The quadratic formula gives which roots for the equation 2x^2 + x - 6 = 0?

The Quadratic Formula Gives Which Roots For The Equation 2x^2 + X - 6 = 0?

Answers

Answer 1

Answer:

The roots are [tex]x = (\frac{3}{2}, -2)[/tex], which is given by option C.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

In this question, we have that:

[tex]2x^2 + x - 6 = 0[/tex]

Which is a quadratic equation with [tex]a = 2, b = 1, c = -6[/tex]. So

[tex]\Delta = 1^{2} - 4*2(-6) = 1 + 48 = 49[/tex]

[tex]x_{1} = \frac{-1 + \sqrt{49}}{2*2} = \frac{6}{4} = \frac{3}{2}[/tex]

[tex]x_{2} = \frac{-1 - \sqrt{49}}{2*2} = \frac{-8}{4} = -2[/tex]

So the roots are [tex]x = (\frac{3}{2}, -2)[/tex], which is given by option C.


Related Questions

Branliest to correct answer explain how you got your answer please

Answers

10.7%

possibility to get a blue marker : 4/15

possibility to get a green marker: 6/15

possibility to get a blue then a green: 24/225

= 10.666666%
= 10.7%

angle measure of 36 and 57?

Answers

Answer: 7767788877787887+-77-7

A card is drawn from a deck of 52 cards. Find the probability of drawing a black card.

14) Find the probability of drawing a red card.

15) Find the probability of drawing a red or black.

16) Find the probability of drawing an ace.

17) Find the probability of drawing either a jack or queen or king.

Answers

Answer: See below

Step-by-step explanation:

14) 26/52 of the cards are red, 1/2

15) All of the cards are red or black, 1/1

16) 4/52 of the cards are aces, 1/13

17) 12/52 of the cards are J/Q/K, 3/13

Convert the fractions to whatever unit is needed.

Answer:

14) 26/52

15) 52/52

16) 4/52

17) 24/52

Step-by-step explanation:

please explain why. In a competition of 50 professional ballroom dancers, 22 compete in the fox-trot competition, 18 compete in the tango competition, and 6 compete in both the fox-trot and tango competitions. How many dancers compete in the fox-trot or tango competitions?

Answers

Answer: 34 of them do

Step-by-step explanation: It says that 22 of them compete in the fox-trot and then it says 18 compete in the tango and then at the end it says that 6 compete in both. Based on what that said I can confirm that it's 36 because  the question they want us to answer is only the ones who do fox-trot or tango not both

Hope this helps :)

Answer:

22+18-6=34

Step-by-step explanation:

Let's call F the set of dancers who dance fox-trot (not necessarily just that, they may also dance something else, what's important is that, amongst other things, they also dance fox-trot), and T the set of dancers who dance tango.

We know that F has 22 elements, T has 18, and the intersection of sets F and T (e. g. those who dance both tango and fox trot) has 6 ones.

Now, let's take a further look at how those sets are made up.

Let's take set F, for example. In it, there is some number of dancers who dance only fox trot, and some others who dance both fox trot and tango.

Similarly, set T is made up of those who dance only tango and those who dance both fix trot and tango.

Therefore, if we were to add those sets together, we would get the number of those who only dance tango, plus the number of those who only dance fox trot, plus two times the number of those who dance both.

We can make up for that, and get the desired result, by subtracting the union of sets F and T from their sum.

Hope this was a clear explanation :)

If f varies inversely as g, find f when g= -6.
F= 4 when g= -6
F=

Answers

Step-by-step explanation:

f=g

f=1/g

4=1/-6

=-24

find f

f=1/-6

I GIVE BRAINLIEST! LOOK AT THE IMAGE BELOW.

Answers

Answer: 8

Area of a triangle=(1/2)bh
16=(1/2)4x
16=2x
x=8

11
5. What is the volume of a cuboid that is 8cm long, 4cm
wide and 3cm high.​

Answers

Answer:

Volume = 96 cm³

Step-by-step explanation:

Length (L) = 8cm

Breadth (B) = 4cm

Height (H) = 3cm

........................................

Volume = L × B × H

= 8 × 4 × 3

= 96cm³

Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern.
-3, 9, -27, 81

Answers

Answer:

-243, 729

Step-by-step explanation:

pattern is to multiply by -3 to get next number

.11 A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01, and 1.03 centimeters. Find a 99% confidence interval for the mean diameter of pieces from this machine, assuming an approximately normal distribution.

Answers

Answer:

The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.

