ across".

= -1 ÷ 4

= [tex]-\frac{1}{4}[/tex]

The y-intercept is just 0 (because the line meets at the y axis at 0).

So, using [tex]y=mx+b[/tex] (where m = slope and b = y-intercept),

[tex]y=-\frac{1}{4}x+0[/tex]

but the '+0' is unnecessary so we just say [tex]y=-\frac{1}{4}x[/tex]

-6 a solution to x<-8 yes or no

Answers

Answer:

No its not

Step-by-step explanation:

-6 is greater then -8 and in this case it’s not less then -8

What equation is graphed in this figure?
A: y−3=32(x+1)

B: y+1=−23(x−3)

C: y−4=−23(x+2)

D: y+2=−32(x−2)

Answers

The answer is B!! Have a good day

-18 = 3 (-z + 6) + 2z

Answers

Answer:

z = 36

Step-by-step explanation:

1) Distribute

-18 = -3z + 18 + 2z

2) Combine like terms

-18 = -z + 18

3) Subtract 18 from both sides of the equation

-18 - 18 = -z + 18 - 18

4) Simplify

a. Subtract the numbers

-36 = -z + 18 - 18

b. Subtract the numbers

-36 = z

5) Divide both sides of the equation by the same term

-36/ - 1 = -z/-1

6) Simplify

a. Divide the numbers

36 = -z/-1

b. Cancel terms that are in both the numerator and denominator

36 = z

c. Move the variable to the left

z = 36

Percent of 51,300-45,800

Answers

Answer: the percent is 112.01. please mark brainliest

Step-by-step explanation:

7.0g divided by 5.6g/cm cubed​

Answers

Answer:

Should be 1.25cm

Step-by-step explanation:

c.
The family purchased refreshments and spent a total of $18.50. If the total amount of money spent
on tickets and refreshments was $94.50, use an equation to find the cost of one regular admission
ticket.

How would you write the equation?

Answers

(94.50 - 18.50) ÷ f = a

f=family members

a=answer

I don't know how many family members there are, but you would just replace f with the amount.

The size of an insect population doubles every week. If there are 25 insects initially present, how many insects will there be in eight weeks?

Answers

Answer:

tence there will be 6,00 insects abter 8 weeks.

Step-by-step explanation:

Which is equivalent to 4√3



will mark brainlist if right

Answers

Answer:

The result can be shown in multiple forms.

Exact Form: 4√3 = √48

Step-by-step explanation:


4√3 is equivalent to √48

Complete the equation to calculate the cost of the portable speaker, including sales tax.
$53
=
% of $50

Answers

Answer: The answer to this math question about completing the equation in order to calculate the cost of the portable speaker, including the sales tax is $94.34.

Step-by-step explanation: I don't have any step-by-step explanation, I'm sorry about that, but anyway, I hope that my given short answer is very helpful to your own math question about completing the equation in order to calculate the cost of the portable speaker, including the sales tax, please mark me as Brainliest, take care, always be safe, and have a great rest of the day! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

Help? I need question 1-8 answers .

Answers

1) These angles are actually equal so set the equation to…
58=5x-2
60=5x
X=12


2) These angles are also equal to each other
16x+22=134
16x=112
X=7


3) These angles are equal too
7x-1=125
7x=126
X=18


4) These angles are supplementary so they add to 180 degrees
9x+2+133=180
9x+135=180
9x=45
X=5


5) These angles are equal as well
8x-77=3x+38
5x-77=38
5x=115
X=23


6) These angles are also equal
11x-47=6x-2
5x-47=-2
5x=45
X=9


7) these also sum to 180
13x-21+5x+75=180
18x+54=180
18x=126
X=7


8) These angles add to 180 as well
9x-33+5x+3=180
14x-30=180
14x=210
X=15

In conclusion, just know how to solve simple one variable equation and know which angles are congruent and supplementary and this will be easy.

Answer:

Hi please resend the question so i can help u!

