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Gennadij [26K]
2 years ago
8

Solve for x in the equation 3 x squared minus 18 x + 5 = 47.

Mathematics
1 answer:
Lana71 [14]2 years ago
6 0

Answer:

first option

Step-by-step explanation:

3x² - 18x + 5 = 47 ( subtract 5 from both sides )

3x² - 18x = 42 ( divide through by 3 )

x² - 6x = 14

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 3)x + 9 = 14 + 9

(x - 3)² = 23 ( take square root of both sides )

x - 3 = ± \sqrt{23} ( add 3 to both sides )

x = 3 ± \sqrt{23}

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dsp73

Answer:

you need to substitute values on the next form of resolving this problem as  follows...

A hose fills up a hot tub at a rate of 3.2 gallons per minute. How many hours will it take to fill a 300 gallon hot tub?

please explain the method of unit conversions as thoroughly as possible.

 

Solution:

 

The rate of fill up is, Rate = 3.2 Gallons / minute = 3.2 g/min

The hut tub volume is 300 Gallons

 

You can set up this problem as follows:

 

Every 3.2 gallons require 1 minute, How many minutes 300 gallons require?

 

3.2  g    1min

300 g     ? min    = (300 gallons x 1min/ 3.2 gallons)=(300/32)min

 

= 93.75 min

 

or simply the number minutes is the time required (T) the rate is (R) and the volume is (V)

such that T=V/R= (300g/3.2 g/min)= 93.75 min

7 0
3 years ago
A cylinder an a cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches.The cone has a radius o
taurus [48]

  Volume of a cone =  (1/3) pi x r^2 x h

Volume of a cylinder =  pi x r^2 x h

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Now set the volume for the cone to the volume of the cylinder and solve for the height.

37.68 = (1/3) x pi x r^2 x h

37.68 = (1/3) x pi x 3^2 x h

37.68 = (1/3) x pi x 9 x h

37.68 = 9.42 x h

h = 37.68 / 9.42

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6 0
3 years ago
What is this?<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bf%7D%7B4%7D%20%20-%205%20%3D%20%20-%209" id="TexFormula1" title=
tigry1 [53]

Hey there!

<h2>ANSWER: f=-16</h2><h2>EXPLANATION:</h2>

\frac{f}{4}-5=-9

Simplify both sides and you get:

\frac{1}{4}f-5=9

Now add 5 to both sides and you get:

\frac{1}{4}f=-4

Now you have to multiply both sides and you get:

f=-16(ANSWER)

Hope this helps!

\text {-TestedHyperr}

6 0
3 years ago
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katen-ka-za [31]
Hi there 
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4 0
3 years ago
If the Semi Monthly is $4,000
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A- if semi monthly is half a month, then 4 times 2 is 8, and 8 times 12 is 96,000.

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D- The weekly pay is 2,000$ because the monthly pay is 8,000$ and there are 4 weeks in a month

E- I do not know the hours at this job and therefore cannot answer this
4 0
3 years ago
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