What are the solutions to 3x^2+12x+6=0?

Answers

Answer 1

Answer: Please see the pic, I'd solved in it.

Answer 2

Answer: We use the quadratic formula

x = $\frac{-b +or- \sqrt{b^(2)-4ac } }{2a}$

3x² + 12x + 6 = 0
║ ║ ║
a=3 b=12 c=6

Plug it in:
$\frac{-12 +or- \sqrt{12 ^(2) -4(3)(6)} }{2(3)}$
$(-12+or- √(144-72) )/(6)$
$(-12+or- √(72) )/(6)$

Solutions:
sol.1= $(-12+ √(72) )/(6)$
= -0.585786
≈ -0.6

sol.2 = $(-12- √(72) )/(6)$
= -3.41421
≈ -3.4

Related Questions

Is the points (0,6) (3,3) (6,-1) on the same line
Question 1. In the below system, solve for y in the first equation. x + 3y = 6 2x − y = 10 one thirdx + 2 negative one thirdx + 6 −x + 2 negative one thirdx + 2 Question 2. What is the value of y in the solution to the following system of equations? 5x − 3y = −3 2x − 6y = −6 −1 0 1 2 Question 3. Solve 7x − 2y = −3 14x + y = 14 (4, five sevenths) (4, seven fifths) (five sevenths, 4) (seven fifths, 4) Question 4. Solve x + 3y = 9 3x − 3y = −13 (−1, ten thirds) (1, negative ten thirds) (−1, 3 over 10) (1, negative 3 over 10) Question 5. Use the substitution method to solve the following system of equations: 4x − y = 3 7x − 9y = −2 (1, 1) (6, −3) (6, 1) (1, −3) Question 6. Solve 5x − 6y = −38 3x + 4y = 0 (4, 3) (−4, 3) (4, −3) (−4, −3) Question 7. Solve 2x + 5y = −13 3x − 4y = −8 (4, 1) (−4, 1) (4, −1) (−4, −1)
What is 3.36 rounded to the nearest hundreth
What is the estimate of 93.19?
F(x)=2-3xEvaluate f(0) A. -3 B. 5 C. 2 D. - 1 Which ordered pair is the turning point of the graph of f(x)= |x-4|? A. (4,0) B. (-4,0) C. (0,4) D. (0, -4)

Which sequence of transformations carries ABCD onto HGFE

Answers

Answer:

The correct option is D.

Step-by-step explanation:

It is given that the after transformation figure ABCD onto HGFE. It means HGFE is image of ABCD after transformation.

From the figure it is noticed that A(2,-1) and H(-6,1).

Rotation of 90 degree clockwise about the origin followed by the reflection across the x-axis is expressed as

$(x,y)\rightarrow (y,-x)\rightarrow (y,x)$

Therefore the image of A(2,-1) is (-1,2), which are not the coordinates of H. Option A is incorrect.

Translation 3 unit up followed by the reflection across the y-axis is expressed as

$(x,y)\rightarrow (x,y+3)\rightarrow (-x,y+3)$

Therefore the image of A(2,-1) is (-2,2), which are not the coordinates of H. Option B is incorrect.

Reflection across the x-axis followed by rotation of 90 degree counterclockwise about the origin is expressed as

$(x,y)\rightarrow (x,-y)\rightarrow (y,x)$

Therefore the image of A(2,-1) is (-1,2), which are not the coordinates of H. Option C is incorrect.

Translation 8 unit left followed by reflection across the x-axis is expressed as

$(x,y)\rightarrow (x-8,y)\rightarrow (x-8,-y)$

Therefore the image of A(2,-1) is (-6,1), which are the coordinates of H. Option D is correct.

If you look closely at the options, the first 3 options will not produce an image that will be in Quadrant II with the vertices coinciding HGFE.
But if you look at the 4th option, translating the points 8 units to the left will produce an image in Quadrant III. Reflecting the image across the x-axis will produce triangle HGFE.

What is an equation of the line that passes through the point (-2, -3) and isparallel to the line 4x - y = 12

Answers

Answer: y = 4x + 5

Step-by-step explanation:

Find the slope of the second line.

4x - y = 12

-y = -4x + 12

y = 4x - 12

slope = 4

Therefore, the slope of the second line must also be 4.

Use point-slope form to write the equation.

y + 3 = 4(x + 2)

y = 4x + 5

Bret buys a dining table that costs $150 before tax. The sales tax is 8%. How much sales tax did he pay?

Answers

Bret paid $12 as sales tax.

What is a expression? What is a mathematical equation? What is Equation Modelling? What is denominator?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.

We have Bret buys a dining table that costs $150 before tax. The sales tax is 8%.

Assume that he paid $[x] as sales tax. Then, we can write -

[x] = 8% of 150

[x] = (8/100) x 150

[x] = 12

Therefore, Bret paid $12 as sales tax.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

Answer:

$12

Step-by-step explanation:

to find sales tax you multiply the cost by the percentage

you do 150 * 8%

thats also 150 * 0.08

150 * 0.08 is 12

so you pay $12 in tax

jim and holly are making gingerbread men. It takes them both 2 minutes to make 2 gingerbread shapes. At this rate, how many people are needed to make 400 gingerbread men in 400 minutes

Answers

The answer to your question is 400 men.
Hope it helps!

4c^2-8c-1=0 complete the square round to nearest hundredth

Answers

move constant to other side
add 1
4c^2-8c=1
divide by 4 to make leading coeficient 1
c^2-2c=1/4
take 1/2 of linear coeficient and square it
-2/2=-1, (-1)^2=1
add that to both sides
c^2-2c+1=1/4+1
factor perfect squaer and add
(c-1)^2=5/4
square root both sides
c-1=+/-(√5)/2
add 1
c=1+/-(√5)/2

c=2.12 or -0.12

Oil has a volume of 9000cm cubed and a density of 0.8g/ cm cubed. what is the mass of the oil?

Answers

Density = 0.8 g/cm³

Volume = 9000 cm³

D = m / V

0.8 = m / 9000

m = 0.8 x 9000

m = 7200 g

hope this helps!

Other Questions

Write an expression that represents the height of a tree that begins at 2 feet and increases by 4 feet per year. Let y represent the number of years. PLEASE HELP ME

6,15, 24,..Find the 50th term.

A pair of sneakers costs $46.99. You have a coupon for 15% off. What is the total cost of the sneakers after 5% sales tax is included?

If the perimeter of a square is 208 what ia the length of one side