Brahmagupta’s solution to a quadratic equation of the form ax2 bx = c involved only one solution. which solution would he have found for the equation 3x2 4x = 6?

Answers

Answer 1

The value of the quadratic equation x has a value of 0.8968 and a negative value of 2.23.

What is a factorization, and how does it work?

It is a method for dividing a polynomial into parts, each of which will be multiplied. At this time, the polynomial's value will be zero.

The equation for the expression is given below.

3x² + 4x = 6

3x² + 4x - 6 = 0

we know that the formula

[tex]\rm x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Then we have

[tex]x = \dfrac{-4 \pm \sqrt{4^2-4*4*(-6)}}{2*3}\\\\x = \dfrac{-4 \pm \sqrt{112}}{6}\\\\x = 0.8968, \ -2.23[/tex]

More about the factorization link is given below.

https://brainly.com/question/6810544


Related Questions

Please help me with this math problem!! Will give brainliest! :)

Answers

Answer:

I believe it is 6 but I'm not sure

Step-by-step explanation:

Sorry I am unsure

Step-by-step explanation:

the function for x≥—1 is x²—3

so f(3) = 3²—3=9—3=6

please help i need help

Answers

Answer:  

[tex]\mathrm{Slope = \dfrac{1}{2}}[/tex]

Step-by-step explanation:

To find the slope of a graph, we use the formula below:

[tex]\mathrm{m =\dfrac{y\x_{2}-y\x_{1}}{x\y_{2}-x\y_{1}}}[/tex]

m = slope

(x1, y1) = coordinates of first point in the line

(x2, y2) = coordinates of second point in the line

Step 1: Find any two points on the line

Lets choose: (0, 3) and (2, 4)

Step 2: Put these points into the slope formula

[tex]\mathrm{m =\dfrac{y\x_{2}-y\x_{1}}{x\y_{2}-x\y_{1}}}[/tex]

Step 3: Substitute points into formula

[tex]\mathrm{m =\dfrac{4-3}{2-0}}[/tex]

Step 4: Subtract 3 from 4 and 0 from 2

[tex]\mathrm{m =\dfrac{1}{2}}[/tex]

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

Another way you could easily do this is:

Step 1:  Find two ponts on the line

For this problem, let's use (0, 3) and (2, 4)

Step 2: Then from the first point, how much do you need to go up and to the left or right to get to the second point

For this problem, we start on the on the point (0, 4) and go up by 1 and then to the right by 2

Step 3: Then you do rise over run to get the slope

The slope is rise over run:

Rise = 1

Run = 2

So, the slope is 1/2

________________________________________________________[tex]\mathrm{Answer:\dfrac{1}{2}}[/tex]                                                                                                                     ----------------------------------------------------------------------------------------------------------    

A cylinder has a height of $10$ and a radius of $3.$ Determine the total surface area, including the two ends, of the cylinder.

Answers

Check the picture below.

[tex]\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=10 \end{cases}\implies \begin{array}{llll} SA=2\pi (3)(10+3) \\\\\\ SA=6\pi (13)\implies SA=78\pi \\\\\\ SA\approx 245.04 \end{array}[/tex]

Answer:

[tex]78\, \pi[/tex].

Step-by-step explanation:

A cylinder of height [tex]h[/tex] and radius [tex]r[/tex] could be unrolled into:

two identical circles, one for the top and one for the bottom, andone rectangle, for the side.

The radius of each circle is the same as the radius of the cylinder, [tex]r[/tex].

The height of the rectangle is the same as the height of the cylinder, [tex]h[/tex].

The width of this rectangle would be [tex](2\, \pi\, r)[/tex], same as the circumferences of the two circles. The reason is that when this rectangle is rolled to build the cylinder, the top and bottom edges of the rectangle would wrap around the circumference of the two circles.

The area of each circle would be [tex]\pi\, r^{2}[/tex]. Note that there are two such circles, one at the top of the cylinder and one at the bottom.

