1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fynjy0 [20]
3 years ago
10

Plz help me!!!!!!!!!

Mathematics
1 answer:
Over [174]3 years ago
7 0

Answer:  \bold{\dfrac{4\pm \sqrt{6}}{2}}

<u>Step-by-step explanation:</u>

\dfrac{3}{y-2}-2=\dfrac{1}{y-1}\\\\\\\text{Multiply by the LCD (y-2)(y-1) to clear the denominator:}\\\\\dfrac{3}{y-2}(y-2)(y-1)-2(y-2)(y-1)=\dfrac{1}{y-1}(y-2)(y-1)\\\\\\3(y-1)-2(y-2)(y-1)=1(y-2)\\\\3y-3-2(y^2-3y+2)=y-2\\\\3y-3-2y^2+6y-4=y-2\\\\-2y^2+9y-7=y-2\\\\0=2y^2-8y+5\quad \rightarrow \quad a=2,\ b=-8,\ c=5\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(2)(5)}}{2(2)}\\\\\\.\ =\dfrac{8\pm \sqrt{64-40}}{2(2)}

.\ =\dfrac{8\pm \sqrt{24}}{2(2)}\\\\\\.\ =\dfrac{8\pm 2\sqrt{6}}{2(2)}\\\\\\.\ =\dfrac{4\pm \sqrt{6}}{2}

You might be interested in
The weight of a specific type of male monkey is normally distributed with a mean of 15 pounds and a standard deviation of 3 poun
Viktor [21]

Answer:

1.33

Step-by-step explanation:

The z-score of a value is found by subtracting the mean from the value and then dividing by the standard deviation, this is the formula for the z-score.

z-score = (19-15)/3

z-score = 4/3

z-score = 1.33

The z-score for the monkey is about 1.33

7 0
3 years ago
A birthday candle costs $0.84. How much do 6 birthday candles cost?
spin [16.1K]

Answer:

$5.04

Step-by-step explanation:

Take the cost of one candle and multiply the number of candles desired

6 *.84 =5.04

4 0
3 years ago
Read 2 more answers
nickel has an approximate diameter of 20 mm and an approximate thickness of 2 mm what is the approximate volume of a stack of 40
ziro4ka [17]

Answer:

The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.

Step-by-step explanation:

A nickel can be modelled by the formula of a right cylinder, the approximate volume of the stack of nickels (V_{net}), measured in cubic milimeters, is the product of the number of elements (n), no unit, and the volume of each element (V), measured in cubic milimeters. That is:

V_{net} = n\cdot V (1)

By volume equation of right cylinder, we have the following formula:

V_{net} = \frac{\pi}{4}\cdot n \cdot D^{2}\cdot h (2)

Where:

n - Amount of nickels, no unit.

D - Diameter of nickel, measured in milimeters.

h - Thickness of nickel, measured in milimeters.

If we know that n = 40, D = 20\,mm and h = 2\,mm, then the net volume of the stack of nickels is:

V_{net} = \frac{\pi}{4}\cdot (40)\cdot (20\,mm)^{2}\cdot (2\,mm)

V_{net} \approx 25132.741\,mm^{3}

The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.

8 0
3 years ago
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each
Alla [95]

Answer:Number of small boxes shipped = 8

Number of large boxes shipped = 13

Step-by-step explanation:

Step-by-step explanation:

Let x be the number of small boxes and let y be the number of large boxes

According to the first statement, a total of 21 boxes were shipped

Equation 1 will be:

x+y=21

According to 2nd statement, the total weight was 1110 and we know the weight of one small box is 25 and large box is 70

Equation 2 will be:

25x+70y=1110

Use the substitution method for solving the equation

Putting the value of x in equation 2  

25(21-y) +70y =1110

525-25y+70y = 1110

45y = 585

Y=13

Putting the value of y in equation 1  

x+13 = 21

X = 8

Number of small boxes shipped = 8

Number of large boxes shipped = 13

4 0
3 years ago
Clint wants to keep a young tree from blowing over during a high wind.he decides that he should tie a rope around the tree at a
liraira [26]
The rope tied to the tree will make a triangle.

The height of the triangle = 180cm
The base of the triangle = 200cm

to find how much rope you need, work out the hypotenuse using Pythagoras:

180^2 + 200^2 = 72400
√72400 = 269.0724809

This is the length of rope he needs, however you need to +30 as this is what he will need when he ties the rope:

269.0724809 + 30 = 299.0724809

299.0724809 is less than the 270cm of rope he has, so he would need more.

8 0
3 years ago
Other questions:
  • Which expression is equal to 3(56)? 3(50 + 6) 3(50) + (6) 5(30 + 6) 5(30) + 5(6)
    11·2 answers
  • Choose the situation which would best be modeled by an exponential decay function.
    5·2 answers
  • 5. A company sells small, colored binder clips in packages of 20 and offers a money-back guarantee if two or more of the clips a
    5·1 answer
  • Please help!<br> f(x)=x^2. What is g(x)
    11·1 answer
  • A fairly good estimate for a long-term loan with a moderate or high interest rate is that the monthly payment is _____ as large
    15·1 answer
  • Pls help I'm in the test rn
    10·1 answer
  • please help! will give brainliest if the answer is correct:) need the answers in order to move on in the lesson!
    10·1 answer
  • Divide. check your answer
    11·1 answer
  • Which of the following fractions can be represented by a terminating decimal?
    15·1 answer
  • Please help I need this for a text ASAP.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!