Divide (15x^2+x-8)/(3x-1)

Answers

Answer 1

Answer: Simplifying -15x2 + -2x + 8 = 0
Reorder the terms: 8 + -2x + -15x2 = 0 Solving 8 + -2x + -15x2 = 0 Solving for variable 'x'.
Factor a trinomial. (2 + -3x)(4 + 5x) = 0 Subproblem 1Set the factor '(2 + -3x)' equal to zero and attempt to solve:
Simplifying 2 + -3x = 0 Solving 2 + -3x = 0
Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2
Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2
Combine like terms: 0 + -2 = -2 -3x = -2
Divide each side by '-3'. x = 0.6666666667
Simplifying x = 0.6666666667
Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve:
Simplifying 4 + 5x = 0
Solving 4 + 5x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation. 4 + -4 + 5x = 0 + -4
Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4
Combine like terms: 0 + -4 = -4 5x = -4
Divide each side by '5'. x = -0.8 Simplifying x = -0.8
Solutionx = {0.6666666667, -0.8}

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Need help in this question please show work along with answer

Answers

      (x² - y²)² + (2xy)² = (x² + y²)²
   (x² - y²)(x² - y²) + 2x²y² = (x² + y²)(x² + y²)
      x²(x² - y²) - y²(x² - y²) + 2x²y² = x²(x² + y²) + y²(x² + y²)
x²(x²) - x²(y²) - y²(x²) + y²(y²) + 2x²y² = x²(x²) + x²(y²) + y²(x²) + y²(y²)
      x⁴ - x²y² - x²y² + y⁴ + 2x²y² = x⁴ + x²y² + x²y² + y⁴
         x⁴ - 2x²y² + y⁴ + 2x²y² = x⁴ + 2x²y² + y⁴
   x⁴ - 2x²y² + 2x²y² + y⁴ = x⁴ + 2x²y² + y⁴
      x⁴ + y⁴ = x⁴ + 2x²y² + y⁴
      - x⁴    - x⁴
   y⁴ = 2x²y² + y⁴
       - y⁴ - y⁴
      0 = 2x²y²
      2    2
      0 = x²y²
      0 = xy

I didn't find the answer to the problem.

Find the prime factors of 60 by dividing by prime numbers.

Answers

Let's start with the smallest prime number 2

60/2 = 30

Divide that result over 2

30/2 = 15

We can't divide this by 2 because 15/2 = 7.5 isn't a whole number

Let's move onto 3

15/3 = 5

The result is a prime number, so we stop.

The values we divided as denominators were: {2, 2, 3}

We add the result 5 to the set to completely list all of the prime factors of 60

The prime factorization would be

60 = 223*5

which is the same as saying

60 = 2^235

En un club privado con 243 usuarios se ha seleccionado una muestra para hacer un sondeo, según la actividad realizada y por muestreo aleatorio estratificado. En una muestra, 5 usuarios practican yoga, 7 pilates y 15 mantenimiento, ¿cuántos usuarios estan inscritos en cada actividad en ese club?

Answers

243 divide by the numbers

Which of the following statements contains a quotient? A. 7 + 6 = 13 B. 7 × 6 = 42 C. 42 ÷ 6 = 7 D. 7 – 6 = 1

Answers

Mathematically, quotient means the solution you get when solving a division problem.

The only reliable choice is C)

Choice A) is called "the sum or total"
Choice B) is called "the product."
Choice D) is called the "the difference"

The quotient is the answer to a division problem. Therefore, C is the correct answer.

Henry rolls 2 number cubes numbered 1 through 6 while playing his favorite board game. He will get a second turn if he rolls a sum that is an even number less than 10. What are Henry's chances of getting a second turn when he rolls the number cubes? 7/18 11/18 5/36 17/36 I got 5/18. I added up the amount of different ways to get 2-8. I found 10. Either the test is wrong or I'm really bad at counting, and I'm not confident enough to count either of them out.

Answers

Answer: $(7)/(18)$

Step-by-step explanation:

The sample size n ( total pairs )= $6*6=$ 36

Pairs having the even sum less than 10 area

(1,3), (3,1), (1,5), (5,1),(3,5),(5,3),

(2,4), (4,2), (2,6),(6,2),

(1,1),(3,3),(2,2),(4,4)

The number of ways to get a sum that is an even number less than 10= 14

The chances of getting a second turn when he rolls the number cubes= $=\frac{\text{favourable outcomes}}{\text{Total outcomes}}(14)/(36)=(7)/(18)$

Hence, The chances of getting a second turn when he rolls the number cubes= $(7)/(18)$

First of all, we know that each cube can land in 6 different ways,
so two cubes can land in (6x 6) = 36 different ways.

Now let's check your count. How many ways can you roll a 2, 4, 6, or 8 ?

Cube-A Cube-B
1 1 2
1    3 4
3    1 4
2    2 4
1    5     6
      5    1 6
      2    4 6
      4    2 6
      3 3 6
      2    6 8
      6    2       8
3 5 8
    5 3 8
4    4    8

I get 14 ways.

So the probability of success is

   (number of successful ways) / (total possible ways) =

   (14) / (36) = 7/18 .

Find the slope of the line:
5x+3y=6

Answers

To get the result we have to transform given formula into y=ax+b form.
Lets do this
5x+3y=6 /-5x (subtract 5x both sides)
3y=-5x+6 /:3 (divide both sides by 3)
y= $-(5)/(3) x+6$
In form y=ax+b we know that a is slope and b is y intersect. We can read from our transformed equation that slope a= $-(5)/(3)$ and its the result

$5x+3y=6\n3y=-5x+6\ny=-(5)/(3)x+2\n\boxed{m=-(5)/(3)}$