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3 years ago

Factor completely 2x^3y^4-8x^2y^3+6xy^2

Mathematics

1 answer:

Maru [420]3 years ago

6 0

Answer:

2 x y^2 (x y - 1) (x y - 3)

Step-by-step explanation:

2x^3y^4-8x^2y^3+6xy^2

each term contains 2xy^2 so factor that out

2xy^2(x^2y^2 -4xy+3)

then lets factor the inside

what terms multiply together to give us +3 and add to -4

-3* -1 = 3 -3+-1 =-4

2 x y^2 (x y - 1) (x y - 3)

You might be interested in

Jill drives 75 1/3 miles every hour how many miles can Jill Drive in 8 and 3/4 hours

11Alexandr11 [23.1K]

First, multiply 75 by 8 to get 600.
Then multiply 1/3 by 8 to get 8/3 or 2 2/3.
Add those together to get 602 2/3.

Next multiply 1/3 by 3/4 by multiplying the numerator by 3 and the denominator by 4. That is 3/12. Also known as 1/4.
Multiply 75 by 3/4 by dividing it by 4 then multiplying it by 3. That is 56 1/4.
Add 56 1/4 and 1/4 together to get 56 1/2.

Lastly, add together 56 1/2 and 602 2/3.
Convert the fractions to sixths.
56 3/6 + 602 4/6 = 659 1/6 miles
Hope this helps!

6 0

3 years ago

You measure 22 textbooks' weights, and find they have a mean weight of 64 ounces. Assume the population standard deviation is 5.

lara31 [8.8K]

Answer:

Step-by-step explanation:

We want to determine a 90% confidence interval for the true population mean textbook weight.

Number of sample, n = 22

Mean, u = 64 ounces

Standard deviation, s = 5.1 ounces

For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

It becomes

64 ± 1.645 × 5.1/√22

= 64 ± 1.645 × 1.087

= 64 ± 1.788

The lower end of the confidence interval is 64 - 1.788 = 62.21 ounces

The upper end of the confidence interval is 64 + 1.788 = 65.79 ounces

Therefore, with 90% confidence interval, the true population mean textbook weight is between 62.21 ounces and 65.79 ounces

3 0

3 years ago

Please help with question 20! Thanks<3

kkurt [141]

Answer:

Population of Town A = 19,575

Population of Town B = 52,200

Population of Town C = 20,880

Step-by-step explanation:

The ratio of..

A : B = 3 : 8

B : C = 5 : 2

Both A : B and B : C have B in their ratios. What we can do is make B the same in both ratios and then create a ratio between all three towns.

A : B = (3 : 8) x 5 = 15 : 40

B : C = (5 : 2) x 8 = 40 : 16

A : B : C

15 : 40 : 16

Now, to find the population of each town we can write the following equation using the numbers from our ratio between all three towns and set it to the given population.

15x + 40x + 16x = 92,655

Solve for x.

71x = 92,655

x = 1,305

Finally, we can use the value of x to find the population of each town.

Population of Town A = 15x

Population of Town A = 15(1,305)

Population of Town A = 19,575

Population of Town B = 40x

Population of Town B = 40(1,305)

Population of Town B = 52,200

Population of Town C = 16x

Population of Town C = 16(1,305)

Population of Town C = 20,880

~Hope this helps!~

3 0

4 years ago

Put the following equation in standard form and determine the quadratic, linear, and constant coefficients. -3x2 - 8 = 5x - 7

marusya05 [52]

Answer:

-3x² -5x -1 = 0
-3 (quadratic)
-5 (linear)
-1 (constant)

Step-by-step explanation:

The equation will be in standard form when terms are listed in order of decreasing degree, and the right side of the equation is 0.

<h3>Standard form</h3>

We can subtract the right-side expression from both sides to get standard form.

-3x² -8 -(5x -7) = 5x -7 -(5x -7)

-3x² -8 -5x +7 = 0 . . . . . . . simplify a bit

-3x² -5x -1 = 0 . . . . . . . . . collect terms

The standard form equation can be written ...

-3x² -5x -1 = 0

<h3>Coefficients</h3>

The quadratic coefficient is the coefficient of the term with degree 2. The quadratic coefficient is -3.

The linear coefficient is the coefficient of the term with degree 1. The linear coefficient is -5.

The constant coefficient is the coefficient of the term with no variables. The constant is -1.

<em>Additional comment</em>

We can make the leading coefficient positive by multiplying the equation by -1. This gives ...

3x² +5x +1 = 0

with quadratic, linear, and constant coefficients 3, 5, 1.

This is a legitimate answer to this question. In the case of linear equations, the "standard form" has the constant on the right side of the equal sign, and the leading coefficient is required to be positive. A negative leading coefficient can sometimes lead to errors (when the sign is overlooked), so having a positive leading coefficient is often preferred.

8 0

2 years ago

20 yards for $30.00

sertanlavr [38]

A) $55.00
65 yards for $85.00 subtract
20 yards for $30.00
85-30=55

4 0

3 years ago