Select the correct answer. What are the solutions of this quadratic equation?

6x^2 + 6 = 12x + 18

[tex]x = 1 + \sqrt{3} [/tex]
[tex]x = 2 + 2 \sqrt[]{3} [/tex]
[tex]x = 2 + \sqrt{6} [/tex]
[tex]x = - 1 \: and \: x = 3[/tex]


Answers

Answer 1

Answer:

x=1+√3

Step-by-step explanation:

Let's solve your equation step-by-step.

6x^2+6=12x+18

Step 1: Subtract 12x+18 from both sides.

6x^2+6−(12x+18)=12x+18−(12x+18)

6x^2−12x−12=0

For this equation: a=6, b=-12, c=-12

6x^2+−12x+−12=0

Step 2: Use quadratic formula with a=6, b=-12, c=-12.

x=−b±√b2−4ac/2a

x=−(−12)±√(−12)2−4(6)(−12)/2(6)

x=12±√432/12

x=1+√3


Related Questions

Can someone help me with this question please

Answers

9514 1404 393

Answer:

  linear

Step-by-step explanation:

We notice that adjacent x-values all differ by 1.

Similarly, we notice that all y-values differ by 0.5. When differences are constant, the function is linear.

another one! please help ..

Answers

Answer:

n has to be negative

Step-by-step explanation:

To solve this equation, 15 has to be subtracted from 2 which is negative

Since n is positive then the overall result will be negative

I need help in right triangle trigonometry can someone help we can text? There are 17 questions I need help with

Answers

Answer:

Okay, see, one or two questions I would help but doing your entire homework/test/quiz or whatever it is I don't think so. Why don't you at least try and then maybe i'll help.

Step-by-step explanation:

Which is the number name for 32.611? thirty-two and ciy bundrom​

Answers

Answer:

Winnipeg.

Step-by-step explanation:

In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Boubacar sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
120 visitors purchased no costume.
235 visitors purchased exactly one costume.
3 visitors purchased more than one costume.

Based on these results, express the probability that the next person will purchase no costume as a percent to the nearest whole number.

Answers

Answer:

Step-by-step explanation:

p[p

Answer: 34%

Step-by-step explanation:

(Trust me)

Simplify x + 6–3x – 8.

Answers

download Photomath that should help
Answer: = -2(x+1)

Hope I understood that correctly, and hope it helps!

Write a function for the line that includes the points (4,−5) and (8,−7).

Answers

Answer:imma try to help you

Step-by-step explanation:

The function for the line can be written as F(x) = -(1/2)x - 3.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that line that includes the points (4,−5) and (8,−7).

The slope will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( -7 +5  ) / ( 8 - 4)

Slope = -2 / 4= -1/2

The y-intercept will be calculated as,

y = mx + c

-7 = -1/2 x 8 + c

-7 = -4 + c

c = -3

The equation can be written as,

y = mx + c

y= -1/2(x) - 3

To know more about an equation of the line follow

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someone help me, graphs r shown!

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

explanation:

i answered the question

btw thanks for the brainliest

3. The fish tank shown at right needs to be cleaned. The cleaning product instructions state that three drops should be put in the tank for every 140 cubic inches of water. How many drops of cleaner should be used?​

Answers

Drops = 27

First, we need to find the volume of the given tank using the following equation

[tex]Volume = Length*Width*Height\\Volume =14*9*10\\Volume =1260\\[/tex]

Now that we know the volume, we need to find out how many drops that we need to use. We can find that out using the following equation

[tex]Drops = 3\frac{Volume}{140} \\Drops = 3\frac{1260}{140} \\Drops = 3(9) \\Drops = 27[/tex]

Solve the inequality. Enter the answer as an inequality showing the value of the variable to a number (like s < 1/2, or w = 1).

2x < -10

Answers

Answer:

x < -5

Step-by-step explanation:

For the most part, you solve inequalities the same way you solve equations. So for this one, we just needed to divide both sides by 2.

The solution to the inequality is: x < -5. To solve the inequality 2x < -10, follow these steps:

1. Divide both sides of the inequality by 2 to isolate x.

2. Remember to reverse the inequality sign when dividing by a negative number.

Step 1: Divide both sides by 2:

(2x) / 2 < (-10) / 2

Step 2: Simplify:

x < -5

The solution to the inequality is:

x < -5

To know more about inequality:

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-7 2/3 + (-5 1/2) + 8 3/4 = ????

