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stepladder [879]
3 years ago
13

Solve for y: x(y-3)=2y+1

Mathematics
2 answers:
polet [3.4K]3 years ago
7 0

Answer: y=(3x+1)/(x-2)

Step-by-step explanation: Step by step with principles included in the image.

lana [24]3 years ago
6 0

Answer:

y =  \frac{3x + 1}{x - 2}

Step-by-step explanation:

Add -2y to both sides:

xy−3x+<u>−2y</u>=2y+1+<u>−2y</u>

Simplify:

xy−3x−2y=1

Add 3x to both sides:

xy−3x−2y+<u>3x</u>=1+<u>3x</u>

Simplify:

xy−2y=3x+1

Factor out variable y:

y(x−2)=3x+1

Divide both sides by x-2:

\frac{y(x - 2)}{x - 2}  =  \frac{3x + 1}{x - 2}

Simplify:

y =  \frac{3x + 1}{x - 2}

Hope this helps :)

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Rufus appears before Bill and Ted and offers them a bogus proposition: they must paint a house together with their magical guita
jolli1 [7]

Answer:

6.79

Step-by-step explanation:

-Let X denote the total amount of the job.

-The job has to be done in 5 hrs, therefore the portion done every hour is:

Rate=\frac{Total}{Time}\\\\=\frac{X}{5}\\\\=\frac{1}{5}X=0.2X

Therefore, the rate of Bill and Ted working jointly must equal the rate calculated above:

R_{Bill}=\frac{X}{19}\\\\=\frac{1}{19}X\\\\R_{Bill}+R_{Ted}=R_{required}\\\\\frac{1}{19}X+R_{Ted}=\frac{1}{5}X\\\\R_{Ted}=\frac{1}{5}X-\frac{1}{19}X\\\\=\frac{14}{95}X\\\\\therefore \frac{14}{95}X=1\ hr\\\\X=1\div \frac{14}{95}\\\\=6.7857\approx 6.79hrs

Hence, Bill working alone should complete the house in 6.79 hrs

6 0
3 years ago
Carbon–14 is a radioactive isotope that decays exponentially at a rate of 0.0124 percent a year. How many years will it take for
patriot [66]
100-0.0124=99.9876

10%=1/10
1/10P=P(0.999876)^t
divide both sides by P
1/10=0.999876^t
take ln of both sides
ln(1/10)=t (ln(0.999876))
divide both sides by (ln(0.999876))
ln(1/10)/(ln(0.999876))=t
use calculator
18568.08=t
about 18568 years

5 0
3 years ago
A box measures 15 inches by 8 inches by 5 inches. What is the length of its longest diagonal?
Bond [772]
17 inches


15^2 + 8^2 = 289
square root of 289 = 17 inches
5 0
3 years ago
What is log(4k-5)=log(2k-1)?
Paha777 [63]
Log(4k - 5) = log(2k - 1)
log(4k) - log(5) = log(2k) - log(1)
0.6020599913k - 0.6989700043 = 0.3010299957k - 0
0.6020599913k - 0.6989700043 = 0.3010299957k
<u>-0.6020599913k                            -0.6020599913k</u>
                           <u>-0.6989700043</u> = <u>-0.3010299957k</u>
                           -0.3010299957     -0.3010299957
                              2.321928094 = k
7 0
3 years ago
Eight less than the product of seven x
lisabon 2012 [21]

Answer:

2x - 8

Step-by-step explanation:

Product of two and a number x

⇒ 2 multiply by x

⇒ 2x

Eight less than 2x

⇒ Take away 8 from 2x

⇒ 2x - 8

8 0
3 years ago
Read 2 more answers
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