Step-by-step explanation:

How many video games were sold in the year 2001

Answers

Answer:

265

Step-by-step explanation:

you only need to do is simplify the expression.

Plzzzzzx help meeeeee

Answers

Step-by-step explanation:

first find out the area of sector ECF

π(10)² × 40°/360°

=100π×1/9

=100π/9 m²

now find the area of sector DCG

π(2)² × 40°/360°

=4π/9 m²*

so the area of the shaded region would be the big sector minus the small sector

so

100π/9 - 4π/9

=96π/9

=33.5 m² (3sig.fig.)

*Note that 4π/9 DOES NOT equal to 2π/3

4/9 DOES NOT EQUAL TO 2/3

Other Questions
What is recycling? How does it help in management of hazardous waste? Which of the following BEST summarizes a common argument against admitting California as a free state? A. It would force the federal government to cover the debts of building the western railroads. B. It would disrupt the existing balance of power between slave states and free states. C. It would encourage other territories to enter the union as free states. D. It would tip the balance of free and slave states in favor of free states. PLEASE HELP WILL GIVE FULL PONITS! 3. Using the known angle, what side is known? What side is unknown? Use opposite, adjacent, or hypotenuse in your answer. (2 points) Known side: ____________________Unknown side: ___________________________4. What trigonometric ratio would you use to find the distance from the base of the tower to your keys? Identify your choice, and then calculate the distance. (4 points: 1 point for the ratio, 2 points for shown work, 1 point for the answer)Trigonometric ratio (name): ___________________________Calculation (Show your work):5. While you're at the top of the tower, you see an ant walking along the edge of the building. If the ant were to walk straight down the side of the tower until it reached the ground, how far would the ant travel? Which trigonometric ratio would you use to find this distance? Use the ratio to find the measurement. (4 points: 1 point for the method, 2 points for shown work, 1 point for the answer)6. Confirm that your answer to question 5 is correct using the Pythagorean Theorem instead of trig ratios. (3 points) Can somebody help me with this please? A carton of eggs costs $3.18 . each carton contains a dozen eggs. How much does each egg cost? What is nationwide? Francis maintenant aide please A particle moves along the x-axis so that time t>0 the position is given by x(t)=0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1. What is the velocity of the particle at the first instance the particle is at the origin? what is computer managers In a movie's opening weekend, 879,575 tickets are sold in 755 theaters. The average cost of a ticket is $9.50. What is the average amount of money earned by each theater? Felicia wants to keep her bill under $55. A cell phone provider charges Felicia $50 per month for her plan plus $0.05 per minute of long-distance calls. Which graph correctly shows the number of long-distance minutes Felicia can use this month? Which region is the only area to experience a Mediterranean climate?(10 points for question!) write a informal letter to convince your dad to buy you a car. 100 words please guys what are five example recurring decimal Explain why the square root of a number is defined to be equal to that number to the 1/2 power. PLZ HELP!!!!Use the function f(x)=x^2+4x-5 and the coordinate plane. SHOW ALL WORK FOR EACH PART!What are the values of a, b, and c? (3pts)Does the parabola open up or down? How do you know? (2pts)What is the maximum or minimum value? How do you know? (2pts)What are the x-intercepts? (2pts)What is the y-intercept? (1pt)What is the vertex? (2pt) regression and data analysis What percent is 30 out of 75? 1. Using what you know about similar triangles, find an equation for the line in the diagram. Find m (slope) and b (y-intercept) in the equation of the line: y = mx + b. Label your answers in decimal form if needed. m = b = 2. What is the slope of this line? Slope = 3. Is the point (9, 11) also on the line? (Type "YES" or "NO") 4. Is the point (100, 193) also on the line? (Type "YES" or "NO") 5. Is the point (20, 33) also on the line? (Type "YES" or "NO") Amy graphed a point to represent the absolute value of a number on a number line. If the original number is less than 10, describe all the possible values for the point Amy graphed on the number line.