Answers

Answer:

-52/12 or -4 5/12

Step-by-step explanation:

hope this help there 2 ways

Answer:

-53/12 same as -4 4/12 same as -4,416

Step-by-step explanation:

convierte el numero mixto a una fracción impropia

-23/3 + (-5 1/2) + 8 3/4

cuando se encuentren un + en frente de una expresión dentro de un paréntesis, la expresión se mantiene igual

-23/3 - 5 1/2 + 8 3/4

convierte el numero mixto a una fracción impropia

-23/3 - 5 1/2 + 35/4

convierte el numero mixto a una fracción impropia

-23/3 -  11/2 + 35/4

calcula la suma o resta

-53/12

in a restaurant, 4 out of every 12 customers order orange juice with there meal. What is the experimental probability that the next customer will oder orange juice with their meal.

Answers

Answer:

1/3 or 33%

Step-by-step explanation: Its a third

Answer:

4 + 12 = 16

Step-by-step explanation:

Find the coordinates of point M, that partitions the directed line segment SY from S(4,2) to Y(-4,-6) in a ratio of 1/3.

Answers

Answer:

the coordinates of  point M = (2,0)

Step-by-step explanation:

Given;

point S along the segment, = S(4,2)

point Y along the segment, = Y(-4, -6)

ratio of the partition = ¹/₃

total ratio = 1 + 3 =  4

The midpoint of segment SY is calculated as follows;

[tex]mid-point (o) = \frac{x_1 + x_2}{2} ,\ \frac{y_1 + y_2}{2}\\\\ mid-point (o) = \frac{4 + (-4)}{2} , \ \frac{2+ (-6)}{y} \\\\mid-point (o) = \frac{0}{2} , \ \frac{-4}{2} \\\\mid-point (o) = (0, \ -2)[/tex]

The coordinates of point M is calculated as follows;

point M divides the segment into 4 equal parts with point O as the mid-point.

                M

S--------------|-------------------O-------------------|-------------------Y

|SO| = |OY|

[tex]The \ mid-point \ of \ SO = M\\\\Point \ S = (4,2) \\\\Point \ O = (0,-2) \\\\Point \ M = \frac{4 + 0}{2}, \frac{2 - 2}{2} \\\\ Point \ M = 2, 0 \\\\M = (2,0)[/tex]

Therefore, the coordinates of  point M = (2,0)

An online furniture store sells chairs for $100
each and tables for $500 each. The store must
sell a minimum of $8300 worth of chairs and
tables each day. Write an inequality that could
represent the possible values for the number of
tables sold, t, and the number of chairs sold, c,
that would satisfy the constraint.

Answers

Answer:

13 3/4

Step-by-step explanation:

BRAINLIEST TO CORRECT ANSWER!!! NO links as answers, or you will be reported!! (question 4)

Answers

Answer:

Hello! Your answer would be, C) Divide by 2

Step-by-step explanation:

And plz don't be mean. :(

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

How does 0.07/2.8 equal the same answer as 7/280?

Answers

Answer:

4.065

Step-by-step explanation:

40.6 divide by 5 so answer is 4.065

Answer:

Step-by-step explanation:

0.07/2.8 = 0.025

7/280 = 0.025

Yes they are same because their answer is same

11. A rectangle has a diagonal of length 10 units and one side of length 6 units.
How many units long is the perimeter of the rectangle?

Answers

The perimeter would be 32 units

10 + 10 + 6 + 6 = 32

The required perimeter of the rectangle is 28 units.


What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

Here,

Let's denote the length of the rectangle as L and the width as W. We know that the diagonal of the rectangle has a length of 10 units, and we can use the Pythagorean theorem to relate the length, width, and diagonal,
L² + W² = diagonal²  [= 10² = 100]

We also know that one side of the rectangle has a length of 6 units, which we can assume is the width W. Therefore, we can solve for the length L,
L² + 6² = 100

L² = 100 - 36

L² = 64

L = 8

So the length of the rectangle is 8 units.

To find the perimeter of the rectangle, we can use the formula P = 2L + 2W, where L is the length and W is the width:

P = 2(8) + 2(6)

P = 16 + 12

P = 28

Therefore, the perimeter of the rectangle is 28 units.

Learn more about rectangles here:

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I WILL GIVE BRAINLIEST!! I really need help with this question.