Step-by-step explanation:

Sample mean:

Sum of all values divided by the number of values. So

[tex]M = \frac{1.01+0.97+1.03+1.04+0.99+0.98+0.99+1.01+1.03}{9} = 1[/tex]

Sample standard deviation:

Square root of the sum of the differences between each value and the mean, divided by the 1 less than the sample size. So

[tex]s = \sqrt{\frac{(1.01-1)^2+(0.97-1)^2+(1.03-1)^2+(1.04-1)^2+(0.99-1)^2+(0.98-1)^2+(0.99-1)^2+(1.01-1)^2+(1.03-1)^2}{8}} = 0.0657[/tex]

Confidence interval:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 9 - 1 = 8

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.355

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 3.355\frac{0.0657}{\sqrt{9}} = 0.07[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1 - 0.07 = 0.93

The upper end of the interval is the sample mean added to M. So it is 1 + 0.07 = 1.07

The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.

Divide. (3x⁴ - 3x³ - 6x -10) ÷ (x - 2)

Please help I can't find a proper answer​

Answers

i think it’s the last one

Question below in photo!! Please answer! Will mark BRAINLIEST! ⬇⬇⬇⬇⬇⬇⬇
Answer (chose the right one):
-100°
-90°
-50°
-30°

Answers

Answer:

50 degrees

Step-by-step explanation:

It is opposite of angle CGD so therefore it is congruent to CGD which makes it 50 degrees

Please help ill mark brainliest if correct
I attached a photo of the problem

Answers

Answer:

12.8

Step-by-step explanation:

imagine a right triangle in the middle,

base: 16 ÷ 2 = 8 cm, height: 10 cm, side: s

10² + 8² = s²

=> s = √(10² + 8²)

=> s = √(100 + 64)

=> s = √164

=> s ≈ 12.8


Helppp pleaseeeeeeweeeeeeee

Answers

Answer:

55°

Step-by-step explanation:

The angle is part of a 90° angle, so you do 90°-35° to get 55°.

Give branliest please. :)

Answer:

90 degrees - 35 degrees = x degrees, this will give you 55 degrees

Please please help me please please help please

Answers

no it is not!!!!!!!!!!!!!!!!!!!!

Please help this is important

Answers

Answer:

x = 18.8

Step-by-step explanation:

(6x + 19) is in linear pair vertically so,

it's value will be 180 - 6x + 19. ......( angles in linear pair are supplementary)

now, 180 - 6x + 19 is corresponding with (4x + 11)

therefore, 4x + 11 = 180 - 6x + 19

4x + 6x = 180 + 19 - 11

10 x. = 180 + 8

10 x. = 188

x = 188/10

x. = 18.8

Cross - check:-

4x + 11 = 180 - 6x + 19

4 * 18.8 + 11 = 180 - ( 6 * 18.8 +19)

86.2. = 86.2

therefore, x = 18.8 is the correct answer

May someone help me pls. I’m not to good at geometry

Answers

Answer:it’s A

Step-by-step explanation: it is tangent because it is adjacent side and opposite. the equation is 50°tan90

Answer:

A: 50°tan 90

Step-by-step explanation:

It is tangent because it is adjacent side and opposite the equation is 50°tan 90

2. You have 15 nickels and dimes. The coins are worth $1.20. How many of each coin do you have?

Answers

Answer:

9 dimes and 6 nickles

Step-by-step explanation:

WILL GIVE BRAINLIEST!!
If N is the plane of symmetry, click on the graphic to find the figure that is symmetrical with respect to plane N.

Answers

Answer:

thrid one looks right

Step-by-step explanation:

Answer:

The 4th cone

Step-by-step explanation:

Hello, the answer to your question is the 4th cone; the cone with its bottom half facing skyward.  If you are familiar with plane symmetry, this question is fairly simple.  Since the topmost cone has its bottom half facing downward, it would only be logical to choose the cone that forms mirror halves (superimpose) when paired.  

Hope this helps.

Just in case my explanation was too confusing, I'll attach the image of the answer here.  

Feel free to give me brainliest.

In a set of three lines, a pair of parallel lines is intersected by a transversal. The intersection forms eight special angles. Two of the special angles, A and B, are corresponding angles.

For the set of parallel lines intersected by a transversal, A=4x and B=-5(x-18).

Part A: Write an equation to represent the corresponding relationship betweenA andB.
Part B: Use the equation to find the measures of A and B.

Answers

Answer:

Part A: 4x = -5(x-18)

Part B: A and B both = 40 degrees

Step-by-step explanation:

Ok, corresponding angles are in the same position on the two parallel lines cut by the transversal. And they are equal in measure. So, upper right = upper right.

So A = B

4x = -5(x -18)

4x = -5x + 90

9x = 90

x = 10

Angle A = 4x = 40 degrees, which means angle B is also 40, but let's show the work:

Angle B = -5(x - 18) = -50 + 90 = 40

which one is a polynomial ? it’s not B!!