With a height of [tex]h[/tex] and a width of [tex](2\, \pi\, r)[/tex], the area of the rectangle on the side would be [tex](2\, \pi\, r)\, h[/tex]. Add these areas up to find the total surface area of this cylinder:

[tex]\begin{aligned}& \text{(Surface Area of the Cylinder)} \\ =\; & (\text{Surface area of circle on the top}) \\ & + (\text{Surface area of circle at the bottom}) \\ & + (\text{Surface area of rectangle on the side}) \\ =\; & \pi\, r^{2} + \pi\, r^{2} + (2\, \pi\, r)\, h \\ =\; & 2\, \pi\, r^{2} + (2\, \pi\, r)\, h \end{aligned}[/tex].

For the cylinder in this question, [tex]h = 10[/tex] whereas [tex]r = 3[/tex]. The surface area of this cylinder would be:

[tex]\begin{aligned}& 2\, \pi\, r^{2} + (2\, \pi\, r) \, h \\ =\; & 2 \,\pi \times 3^{2} + (2\, \pi\times 3) \times 10 \\ =\; & 78\, \pi\end{aligned}[/tex].

nina ran 6 miles in 49.2 minutes. if she keeps the same pace, how long will it take her to run 13 miles?

Answers

Answer:

106.6 minutes

Step-by-step explanation:

49.2/6 = 8.2

8.2x13 = 106.6

Please help me with this one to (PLEASE NO LINKS)

Yvette spins the following spinner 35 times.

A spinner with 5 equal sections labeled 1 through 5.

How many times should she expect it to land on 4?
Enter your answer as a number, like this: 42

Answers

Answer:
7

Step-by-step explanation:

because if you spinned it , it has a 1/5 chance, if we divide 35 by 5 we can see its 7 meaning she could exect a average of 7 spins.

Find the lateral area of this cone.
Leave your answer in terms of a.
3 cm
+ 4cm
LA = [ ? ]7 cm2
=
T
Hint: Lateral Area of a Cone = tre
Where e = slant height

Answers

Step-by-step explanation:

For Slant Height (l)

(l)^2=(3)^2+(4)^2

Using Pythagoras Theroem,

(l)^2=9+16

(l)^2=25

l=5cm

For lateral surface area (pi*r*l)

pi*4*5

20pi cm^2

MARK ME AS BRAINLIST

The lateral area of the cone in terms of π, given that the cone has a radius of 4 cm is 20π cm²

How to determine the lateral area of the cone?

First, we shall obtain the slant height of the cone. This is shown below:

Height (h) = 3 cmRadius (r) = 4 cmSlant height (L) = ?

L² = r² + h²

L² = 4² + 3²

L² = 16 + 9

L² = 25

Take the square root of both side

L = √25

= 5 cm

Finally, we shall obtain the lateral area of the cone. This is shown below:

Radius (r) = 4 cmSlant height (L) = 5 cmLateral area (LA) =?

LA = πrL

= π × 4 × 5

= 20π cm²

Thus, the lateral area of the cone is 20π cm²

Learn more about lateral area of cone:

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What other situations can you think of where you gain or lose an amount that you could use negative
numbers to talk about? What would positive and negative changes mean in those situations?

Answers

Answer:

it would mean that the anwser is positive

Step-by-step explanation:

10x -3 = -33

please help lol

Answers

Answer:

-3

Step-by-step explanation:

10x=-33+3 isolate the variable

10x=-30 divide by 10

X=-3

Answer:

x=-3

Solution:First, add 3 to both sides:10x-3=-3310x=-33+310x=-30Now, divide both sides by 10:x=-3The value of x=-3

Hope it helps.

Do comment if you have any query.

The distance between San Francisco and Los Angeles is about 387 miles. If Takara leaves San Francisco and travels 6 hours at an average speed of 55 miles per hour, will she reach Los Angeles? How far will she travel?

Answers

She would only have travelled 330 miles since she’s travelling 55 miles per hour.

55 miles x 6 hours
= 330 miles in 6 hours

So she would not have reached Los Angeles yet, she needs to travel 57 more miles to reach there.

A population of 75 foxes in a wildlife preserve quadruples in size every 15 yr. the function is y = 75 x 4^x, where x is the number of 15-yr periods, models the population growth. How many foxes will there be after 45 yr? Help asap

Answers

Answer:

4800

Step-by-step explanation:

→ Find how 15yr periods there are in 45 years

45 ÷ 15 = 3

→ Substitute this value as x into the equation

75 × 4³ = 4800

what’s the slope of those? please help

Answers

Answer:

8 is 5/2, 9 is an undefined slope

Step-by-step explanation:

8 rise 5 and runs 2 and 9 is a vertical line so there is no slope meaning its undefined.

