Solve x2 + 6x = -6. If exact roots cannot be found, state the consecutive
integers between which the roots are located.

Answers

Answer 1

x²+6x=-6 ‖+6

x²+6x+6=0

x1=-(6/2)+√((6/2)²-6)= -3+√(3) or ≈ -1.267

x2=-(6/2)+√((6/2)²-6)= -3-√(3) or ≈ -4.732

Answer 2

The roots of the quadratic equation, x² + 6x = - 6 are between - 2 and - 1,

and 1 and 2.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, x² + 6x = - 6.

We know in ax² + bx + c = 0, x = ± √(b² - ac)/2a.

∴ x² + 6x + 6 = 0.

x = ± √(36 - 24)/2×1.

x = ± √(12)/2.

x = ± (2√3)/2.

x = ± √3.

We know √3 is between 1 and 2 and - √3 is between - 2 and - 1.

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Related Questions

I need help on finding the volume of A cylinder and the meaning of pi

Answers

Answer:

Pie is the ratio of the circumference of a circle to it’s diameter.

For your first problem this is the set up
V=3.14 x 5^2 x 6
(3.14)(25)=
78.5
(78.5)(6)=
471

What is the area of the figure?

Answers

Answer:

Area of the triangle :---

1/2×base×height

1/2×5×6

15 square unit

15 square unit is the right answer.

The value of a bank account is –$28. Money is then deposited into the account. Which could represent the value of the
account now?
Select all the correct answeis
-$33
- $6
-$45
$17
$0

Answers

Answer:

-$6, $0, and $17

A store pays $ 56 for a cell phone. The store marks the price at 20%. What is the quantity of the mark?

Answers

Answer:

The quantity of the mark is $11.20

Step-by-step explanation:

Given that:

Amount paid by store for cell phone = $56

The store marks the price at 20%.

Quantity of the mark = 20% of 56

Quantity of the mark = [tex]\frac{20}{100}*56[/tex]

Quantity of the mark = 0.2 * 56

Quantity of the mark = $11.20

Hence,

The quantity of the mark is $11.20

Factor out the coefficient of the variable -3.6m + 10.8

Answers

Answer: -1

Step-by-step explanation: First, factor out 3.6. You should get -m+3. Since the coefficient is just the number being multiplied to the variable (which is m here), your coefficient should be -1 because m is being multiplied to -1 to make -m. Hope this helps!

Please help, i’m so confused !

Answers

Answer:

The closest integer to the square root of 2 is 1.

I need help please i got stuck so please help me

Answers

i hope you get outtttt
ᑘᘻᘻ ᓍᖽᐸᗩᖻ ᖶᕼᘿ ᗩᘉSᘺᘿᖇ ᓰS
ᘺᕼᘿᖇᘿ ᓰS ᖶᕼᘿ ᕴᑘᘿSᖶᓰᓍᘉ

I need answers 1-6 please!! Thank you :))

Answers

Answer:

Step-by-step explanation:

Let the number be x

1.x-10

3.-8x+1

4.19x-½

5.(x+15)²

Help me with this please

Answers

Answer:

C

Step-by-step explanation:

HOPE THIS HELPS

how do u do this one? -4x=-20

Answers

Answer:

x=5

Step-by-step explanation:

you are solving for x

so...

start off by figuring out what goes into 20 4 times

you can also just do 20 divided by 4 which would give you 5

What is the EP unit cost of bell pepper if the AP unit cost is 1.10 per pound and the yield percent is 85%?

Answers

Answer:

1.30

Step-by-step explanation:

The formula for EP cost is given as:

EP cost = AP cost / yield

From the Question,

AP unit cost = 1.10 per pound

The yield percent = 85%

EP cost = 1.10/85%

EP cost = 1.2941176471

Approximately

The EP unit cost of bell pepper = 1.30

TIMED

What is the value of x and y??

Answers

Answer:

X=11 not so sure about y

Step-by-step explanation:

Since this is a square, x and 11 sides are the same. So, x would have to be 11. Sorry I can’t help on y but I hope this helps.

Help me and I'll use my alt to be able to give you brainlist

Answers

Answer:

its b bc pi(d) is the circumference so u just have to reverse to find either the diameter or pi

Step-by-step explanation:

simplify the expression by combing all like terms 3z+ 8x+4z

Answers

Answer:

I got the awnser here u go hope u have a good day

Step-by-step explanation:

8x+7z hope this helps

How much interest will you earn on a $90 investment at an interest rate of 3.6% over 5 months?

Answers

Answer:

well ik Yearly it would be 93$ and monthly it would be 93$

Step-by-step explanation:

It is important to remember that these scenarios are hypothetical and that future rates of return can't be predicted with certainty and that investments that pay higher rates of return are generally subject to higher risk and volatility. The actual rate of return on investments can vary widely over time, especially for long-term investments. This includes the potential loss of principal on your investment. It is not possible to invest directly in an index and the compounded rate of return noted above does not reflect sales charges and other fees that investment funds and/or investment companies may charge.

help pls, solve what u can​

Answers

Answer:

1. V≈1244.07

2. V≈54286.72

3.V≈23816.41

4. V≈254.47

5. V≈4247.43

6. V≈21714.69

7. V≈4712.39

Step-by-step explanation:

use the formula V=πr^2h

The volume of the given cylinders is 1. V≈1244.07 2. V≈54286.72 3. V≈23816.41 4. V≈254.47 5. V≈4247.43 6. V≈21714.69 7. V≈4712.39.

