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.

learn more about quadratic equations here :

https://brainly.com/question/17177510

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Related Questions

The expression
10
,
000
(
1.20
)
t
10,000(1.20)
t
represents the population of a town t years after 2000.
Select the value from each drop-down menu that best completes the sentence.
The population of the town
by
each year.

Answers

Answer:

According yo my calculations v=-92 that makes it so that 34×6÷39=124

Answer:

I Think it decreases by 10% each year.

Sorry if im wrong.

Solve x2 - 16x + 60 = -12 by completing the steps.

First, subtract [?] from each side of the equation.
what is [?]

Answers

Answer:

12

Step-by-step explanation:

x² - 16x + 60 = -12

→ Add 12 to both sides

x² - 16x + 72 = 0

How many variable terms are in the expression 3x3y + 5x2 − 4y + z + 9?

Answers

Answer:0

Step-by-step explanation:

What is the area of the trapezoid?
3 cm
9 cm
10 cm
9 cm
square centimeters

Answers

Answer:2430

Step-by-step explanation:

help me with my question​

Answers

Answer:

The Circumference of the circle = C = 24π mm

Hence, option C is true.

Step-by-step explanation:

Given

Radius  r = 12mm

To Determine

Circumference of circle C = ?

Using the formula to determine the Circumference of the circle

C = 2πr

substituting r = 12mm in the equation

C = 2π(12)

C = 24π mm

Therefore, the Circumference of the circle = C = 24π mm

Hence, option C is true.

show me a Graph x=−4.

Answers

Answer:

The graph of line x = -4  is also attached below.

The graph indicates that no matter what the value of y is, the x-value remains the same.  Hence, the line is vertical with undefined slope,

Step-by-step explanation:

Given the line

x=−4

The given line x=-4 represents the vertical. We know that the slope of a vertical line is undefined. Thus, the slope of x=-4 is undefined.

As the line is vertical, meaning no matter what the value of y is, the x-value remains the same.

The graph of the line x = -4  is also attached below.

The graph indicates that no matter what the value of y is, the x-value remains the same.  Hence, the line is vertical with undefined slope,

Help meee, What is the relationship between

Answers

Answer:

C

Step-by-step explanation:

The add to 180 because that's a straight line    

flip dip chip kick slick d- n-

plz help me ..!!!!!!​

Answers

answer should be G) (2,4,6,8)

Is (-5) x (-4) is negative or positive?

Answers

Positive. This is because when multiplying 2 Negatives, the negatives cancel out. Answer is 20

Ok i NEED HELP (skip number 2)

Answers

Do you still need help with this?

Answer:

[tex]\frac{8}{9} /12=\frac{2}{27}[/tex]

The GCF of 45 and 60 is 15

The GCF of 20 and 32 is 4  

The GCF of 16 and 24 is 8

The graph of the function y=tan(x) was horizontally stretched so that its period became 10π which is the equation of the transformed function?
y=tan(x/10)
y=tan(x/5)
y=tan(5x)
y=tan(10x)

Answers

Answer:

y=tan(x/10)

Step-by-step explanation:

actually period of tanx is Pi

so y=tan(x/10) is the answer

because you plug in x=10pi

you will get inside the bracelet is pi

Solve the simultaneous equations
4x + 2y = 8
2x - 5y = 10

y =
x=​

Answers

4x+2y=8. X= 2. Y= 4.00000

2x-5y=10. X= 5. Y= -2.00000

Those are the answers for both equations X and Y intercepts

What 3 linear equations with whose solution is x=2?

Answers

Answer:

look below

Step-by-step explanation:

1. x=4(5)/10

2. 2x-5=-1

3.  {x}^{2} - 4x + 4 = 0

Kate used 2/5 of a pound of sugar to bake cookies. She used another 3/4 of a pound of flour for the cookies. How many pounds of sugar and flour did she use in all? ASAP ANSWER PLS

Answers

Answer:

c. 1 3/20

Step-by-step explanation:

a guess hopefully you are right

Please help!!
Will mark brainliest

Answers

Answer:

16 sq. ft /minute

Step-by-step explanation:

If you look at the chart and go by every minute it turns into 16 sq. ft

Please help, i need explanation

Answers

Answer:

RST = 54° and x = 39°

Step-by-step explanation:

90 - 36 = 54

54 equals x + 15 =

54-15 = 39

x=39°

and RST = 54°

Nikita ran a 5-kilometer race in 39 minutes (0.65 of an hour) without training beforehand. In the first part of the race, her average speed was 8.75 kilometers per hour. For the second part of the race, she started to get tired, so her average speed dropped to 6 kilometers per hour. Which expression represents Nikita’s distance for the second part of the race?



6t
0.65 – t
6(0.65) – t
6(0.65 – t)

Answers

Answer: 6(0.65-t)



Step-by-step explanation:

Answer:

6(0.65 – t) or D

Step-by-step explanation:

correct on edge 2021

Which graphs are proportional?

Answers

Answer:

Its C because it passes through the origin. I learned about this.

Answer: C
Explanation: A proportional graph has a straight line that comes straight out of the origin (0) this is why D. cant be correct. A. Is not a straight line same with D.