Answers

A probably i dont know

A stream is flowing down a slope into a larger river. The elevation of the head of the stream is 2,200 feet above sea level. The elevation of the mouth of the stream is 1,000 feet. The horizontal distance along the stream between those two points is 63,360 feet. What is the gradient of the slope the stream is flowing over in ft/mi

Answers

Answer:

[tex]100\ \text{ft/mi}[/tex]

Step-by-step explanation:

Elevation of the head of the stream is 2,200 feet above sea level

Elevation of the mouth of the stream is 1,000 feet

Rise = [tex]2200-1000=1200\ \text{ft}[/tex]

Distance between the two points = [tex]63360\ \text{ft}=\dfrac{63360}{5280}=12\ \text{mi}[/tex] = Run

Gradient is given by

[tex]\dfrac{\text{Rise}}{\text{Run}}=\dfrac{1200}{12}\\ =100\ \text{ft/mi}[/tex]

The gradient of the slope the stream is flowing over is [tex]100\ \text{ft/mi}[/tex].

answer the question!!!!!!!!!!!!!!

Answers

Answer:

Im not sure im sorry if i got it wrong but my guess is 1234 :/

Step-by-step explanation:

Answer:

4132

Step-by-step explanation:

1).4,132 (four thousand one hundred thirty-two) is an even four-digits composite number

2). 4 + 1 + 3 + 2 = 10

3). each number is greater than 0

4). 4+1= 5 3+2= 5

5). 4 is the gretes number in 4132

Which graph represents y as a function of x?

Answers

Answer:

D

Step-by-step explanation:

Has only one point on the x- axis.

Answer ASAP for BRAINLIEST (NO LINKS OR I REPORT)

Answers

Answer:

radius = 3 feet

Step-by-step explanation:

V = 1/3πr²h

15π = 1/3πr²·5

you can divide each side by 5π to get:

3 = r²/3

r² = 9

r = [tex]\sqrt{9}[/tex] which is 3

Answer:

3

Step-by-step explanation:

((r^2)h[tex]\pi[/tex] )/3=volume of a cone

[tex]15\pi =((r^2)h\pi )/3[/tex]

they say that the height is 5 so insert 5 for h

[tex]15\pi =\frac{r^2(5)\pi } {3}[/tex]

solve for r

multiply both sides by 3

[tex]45\pi =r^25\pi[/tex]

divide both sides by 5

[tex]9\pi =r^2\pi[/tex]

[tex]r=3[/tex]

Hope that helps :)

plzz help im in class RIGHT NOW

Answers

Answer:

i have no answer

Step-by-step explanation:

Answer:

You're a really fungi

Step-by-step explanation:

PLS HELP FAST NO LINKS
Use the trapezoid to answer the question.

Choose all the attributes that describe the trapezoid.

A. It has four acute angles,
B. It has two obtuse angles.
C. It has no perpendicular sides.
D. It has one pair of parallel sides.
E. It has two pairs of parallel sides.

Answers

Answer:

D and B would be your answer

Dwayne plays five games of rock-paper-scissors. In order to seem unpredictable, he never chooses the same move (rock, paper, or scissors) twice in a row. How many different sequences of moves can Dwayne go through?

Answers

Answer:

48

Step-by-step explanation:

First, in this problem, you would assume that there are five numbers to multiply since Dwayne played 5 games.  

 

                                                                                       

 

In the first blank, he could choose any move, and there are three, rock, paper, and scissors. In the first blank, you would put 3. Then, since you already picked one, you can't repeat it, so you would end up with 2 for the second blank. Continuing with the next blanks, the third, fourth, and fifth spaces would be 2 choices because you cannot have the one choice you chose previously. In the end, the blanks would look somewhat like this:

 

3    2    2    2    2

 

And you would multiply all the numbers.

 

3  x  2  x  2  x  2  x  2

                                                                  = 6 x 8

                                                                  = 48

vertex of y = x³ + x² - 4x - 4​

Answers

Answer:

(-2,0)

Step-by-step explanation:

What is the range of possible sizes for side 3.2 5.5 x?

Answers

Answer:

the range is :

10 , 74 , 78 , 102

3 , 4 , 4 , 5 , 17

1.2, 1.2 , 3.2 , 3.5 , 3.6 , 6.5 , 8.2 , 9.2

Step-by-step explanation:

jannie recieves 150 pocket money per month in the new year his mother decided to increase his pocket money in the ratio 6 is to 5 calculate jannies adjusted monthly pocket money ​

Answers

Answer:

Answer and steps are in picture.

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