Which expression represents the volume of the prism? x(x – 2) cubic units x(x 1) cubic units x2(x – 2) cubic units x2(x 1) cubic units

Answers

The expression that represents the volume of the prism is x²(x-2).

Given side of the base =[tex]x[/tex]

So, the area of the base =[tex]x^{2}[/tex]

Given the height of the prism = [tex]x-2[/tex]

What is the volume of the prism?

The volume of the prism with base area A and height h is Ah.

So, the volume of the given prism with the base area [tex]x^{2}[/tex] and height [tex](x-2)[/tex] will be:

V= [tex]x^{2} *(x-2)[/tex]

V= [tex]x^{2} (x-2)[/tex]

Hence, the expression that represents the volume of the prism is x²(x-2).

To get more about prisms visit:

https://brainly.com/question/23963432

Answer:

its C trust me

Step-by-step explanation:

Nevaeh has 840 pictures saved on her laptop. Of these
pictures, 20% are nature, 45% are fashion, and the rest
are food. How many pictures in Nevaeh’s computer
are food?

Answers

Answer:

40%

Step-by-step explanation:

20+45=60

100-60=40

I WILL GIVE BRAINLEIST!!!
Jocelyn participates in three track events: the 200-meter sprint, the 400-meter hurdles, and the 800-meter run. She calculated the mean absolute deviation of her race times throughout the season in each event.

200-meter sprint: mean absolute deviation of 2.05

400-meter hurdles: mean absolute deviation of 2.82

800-meter run: mean absolute deviation of 1.9

In which event were her times the most spread out?


A. 200 meter sprint

B. 800 meter run

C. 400 meter hurdles

Answers

Answer:

ill say C too

Step-by-step explanation:

Answer:The answer is 400

I hope this helps have a great day!

Step-by-step explanation:

Mary made $144 for 8 hours of work.
At the same rate, how much would she make for 12 hours of work?

Answers

Answer:

$216

Step-by-step explanation:

Find how much Mary made per hour by dividing 144 by 8 to get 18. Then, multiply that number by 12 which $216

Answer:

$216

Step-by-step explanation:

First, find out what Mary makes every hour. To find this, we divide 144 by 8.

144/8 = $18

This means that Mary makes $18 per hour.

Now, we find out how much Mary would make if she worked for 12 hours:

x = # of hours worked

18n

18(12)

$216

Therefore, Mary would make $216 in 12 hours.

Hope this helps!

What is the missing statement in the proof? ∠BAC ≅ ∠DEC ∠ACD ≅ ∠ECB ∠ACB ≅ ∠ECD ∠BCA ≅ ∠DCA

Answers

It is Given that two lines segment, AC and BD bisect each other at C.

The missing statement is ∠ACB ≅ ∠ECD

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Given two lines segment, AC and BD bisect each other at C.

We have to prove that ΔACB ≅ ΔECD

In triangle ACB and ECD

AC=CE    (Given)

BC=CD   (Given)

so, as seen in options the angle ∠ACB ≅ ∠ECD due to vertically opposite angles

hence, the missing statement is ∠ACB ≅ ∠ECD

Learn more about triangles;

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Answer:

C.∠ACB ≅ ∠ECD

Step-by-step explanation:

x is directly proportional to the square of y.
.
y is directly proportional to the cube of z.
z= 2 when x = 32
Find a formula for r in terms of z.

Answers

The direct variation of x to y implies that x and y increases at the same time, and the formula of x in terms of z is [tex]x = 4z^3[/tex]

How to determine the formula for x?

The direct proportion of x to y is represented as:

[tex]x\ \alpha\ y^2[/tex]

As an equation, we have:

[tex]x\ =\ ky^2[/tex]

The direct proportion of y to z is represented as:

[tex]y\ \alpha\ z^3[/tex]

As an equation, we have:

[tex]y\ =\ kz^3[/tex]

Square both sides

[tex]y^2 = k^2z^3[/tex]

Substitute [tex]y^2 = k^2z^3[/tex] in [tex]x\ =\ ky^2[/tex]

[tex]x =k^3z^3[/tex]

When z = 2, x = 32.

