Solve for x in the equation 3x2 - 18x+5=47.

Solve For X In The Equation 3x2 - 18x+5=47.

Answers

Answer 1

Answer:

[tex]x=3\pm\sqrt{23}[/tex]

Step-by-step explanation:

Complete the Square

[tex]3x^2-18x+5=47\\\\3x^2-18x-42=0\\\\x^2-6x-14=0\\\\x^2-6x-14+23=0+23\\\\x^2-6x+9=23\\\\(x-3)^2=23\\\\x-3=\pm\sqrt{23}\\\\x=3\pm\sqrt{23}[/tex]


Related Questions

A cylinder has a radius that is 3 meters. Its volume is 95 cubic meters. Find its height to the nearest tenth of a meter. Use 3.14 for pi/ℼ in your calculation. Show all work and steps.
100 POINTS TO ANYONE WHO ANSWERS THIS RIGHT

Answers

Answer:

11.8 m:

Step-by-step explanation:

Volume = pi×r²×h
95 = pi×1.6²×h
h = 95/(pi×1.6²)
h = 11.8122809326
h = 11.8 m (nearest tenth)

Answer:

11.8 m:

Step-by-step explanation:

Volume = pi×r²×h

95 = pi×1.6²×h

h = 95/(pi×1.6²)

h = 11.8122809326

h = 11.8 m (nearest tenth)

Pls help!!! AsAP!!!!!!!!!

Answers

Answer:

15cm

Step-by-step explanation:

gudluckkk answering

y
is directly proportional to
x
2
.
If
y
=
12
when
x
=
2
find
x
when
y
=
48

Answers

To solve this we first of all need to find the distances travelled by both Vaimiti and Jabril and then we will find their difference...

Let's start solving ~

:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:-:

Distance covered by Vaimiti ⤵️

[tex] \tt \leadsto \: Distance = Speed × Time[/tex]

Vaimiti's speed = 1.1 m/s

Time taken by her = 25 minutes = 25×60 = 1500 seconds

[tex] \sf \leadsto \: Distance = 1.1 \times 1500[/tex]

[tex] \boxed{ \rm\multimap \: Distance = 1650 \: m}[/tex]

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

Distance covered by Jabril ⤵️

[tex] \tt \leadsto \: Distance = Speed × Time[/tex]

Jabril's speed = 1.3 m/s

Time taken by her = 30 minutes = 30×60 = 1800 seconds

[tex] \sf \leadsto \: Distance = 1.3\times 1800[/tex]

[tex] \boxed{ \rm\multimap \: Distance = 2340 \: m}[/tex]

[tex]\rule{300pt}{3pt}[/tex]

Difference between distances travelled by them↯

Distance travelled by Vaimiti = 1650 m

Distance travelled by Jabril = 2340 m

[tex] \bf\nRightarrow \: Difference = 2340 - 1650[/tex]

[tex] \bf \nRightarrow \: Difference = 690 \: m[/tex]

➪ Therefore, The difference between distance travelled by them is 690 meter...~

John walked 9 5/8 miles at an average speed of 1 3/4 MPH. How long did it take John to walk this distance?

Answers

Answer:

5 hours and 30 minutes

Step-by-step explanation:

Convert all fractions to decimals for easier division

9 and 5/8 = 9.625

1 and 3/4 = 1.75

Then divide 9.625 by 1.75 to get the hours amount

9.625 / 1.75 = 5.5

0.5 of an hour is 30 minutes, so the final answer is 5 hours and 30 minutes

Answer:

5.5 hours

Step-by-step explanation:

9.625/1.75=5.5hr

what temperature is 2°C higher than normal body temperature​

Answers

[tex]it s \: fever \: [/tex]

We get fever when our body temperature reaches to 100° C and our normal body temperature is 98°C.

Please help me with this please actually help me please and thank you

Answers

Answer:

solutions: (0, 0) and (3, -1)not solutions: (0, -7) and (-7, 2)

Step-by-step explanation:

a.

The problem statement tells you that the doubly-shaded region to the upper right is where the solutions are. You have an infinite number of solution points to choose from in that region.

(0, 0) and (3, -1) are solutions

__

b.

Everywhere else on the graph are points that are not solutions.

(0, -7) and (-7, 2) are not solutions

Can sombody help me with this ?

Answers

Answer:

They flipped it over the X and the it was flipped over the Y

Step-by-step explanation:

Please answer this (who ever answers correctly gets brainlest)

Answers

Answer:

The answer would be 0.21 meters.

Step-by-step explanation: hope this helps!

Answer:

0.21 meters

Step-by-step explanation:

To convert centimeters to meters, divide the centimeter variable by 100.