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.

What were the names of the two sections ancient Egypt was divided into? 3 points
rich and poor
large and small
top and bottom
upper and lower
tamente is NOT true about the Nile delta?
Help please I will give brainliest:]

Answers

Answer:

Ancient Egypt included two regions, a southern region and a northern region. The southern region was called Upper Egypt. It was so named because it was located upriver in relation to the Nile's flow. Lower Egypt, the northern region, was located downriver.

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST

Lynn has a box of crayons.
4/9 of the crayons are blue
65% of the remaining crayons are red.
The other 14 crayons are yellow.
How many crayons are in the box altogether?​

Answers

Answer:

There are 72 crayons in the box

Step-by-step explanation:

Fractions

To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.

Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:

[tex]1-\frac{4}{9}=\frac{5}{9}[/tex]

From that portion, 65% are red, or equivalently, 35% are yellow.

We write 35% as a fraction:

[tex]\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}[/tex]

Thus, the portion of yellow crayons is:

[tex]\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}[/tex]

This fraction of x crayons is equal to 14, thus:

[tex]\displaystyle x=\frac{14}{\frac{7}{36}}=14\cdot\frac{36}{7}[/tex]

x = 72

There are 72 crayons in the box

Select the graph for the solution of the open sentence. Click until the correct graph appears.

|x| = -2

Answers

Answer:

No solution (2nd graph)

Step-by-step explanation:

The absolute value of any number can't be negative, so there is no solution to this problem.

Answer:

second one (no solution)

Step-by-step explanation:

Write and solve a proportion to answer the question.

What number a is 25% of 78?

=25/100
Question 2
a=

Answers

Answer:

[tex]a = 25\% \: of \: 78 \\ a =\frac{25}{100} \times 78 \\ a = \frac{1}{4}\times 78 \\ \boxed{a = 19.5}[/tex]

a=19.5 is the right answer.

Answer:

uh i dont know but i think the other person answered thx

Step-by-step explanation:

There are 20 students in a class and 14 of these students passed their Geometry test. What percentage of these students passed their test?

Answers

Answer:

70%

Step-by-step explanation:

Simply do 14÷20

0.7

70% passed

3
Which of the following correctly simplifies the expression
? (5 po
6
52
25
9
32
125
53
01) ( )* -
O2) )***
O 3) (?:")* = 2:0 =0
O4) (239)
12
- 0
15
Question 5 (5 points)

Answers

Answer:

Option 1 is correct i.e.

[tex](\frac{2^3\:\textbf{.}\:3^0}{5})^2=\frac{2^6.1^2}{5^2}=\frac{64}{25}[/tex]

Step-by-step explanation:

We need to simplify the expression: [tex](\frac{2^3\:\textbf{.}\:3^0}{5})^2[/tex]

We know that: [tex](a^m)^n= a^{m*n}[/tex] and [tex]a^0=1[/tex]

We would use these exponent laws to solve our question.

First we will apply [tex]a^0=1[/tex]

[tex](\frac{2^3\:\textbf{.}\:3^0}{5})^2\\=(\frac{2^3\:\textbf{.}\:1}{5})^2\\[/tex]

Now, we will apply [tex](a^m)^n= a^{m*n}[/tex]

[tex]=\frac{(2^3)^2\:\textbf{.}\:1^2}{5^2}\\=\frac{2^6\:\textbf{.}\:1}{5^2}\\=\frac{64}{25}[/tex]

So, the result is: [tex]\frac{64}{25}[/tex]

Therefore, Option 1 is correct i.e.

[tex](\frac{2^3\:\textbf{.}\:3^0}{5})^2=\frac{2^6.1^2}{5^2}=\frac{64}{25}[/tex]

round the number 15.39624 to 2 decimal places​

Answers

Answer:

answer is 15.40 because 9 is greater than 5 so 1 is carry over it .So answer is 15.40

please help me !:( it’s due at 8:30

Answers

Answer:

y=-4x+5

Step-by-step explanation:

Let us first find the slope.

Given the points, (0,5) and (1,1) The slope of the line is (5-1)/(0-1)=

4/-1=

-4

The line also intercects the y axis at (0,5) Therefore, the b intercept would be 5

The final equation would be,

y=-4x+5

I hope this helps! :)

Answer:

y = -4x + 5

hope this helps !! have a fantastic day :))

please help i will give brainliest

Answers

Answer:

its a because it all adds up

Step-by-step explanation:

help me answer this trignometry question. the final answer is actually is 18.3 .but i get something else.​

Answers

Answer:

y ≈ 18.3

Step-by-step explanation:

Using the sine ratio in the right triangle

sin41° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{y}[/tex] ( multiply both sides by y )

y × sin41° = 12 ( divide both sides by sin41° )

y = [tex]\frac{12}{sin41}[/tex] ≈ 18.3 ( to 1 dec. place )

I can’t figure this out.

Answers

Answer:

b

Step-by-step explanation:

Answer:321311

idgaf aufabydg gog7teabjkdgkj

Step-by-step explanation:

grsbrgbrtBBERQWQFF

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