So, we have:

[tex]32 =k^3 * 2^3[/tex]

Evaluate

[tex]32 =k^3 * 8[/tex]

Divide both sides by 8

[tex]k^3 =4[/tex]

Substitute [tex]k^3 =4[/tex] in [tex]x =k^3z^3[/tex]

[tex]x = 4z^3[/tex]

Hence, the formula of x in terms of z is [tex]x = 4z^3[/tex]

Read more about direct variation at:

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Select the correct answer.
What is the solution to this system of equations?
x-2y = 15
2x+4y=-18
OA. x = 1, y=-6
OB. X= 1, y=-7
ОС. Х 3, y= -6
OD. x= 3, y=-7
Reset
Next

Answers

Answer:

O C. x = 3, y = -6

Step-by-step explanation:

x - 2y = 152x + 4y = -18

Take Equation 1 and equate to x.

x - 2y = 15x = 2y + 15

Now, substitute in Equation 2.

2x + 4y = -182(2y + 15) + 4y = -184y + 30 + 4y = -188y = -48y = -6x = 15 + 2(-6)x = 3Option C

Answer:

C)  x = 3, y = -6

Step-by-step explanation:

[tex]\textsf{Equation 1}:x-2y=15[/tex]

[tex]\textsf{Equation 2}:2x+4y=-18[/tex]

Rewrite Equation 1 to make x the subject:

[tex]\implies x=15+2y[/tex]

Substitute into Equation 2 and solve for y:

[tex]\implies 2(15+2y)+4y=-18[/tex]

[tex]\implies 30+4y+4y=-18[/tex]

[tex]\implies 8y=-48[/tex]

[tex]\implies y=-6[/tex]

Substitute found value of y into Equation 1 and solve for x:

[tex]\implies x-2(-6)=15[/tex]

[tex]\implies x+12=15[/tex]

[tex]\implies x=3[/tex]

Therefore, the solution to the system of equations is:

x = 3, y = -6

PLEASE HELP!!!! HURRY​

Answers

Slope = (y2-y1) / (x2-x1)

So,
(2- (-3)) / (7 - 1)

5/6

Answer:

the sum of 6 and a number g

if i got paid 10 dollars an hours and wrk for 7 hours a day how much would i make a week including mon-fri. but got in a car crash and died how much would my bill be to pay.

Answers

Hii.

So first, lets caculate how much you get in one day

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

In one day..

10x7= 70$

So, in one day you make 70$.

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

Since we make 70$ in one day, we need to find out if we worked all week.

70x7 = 490$

So in one week,we make $490.

~NatLikesAnime~

Section 1
Variability
Which of the following survey question yields data with
Variability? Write Y for yes or N for no.
1) How many bananas did Joe eat yesterday?
2) What is the population of Austin, Texas?
3) What kind of sandwiches does your class like?
4) What is the name of your teacher?
5) How much do televisions cost?
Unlock section 1 by finding the code.
Instructions: Write the answers in order for #1-5. Write Y for yes and
N for no. Use all capitals and no spaces. For example: YYYNN
TA

Answers

Answer:

1) Y

2) Y

3) N

4) N

5) N

steps

1) How many bananas did Joe eat yesterday?

The word "many" tells you that its talking about variability.

2) What is the population of Austin, Texas?

The phrase "What is the population..." tells you that its talking about variability.

3) What kind of sandwiches does your class like?

Doesn't talk about variability.

4) What is the name of your teacher?

Doesn't talk about variability.

5) How much do televisions cost?

Doesn't talk about variability.

(YYNNN)

They got to an altitude of 500 feet. The balloon is tethered to the ground by a cable and the angle between the ground and the cable is 53º. Find the length of the cable

Answers

Answer:

  about 626.1 ft

Step-by-step explanation:

The geometry of the problem can be modeled by a right triangle. The given angle is opposite the given side, and we are asked to find the hypotenuse. The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

__

Solving for the hypotenuse, we get ...