21/100 = 0.21

Which expression correctly represents "nine less than the quotient of a number and four, increased by three"? StartFraction n Over 4 EndFraction minus 9 3 StartFraction 4 Over n EndFraction minus 9 3 9 minus StartFraction n Over 4 EndFraction 3 9 minus StartFraction 4 Over n EndFraction 3.

Answers

Answer:

n/4-9 +3

Step-by-step explanation:

to answer this question we have to analyze the information given.

The quotient of a number means the result of the division of 2 numbers.

In this case the numbers are: a number (n) and 4 . n/4

Nine less than that quotient means we have to subtract 9 to the quotient.

n/4-9

Increase by three: we simply have to add 3

n/4-9 +3

Feel free to ask for more if needed or if you did not understand something.

How many boxes of cereal can you buy with $9 if one box costs $3? in one step eqution

Answers

Answer:

3 Boxes

Step-by-step explanation:

$9/$3 = 3 Boxes

Hence, you can buy 3 Boxes

[RevyBreeze]

6(12)(3)=1/3(12)(16)x. Please help, need to check my answer. Thanks

Answers

X=27/8 to make it equal

Simplify − 4 r + s − 2 r − 3 s

Answers

Answer:

[tex]-6r-2s[/tex]

Step-by-step explanation:

Given the following question:

[tex]-4r+s-2r-3s[/tex]

In order to find the answer, we group the terms with the same variable and then simplify by combining like terms.

[tex]-4r+s-2r-3s[/tex]
[tex]-4r-2r+s-3s[/tex]
[tex]-4r-2r=-6r[/tex]
[tex]s-3s=2s[/tex]
[tex]-6r-2s[/tex]

Hope this helps.

Can somebody please try answering this word problem! Even showing how you do it can be very helpful, thanks!!!


WILL MARK BRAINLIEST TO WHOEVER CAN ANSWER THIS QUICKLY AND CORRECTLY!!! :DDD

Answers

The answer is 125 that’s the answer

Answer:

I am not quite sure of the answer but probably

125 dollars

Step-by-step explanation:

375÷3

=125

WILL GIVE BRAINLY PLEASE HELP!!!!!! In this triangle, what is the value of x? enter your answer, rounded to the nearest tenth, in the box.

Answers

Answer:

     x ≈ 67.1

Step-by-step explanation:

The side adjacent to x° is given, along with the hypotenuse. That suggests the relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(x°) = 28/72 = 7/18

The angle is found from the cosine using the inverse cosine function:

  x° = arccos(7/18)

  x° ≈ 67.1°

Help me w/this quick plz :)

Answers

Answer:

[tex]3x + 5y \leqslant 108[/tex]

,/,/,/,//,/,/,/,//,,,,,,///,,/,///,/,,/,,/,/,/,/,,

Answers

Answer :

hmmm ... :0 ?

Answer:

true

Step-by-step explanation:

A and B are two similar solids.
b height= 15 cm a height= 10 cm
The volume of A is 400 cm. Work out the volume of B.​

Answers

Answer:

15/10 =1.5 linear s.f

1.5^3 x 400 =1350

1350cm^3

Hope this helps!

HEY PLEASE 50 POINTS

What is (2^2) x 3.14 (or pi)

Answers

Answer:

Hello

The answer you're looking for is 12.56 or 12.5663

Step-by-step explanation:

Have a wonderful day dear <3

Answer:

the answer is 12.56

Step-by-step explanation:

Can anyone solve?

[tex] \sf{5x + x = ?}[/tex]

Answers

ASNWER: 6x
To solve this you would need to simplify

The sum of 5x and x as given in the question is 6x

Sum of expression

Given the following expression

5x + x

We are to take the sum and this is given as:

5x + x  = (x+x+x+x+x) + x

5x + x = 6x

Hence the sum of 5x and x as given in the question is 6x

Learn more on sum of function here: https://brainly.com/question/24205483

=
If f(x) = 2(34) + 1, what is the value of f(2)?

Answers

Answer:

34.5 i thiNK

Step-by-step explanation:

PEMDAS

2 times 34 is 68 plus 1 is 69

Therefore for it to be equal f would have to be half of 69 which is 34.5

What does this graph mean?

Answers

Answer:

(150, 100) is the solution for the system of equations

Step-by-step explanation:

Without more context, I cannot give you an exact answer, but this graph shows the solution to a system of equations. When y is 100, x is 150.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

how do you solve
2h + 8 > 3h -6

Answers

Answer:

h<14

Step-by-step explanation:

2h+8>3h-6

2h-3h+8>-6

-h+8>-6

-h>-6-8

-h>-14

h<14

A reflection line is equidistant from a pre-image point and its image.