What is the volume of a cylinder?

The volume of the cylinder is the product of the height, pie, and square of the radius.

The volume of the cylinder = [tex]\pi r^{2} h[/tex]

A.

a) The height of the cylinder is given as 11 in and the radius is 6 in.

So, The volume of the cylinder = [tex]\pi r^{2} h[/tex]

                                                    = 3.14 x 6^2 x 11

                                                    = 1244.07cubics in

b)  The height of the cylinder is given as 30 in and the radius is 24 in.

So, The volume of the cylinder = [tex]\pi r^{2} h[/tex]

                                                    = 3.14 x 24^2 x 30

                                                    = 54286.72 cubics in

c) The height of the cylinder is given as 21 in.

The radius of the base of the cylinder is given as 19 in.

So, The volume of the cylinder = [tex]\pi r^{2} h[/tex]

                                                    = 3.14 x 19^2 x 21

                                                    = 23816.41 cubics in

B.

d) The height of the cylinder is 9ft the radius is 3 ft.

So, The volume of the cylinder = [tex]\pi r^{2} h[/tex]

                                                    = 3.14 x 3^2 x 9

                                                    = 254.47 cubics ft

e) The height of the cylinder is 8 ft the radius is 13 ft.

So, The volume of the cylinder = [tex]\pi r^{2} h[/tex]

                                                    = 3.14 x 13^2 x 8

                                                    = 4247.43 cubics ft

f) The height of the cylinder is 27 ft the radius is 16 ft.

So, The volume of the cylinder = [tex]\pi r^{2} h[/tex]

                                                    = 3.14 x 16^2 x 27

                                                    = 21714.69 cubics ft

g) The height of the cylinder is 15 ft the radius is 10 ft.

So, The volume of the cylinder = [tex]\pi r^{2} h[/tex]

                                                    = 3.14 x 10^2 x 15

                                                    = 4712.39 cubics ft

Learn more about cylinder;

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Will give they crownnnnn

Answers

Answer:

c 44

Step-by-step explanation:

Answer: 44

55^2 minus 33^2 = radical 1936 which equals to 44 because 44^2 is.. 1936

Solve for x

A. 15
B. 22
C. 14
D. 21
E. 105

Answers

5x + 3 = 108
5x = 105, x = 21
Solution: D
I think answer should a. Please give me brainlest let me know if it’s correct or not okay thanks bye

What is x if n≠m? Please help!

Answers

Answer: [tex]x = \frac{mn(q - p)}{n-m}\\\\[/tex]

================================================

Work Shown:

Part 1

[tex]\frac{x-m}{m} + p = \frac{x-n}{n} + q\\\\\frac{x-m}{m} - \frac{x-n}{n} = q - p\\\\\frac{n(x-m)}{mn} - \frac{m(x-n)}{mn} = q - p\\\\\frac{xn-mn}{mn} - \frac{xm-mn}{mn} = q - p\\\\\frac{xn-mn-(xm-mn)}{mn} = q - p\\\\[/tex]

Part 2

[tex]\frac{xn-mn-xm+mn}{mn} = q - p\\\\\frac{xn-xm}{mn} = q - p\\\\\frac{x(n-m)}{mn} = q - p\\\\x(n-m) = mn(q - p)\\\\x = \frac{mn(q - p)}{n-m} \\\\[/tex]

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

Explanations:

There are quite a bit of steps. I decided to break things into two parts.The goal is to get x all by itself on its own side, which is why I subtracted (x-n)/n from both sides in part 1, step 2. I also subtracted p from both sides.Afterward, I gave each fraction the LCD mn. I multiplied top and bottom of the first fraction by n/n. I did a similar operation to the second fraction, but with m instead.From there, we distribute and simplify. The mn terms cancel on the left side numerator (second step of part 2).The n≠m is there to prevent the denominator (n-m) from being zero. We cannot divide by zero. If the formulas don't properly display, then you might have to refresh the page.

The arena set-up team’s work schedule is shown in the table below. Convert the minutes worked into hours.