  Hypotenuse = Opposite/Sin

  cable length = (balloon height)/sin(53°) = (500 ft)/0.79864

  cable length ≈ 626.1 ft

Miguel cabrera has had 369 at bats, and he has 127 hits and 21 home runs. (note: the home runs are included in the hits data.) if he is challenged to a batting battle, what is the expected score of each at bat if he earns 1 point for each hit that is not a home run and 5 points for each home run?

Answers

The expected score of each at bat if he earns 1 point for each hit that is not a home run and 5 points for each home run is 0.57

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

Number of bats = 369

Number of hits = 127

Number of home runs = 21

The probability of a hit:

[tex]=\frac{127}{369}[/tex]   (includes home run)

The probability of home run:

[tex]=\frac{21}{369}[/tex]

The probability of hit run(without home run)

[tex]=\frac{127}{369}-\frac{21}{369}[/tex]

[tex]=\frac{106}{369}[/tex]

The probability of no hit:

[tex]=\frac{369-127}{369}[/tex]

[tex]=\frac{242}{369}[/tex]

For home run, the score will be 5 points.

If not, a home run score will be 1 points.

If Miguel does not get hit, score will be zero point.

Expected value of Miguel hit at each bat is (without home run):

For 5 hit:

[tex]=\frac{106}{369}[/tex]

For 21 home runs, the points will be 21×5 = 105  (5 points for each home run)

The expected value for this:

[tex]\frac{105}{369}[/tex]

Adding both expected hits, we get:

[tex]=\frac{106}{369}+\frac{105}{369}[/tex]

[tex]=\frac{211}{369}[/tex]

= 0.571 ≈ 0.57

Thus, the expected score of each at bat if he earns 1 point for each hit that is not a home run and 5 points for each home run is 0.57

Learn more about the probability here:

brainly.com/question/11234923

Answer:

0.57

Step-by-step explanation:

If log_b x = 2, log_b y = 5, log_b z = 4
What's log_b (x · y)
What's log_b ( xy^2/z^2)

Answers

[tex]\text{Given that,}\\\\\log_b x =2,~~ \log_b y=5,~~ \log_b z = 4\\\\\\\log_b(x\cdot y)\\\\=\log_b x + \log_b y~~~~~~~~~~~~~~~;[\log_b(MN) = \log_b M+ \log_b N ] \\\\=2+5\\\\=7\\\\\\\log_b\left( \dfrac{xy^2}{z^2}\right)\\\\=\log_b (xy^2) - \log_b z^2~~~~~~~~~~;\left[\log_b\left(\dfrac MN \right) = \log_b M - \log_b N \right] \\\\=\log_b x +\log_b y^2 - 2\log_b z\\\\=\log_b x + 2 \log_b y - 2 \log_b z\\\\=2+2 \cdot5 - 2 \cdot 4\\\\=2+10-8\\\\=10-6\\\\=4[/tex]

The function h(x) = x2 +3 and g(x) = x2 – 6. If g(x) = h(x) + k, what is the value of k?

Answers

Answer:

g(x) = x² - 6

h(x) = x² + 3

   g(x) = h(x) + k

 x² - 6 = (x² + 3) + k

 x² - 6 = x² + 3 + k

- x²       - x²

     -6 = 3 + k

    - 3  - 3

     -9 = k

The value of k is -9.

Step-by-step explanation:

MathPapa.com

which is a proportional relationship

Answers

Answer:

Proportional relationships are relationships between two variables where their ratios are equivalent.

So if one of your answers have equivalent ratios, that is your answer

Find the perimeter of the isosceles triangle with points A (0,0); B (3,3); and C (6,0)

Answers

Answer:

3+3+6=12

Step-by-step explanation:

the sides are both3 and bottomed is 6

A town's yearly snowfall in inches over a 10-year period is recorded in this table.

What is the mean of the snowfall amounts?

Answers

18.8
hope this helps :)

Answer:

18.9

Step-by-step explanation:

3x^2=4x+3 Solve using quadratic formula

Answers

Answer:

x = 2-√13/3

Step-by-step explanation:

How many possible outcomes exist when two fair coins are flipped and a three-section spinner is spun? a penny.a penny. a spinner with 3 equal sections labeled 1 through 3. 3 6 7 12

Answers

Answer:

12

Step-by-step explanation:

Other Questions
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