Answers

Answer:

x = 70°, y = 110° , z = 85°

Step-by-step explanation:

∠ BEA and ∠ CDA are corresponding angles and congruent , then

x = 70°

x and y are adjacent angles and sum to 180°

x + y = 180°

70° + y = 180° ( subtract 70° from both sides )

y = 110°

∠ ABE and ∠ ACD are corresponding angles and congruent , then

z = 85°

Which value of x makes the equation 0.75(x + 20) = 2 + 0.5(x - 2) true?

Answers

Answer:

x = -56

Step-by-step explanation:

0.75(x + 20) = 2 + 0.5(x - 2)

0.75x + 15 = 2 + 0.5x - 1

0.25x = -14

x = -14/0.25

x = -56

Step 1: Simplify both sides of the equation.

0.75 (x + 20) = 2 + 0.5 (x − 2)
(0.75)(x)+(0.75)(20) = 2+(0.5) (x) + (0.5)(−2)
(Distribute)

0.75x + 15 = 2 + 0.5x + −1
0.75x + 15 = (0.5x) + (2 + -1)

(Combine Like Terms)
0.75x + 15 = 0.5x + 1

Step 2: Subtract 0.5x from both sides.
0.75x + 15 − 0.5x = 0.5x + 1 − 0.5x
0.25x + 15 = 1

Step 3: Subtract 15 from both sides.
0.25x + 15 − 15 = 1 − 15
0.25x = −14

Step 4: Divide both sides by 0.25.
0.25x/0.25 = −14/0.25x

x = -56

x-4 greater than or equal to 12 and x/12 <2 graph the solution on a number line ​

Answers

Answer:

Step-by-step explanation:

x-4>=12 ====>   x>=12+4 ======>   x>=16

x/12<2 ====> x<12(2) ====> x<24

what is the sum of the following equation? 8/10+60/10=

Answers

Answer:

as a mixed number it's 6 4/5

Answer:

6.8

[tex]6\frac{4}{5}[/tex]

Step-by-step explanation:

If there were 175 students in 5 buses, how many were in 1 bus?

Answers

Answer:

hi

Step-by-step explanation:

we must divide 175 to 5 then it is equal to 35

35 students in 1 bus

have a nice day

Answer:

35 students

Step-by-step explanation

Your equastion is 175 divided by 5 which equels 35.

A regular polygon has

Answers

Answer:

angles that are all equal and sides that all have the same length

Step-by-step explanation:

Answer:

A polygon is any shape with at least three straight sides,

and angles. It can only have straight sides and has to be closed.

Step-by-step explanation:

A polygon is any shape with at least three straight sides,

and angles. It can only have straight sides and has to be closed.

Please help...My answer is close but not close enough..

No links :)

Answers

Answer:

76

Step-by-step explanation:

(5x3)+(5x3)=30

15-6=9

5x9=45

45+30=75

Since 76 is the closest to 75 it's 76

mel randomly selects a coin 150 times of which she selects a dime 30 times

Answers

Answer:

Random numbers for experimental probability. This means that if we roll a die 60 times we can expect each of the six faces to come up.

hope this helps

have a good day :)

Step-by-step explanation:

Need help please urgent. Correct answers only no links.

Answers

Answer:

the exact answer is 314.159265359

Step-by-step explanation:

but it simplifies to 314.16

20 points!!! Permutations and combinations question.

Answers

Answer:

7,9,10

hope it helps

have a good night

Can I get help with this please?

Answers

First equation:
5(x+1)=20 —— distribute the 5 to the x and 1
5x+5=20 ——- subtract 5 from 20
5x=15 ———— divide by 5 from both sides
X=3 ————— answer

Second equation:
5x+1=20——— subtract 1 from 20
5x=19 ———— divide by 5 from both sides
X=19/5———— answer in fraction form
X=3.8————- answer in decimal form

One of the tallest living trees today is the Mendocino Tree found at
Montgomery Woods State Park, California. Its height is about 11,200
centimeters. What is this height in scientific notation?​

Answers

Answer:

the height in scientific notation is 1.12 x 10^4 :)

Please please please help me

Answers

the correct answer is 17 what i did was plug in 17 where ever you see x so x2 would be 17x2 an then plus the 5 gives u 39 3x 17x3=51 51+10=61 now add the totals 61 plus 39 gives u 100

Answer:

D. 17

Step-by-step explanation:

1.  Set up an equation  (2x + 5) + (3x + 10) = 100

2.    2x + 3x= 5x   and  5 + 10 = 15

3. The equation simplified  5x + 15 = 100

4. Move the 15 to the other side of the equation.   5x = 100 - 15

5.    5x = 85

6. Finally, divide   85/5

7. Our final answer is 17.

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