Staff Member Minutes Worked Hours Worked
converting hours into fractions
Mike Chewer 870


Jennifer Glass 225


Fred Carlton 75


Amy Amaretto 720

Answers

Answer:

[tex]Mike\ Chewer = 14\frac{1}{2}\ hr[/tex]

[tex]Jennifer\ Glass = 3\frac{3}{4}\ hr[/tex]

[tex]Fred\ Carlton = 1\frac{1}{4}\ hr[/tex]

[tex]Amy\ Amaretto = 12\ hr[/tex]

Step-by-step explanation:

Given

[tex]Mike\ Chewer = 870\ minutes[/tex]

[tex]Jennifer\ Glass = 225\ minutes[/tex]

[tex]Fred\ Carlton = 75\ minutes\\[/tex]

[tex]Amy\ Amaretto = 720\ minutes[/tex]

Required

Convert to hours (in fraction)

To do this, we simply divide the time by 60

[tex]Mike\ Chewer = 870\ minutes[/tex]

Divide by 60

[tex]Mike\ Chewer = \frac{870}{60}\ hr[/tex]

[tex]Mike\ Chewer = \frac{87}{6}\ hr[/tex]

Express as mixed numbers

[tex]Mike\ Chewer = 14\frac{3}{6}\ hr[/tex]

Simplify

[tex]Mike\ Chewer = 14\frac{1}{2}\ hr[/tex]

[tex]Jennifer\ Glass = 225\ minutes[/tex]

Divide by 60

[tex]Jennifer\ Glass = \frac{225}{60}\ hr[/tex]

Express as mixed numbers

[tex]Jennifer\ Glass = 3\frac{45}{60}\ hr[/tex]

Simplify

[tex]Jennifer\ Glass = 3\frac{3}{4}\ hr[/tex]

[tex]Fred\ Carlton = 75\ minutes\\[/tex]

Divide by 60

[tex]Fred\ Carlton = \frac{75}{60}\ hr[/tex]

Express as mixed numbers

[tex]Fred\ Carlton = 1\frac{15}{60}\ hr[/tex]

Simplify

[tex]Fred\ Carlton = 1\frac{1}{4}\ hr[/tex]

[tex]Amy\ Amaretto = 720\ minutes[/tex]

Divide by 60

[tex]Amy\ Amaretto = \frac{720}{60}\ hr[/tex]

[tex]Amy\ Amaretto = 12\ hr[/tex]

en un auditorio de un pueblo hubo 600 personas en un evento, en total se recaudaron 13 mil pesos. el precio de admision fue 25 pesos para los adultos y 15 pesos para los niños. plantea un sistema de ecuaciones que represente los sucedido

Answers

Answer:

There were 200 children and 400 adults in the auditorium.

Step-by-step explanation:

Given that there were a total of 600 peoples in the event.

Let there were n children in the event.

So, the number of an adult in the event = 600-n

As the admission price for one child = 15 pesos

and the admission price for one adult = 25 pesos.

So, total admission price = 15n+25(600-n)

As total money raised = 13000 pesos

So, 15n+25(600-n)=13000

15n+15000-25n=13000

10n=15000-13000=2000

n=2000/10=200

Therefore, number of children = 200

and the number of adults = 600-200=400.

Hence, there were 200 children and 400 adults in the auditorium.

question!! if anyone knows!!!

Answers

Answer: 10
Your welcome

Question 1 of 10
What is the simplified form of the rational expression below?
5x -5
3x +3X
A.
5(x-1)
3
B.
5(x - 1)
3X
C.
5(x + 1)
3x
D.
5(x + 1)
3

Answers

Answer:

b. if it asks for the answer it's -45x

Step-by-step explanation:

C=S + 16
The variable s represents the number of additional sticks of butter Max buys, and the variable
c represents the total number of cakes he can bake. How many additional sticks of butter
does Max need in order to bake a total of 17 cakes?

Answers

I’m pretty sure it’s 1 you would do 17=s+16 and you would get 1.

POSSIBLE
Find the Volume and Surface Area of the figure below:

Answers

Answer:

Volume = 216

Surface Area = about 250.74

Step-by-step explanation:

Formulas

Volume = lwh/3

Surface area formula below v

The range of f(x) = |x| is y ≥ 0. If a < 0 and b ≠ 0 for g(x) = a|x| + b, what is the range of function g?

Answers

The required range of the function g(x) = a|x| + b is y ≥ 0.

Let's analyze the function g(x) = a|x| + b step by step to determine its range.

The function |x| represents the absolute value of x, which means it always yields non-negative values. Therefore, a|x| will also be non-negative for any value of x.

Adding b to a non-negative value will shift the entire range up by b units, but it will still be non-negative.

Since a < 0, a|x| will be negative when x is positive. However, the absolute value function ensures that it will be positive when x is negative, balancing out the effect.

Finally, adding the constant term b to a|x| makes the entire range of g(x) non-negative.

In summary, the range of g(x) = a|x| + b is y ≥ 0.

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Can someone pleaseeee help if you’re correct I’ll give u brainlist

Answers

y = 7 most likely beacuse  p=1 r =7 q = 6

r + q =13

p + r = 8

p+q=7

y = 7

how do I graph an equation?

Answers

Answer:

1. Locate the y-intercept on the graph and plot the point.

2. From this point, use the slope to find a second point and plot it.

3. Draw the line that connects the two points.

(x^3- 5x² – 33x – 35) /(x+3)

Answers

Answer:

x^2-8x-9-8/x+3

Step-by-step explanation:

If a scatter plot shows a positive association, the slope of the line of best fit is positive.
True or False?
True
False

Answers

Step-by-step explanation:

False False i think i think!!

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