MATHEMATICS HIGH SCHOOL

Factor the GCF: −6x3y + 9x2y2 − 12xy33xy(−2x2 + 3xy − 4y2)

−3xy(2x2 + 3xy − 4y2)

−3xy(2x2 − 3xy + 4y2)

−3(2x3y − 3x2y2 + 4xy3

Answers

Answer 1
Answer:

Answer:

Option C is the answer.

Step-by-step explanation:

We have to factor the GCF of the given expression:

-6x³y + 9x²y² - 12xy³

To get the GCF of the given expression we will find the factors of each term first.

Factors of 6x³y =  2 × 3 × (x) × (x) (x) (y)

Factors of 9x²y² = 3 × 3 × (x) (x) (y) (y)

Factors of 12xy³ = 2 × 2 × 3 × (x) (y) (y) (y)

So the common factor is 3 × (x) (y)

Now we will take out the GCF as a factor of the given expression = 3xy (-2x² + 3xy - 4y² )

= -3xy ( 2x² - 3xy + 4y² )

Option C is the answer.
Answer 2
Answer: -6x^3y + 9x^2y^2 - 12xy^3
-3xy(2x^2) - 3xy(-3xy) - 3xy(4y^2)
-3xy(2x^2 - 3xy + 4y^2)

The answer is C.

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A cone has a radius of 5 inches and a height of 18 inches.What is the exact volume of the cone?

A.
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B.
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Answers

It would be C., because to find the volume, you would have to multiply the radius by itself, to get the diameter. Then, the answer you get will have to be multiplied by the height.: 5 times 5 equals 25, and then 25 times 18 equals 450.

you were planning to use a ceramic tile design in your new bathroom. The towels are blue and white equilateral triangle of you decides arrange the blue tiles in a hexagonal shape as shown if the side of each tile measures 7 cm what were the exact area of each hexagonal shape

Answers

I found the image that should have accompanied this problem.

Given:
equilateral triangle with sides that measures 7cm.
hexagonal shape meaning 6 sides or 6 equilateral triangles used.

Area of an equilateral triangle = √3/4 * a²
A = √3 /4 * (7cm)²
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you invest $1,500 today in a bank that gives you a 5 percent annual interest rate, which of these items can you buy in two years?

Answers

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Step-by-step explanation:

List the first twenty counting numbers in base seven? (only digits 0 thru 6 are used in base 7)

Answers

The correct answer is:


1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 14, 15, 16, 20, 21, 22, 23, 24, 25, 26.


Explanation:


The base 7 number system has digits 0 through 6.


When we start counting, we start with 1. In base 7, we would be able to go from 1 to 6, just as in base 10. However, in base 7, after we reach 6, we would hit 2 digits; instead of 7, the next number would be 10.


We would then count from 10 to 16. After we reach 16, instead of 17, we go to 20 and count from 20 to 26.

So the question ask to list the first twenty counting numbers in base seven and the best answer would be 1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 14, 15, 16 , 20 ,21, 22, 23, 24, 25, 26, 30, 31, 32, 33, 34, 35, 36, 40, 41. I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification about the said question 

Complete the equation.

4 • 48 = (4 • 40) + (4 • ?)

Please help!

Answers

4 • 48 = (4 • 40) + (4 • 8)

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Answers

There are 6 possibilities for the outcome of one cube.  For each of those . . .
There are 6 possibilities for the outcome of the other cube.

Total possibilities for the roll of 2 cubes = (6 x 6) = 36 outcomes.

Ways to roll a sum of 10:
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5 . . . 5
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Three possibilities.

Probability of rolling a 10 = 3/36 = 1/12 = 8 and 1/3 percent 

Odds in favor of success = 1 in 12 , or    1 to 11 . (11 to 1 odds of failing.)
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