Therefore, in segment AA’, point M is the
Line segment A B is reflected across a line to form line segment A prime B prime. Points M and N are halfway between points A and A prime and B and B prime.

Answers

Answer:

Reflection Lines A reflection line is equidistant from a pre-image point and its image. [ Therefore, in segment AA , point M is the Midpoint.

Step-by-step explanation:

Found on weegy.

Answer:

midpoint

Step-by-step explanation:

For a project in his Geometry class, Nathaniel uses a mirror on the ground to measure the height of his school’s flagpole. He walks a distance of 7.95 meters from the flagpole, then places a mirror on flat on the ground, marked with an X at the center. He then steps 1.15 meters to the other side of the mirror, until he can see the top of the flagpole clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.65 meters. How tall is the flagpole? Round your answer to the nearest hundredth of a meter.

Answers

The height of the flagpole to the nearest hundredth is 11.41 m

Similar shapes

In order to get the height of the flagpole, we will use the similarity theorem of shapes.

From the given diagram, we will have the expression

1.65/1.15 = x/7.95

Cross multiply

1.15x = 1.65 * 7.95

1.15x = 13.1175

x = 13.1175/1.15

x = 11.406

Hence the height of the flagpole to the nearest hundredth is 11.41 m

Learn more on similar shapes here: https://brainly.com/question/2644832

A survey was conducted on a random sample of 100
middle school students regarding their favorite color
out of blue, red, or yellow. 33 students chose blue, 34
students chose red, and 33 students chose yellow.
Greg concluded that the students at the middle
school have a preference of the color red. Is his
inference correct? Why or why not?

Answers

Answer:

No, he is not correct because red and yellow got the same amount of votes when it came to adding them up.

Step-by-step explanation:

Answer:

he is because there is 34 beats 33 so 34 would win

Step-by-step explanation:

Someone help pls -……

Answers

Answer:

d) 35ft

e) 6 seconds

f) 250°

Step-by-step explanation:

If it makes one rotation (360°) in 36 seconds, then it turns 10° every second.

   36 secs = 360°

⇒ 1 sec = 360/36 = 10°

d)  After 9 seconds, it has turned:

9 x 10 = 90°

Therefore, it will be 15 + 20 = 35ft from the wall

e) 60° = 6 seconds

f) 25 seconds = 25 x 10 = 250°

A plant has an initial height of 2 inches and grows at a constant rate of 2 inches each month. A second plant that also grows at a constant rate has an initial height of 1 inch and is 29 inches tall after 1 year. After how many months are the plants the same height?

Answers

Answer:

Answer:4.8 monthsStep-by-step explanation:First, let's write down the information that we are given.Plant A: Initial Height: 3 in.Constant Rate of Growth (CRG): 2in/month (2 inches per month)Plant B:Initial Height: 1 in.CRG: 29in/year (29 inches per year)We can see that Plant B grows 29 inches per year, so lets convert Plant B's 'CGR' to months.Plant B - Divide by 12 (12 months in a year)29/12 in/yearNow, Lets put these into equations:Plant A: y = 2x + 3Plant B: y = 29/12 x + 1Now, set these two equations together and solve for x.2x + 3 = 29/12 x + 12 = 5/12 x4.8So, after 4.8 months, the plants will be the same height.

hope it helps you

Can anyone help me with this

Answers

Answer:

(3, -6)

Step-by-step explanation:

Both equations are equal to y, so you can make them equal to each other:

-2x = 5x-21

Get the same terms on the same side by subtracting 5x from both sides"

-7x = -21

Get x alone by dividing both sides by -7:

x = 3

The simplest way to find y is by filling in 3 for x in the first equation:

y = -2(3)

Multiply:

y = -6

Check your answer by filling in 3 for x in the second equation:

y = 5(3) - 21

Multiply:

y = 15 - 21

Subtract:

y = -6

To check both answers together, fill in 3 for x and -6 for y in both equations (although we already checked both answers above):

-6 = -2(3)

-6 = -6

-6 = 5(3) - 21

-6 = 15 - 21

-6 = -6

Answer:

3,-6

Step-by-step explanation:

Three sides of a quadrilateral are equal lengths. The length of the fourth side is 5 inches.

Answers

Answer:

A

Step-by-step explanation:

[tex] x + x + x + 5 = 26[/tex]

[tex]3x + 5 = 26[/tex]

The water dam is filled up using the first tributary in 1 hour and 10 minutes, using the second
tributary in 60 minutes. How many minutes it takes to fill the half of the dam using both of the
tributaries, if the second tributary will be opened 12 minutes after the first one ?

Answers

Answer:

I would use quaro is is faster.

Step-by-step explanation:

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