MATHEMATICS HIGH SCHOOL

HELP PLEASE ! Factor the polynomial completely.
18x^2y-2y
HELP PLEASE ! Factor the polynomial completely. 18x^2y-2y - 1

Answers

Answer 1
Answer:

Answer:

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

Step-by-step explanation:

18x^2y-2y

Factor out the greatest common factor 2y

2y( 9x^2 -1)

The term in the parentheses is the difference of squares

a^2 - b^2 = (a-b)(a+b)

2y( 3x-1)(3x+1)
Answer 2
Answer: 2y(3x-1)(3x+1) is what I came up with to answer your question, hope this helps!

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What set of reflections and rotations would carry rectangle ABCD onto itself?

Answers

To solve this problem you simple have to think which of the following option would carry your shape into itself. Or in simpler words which one would make it go 360 degrees around. The correct set of reflections and rotations would be:


Reflect over the y-axis, reflect over the x-axis, rotate 180°.

I hope it helps, Regards.

Answer:

Reflect over the y-axis, reflect over the x-axis, rotate 180°.

Step-by-step explanation:

I took the test

In forming a contract, the “meeting of the minds” is _____.

Answers

In forming  A contract, the meeting of minds is a mutal agreement.

Answer:

A

Step-by-step explanation:

Faye and Andrew have written down the same negative number.Faye squares the number then multiplies by 2 and adds 4.
Andrew multiples the number by 21 then subtracts the result from 40.
They both finish with the same answer. What was the number?

Answers

x - the number

Faye squares the number: x²
then multiplies by 2: 2x²
and adds 4: 2x²+4

Andrew multiplies the number by 21: 21x
then subtracts the result from 40: 40-21x

They both finish with the same answer, so the results are equal.
2x^2+4=40-21x \n2x^2+21x+4-40=0 \n2x^2+21x-36=0 \n2x^2+24x-3x-36=0 \n2x(x+12)-3(x+12)=0 \n2x-3=0 \ \lor \ x+12=0 \n2x=3 \ \lor \ x=-12 \nx=(3)/(2) \ \lor \ x=-12

The number is negative so x=-12.

The number is -12.

What is the likelihood of choosing a day that falls on the weekend when randomly picking a day of the week?

Answers

Answer:

2/7

Step-by-step explanation:

7 days in a week

Out of which, 2 are weekend

P(weekend) = 2/7

Combining 0.288 mol Fe2O3 with excess carbon produced 18.1 g Fe. What is the actual yield of iron in moles

Answers

Answer:

To calculate the actual yield of iron in moles, we need to use the molar mass of iron (Fe) and the given mass of iron produced.

The molar mass of iron (Fe) is approximately 55.845 g/mol.

Given:

Amount of Fe2O3 = 0.288 mol

Mass of Fe produced = 18.1 g

To find the moles of Fe produced, we can use the molar mass of Fe:

moles of Fe = mass of Fe / molar mass of Fe

moles of Fe = 18.1 g / 55.845 g/mol

moles of Fe ≈ 0.324 mol

Therefore, the actual yield of iron in moles is approximately 0.324 mol.

Izzy is making cookies. The recipe for 1/4 cup of butter and 3/8 cup of sugar. How much sugar would Izzy use if she used 1 cup of butter? Write your answer as a mixed number

Answers

To solve this equation, we have to set up a proportion, because we want to keep the ratio of butter to sugar equal between the two recipes.  Let x represent the amount of sugar that we are trying to find.

1/4 cup butter/3/8 cup sugar = 1 cup butter/ x cup sugar

To solve this proportion, we need to use cross products, or the multiplication of the numerator of one fraction by the denominator of the other, and setting them equal to one another.  If done properly, the resulting equation is:

1/4x= 3/8

Finally, we just need to divide both sides by 1/4, which is the coefficient of x, as we are trying to get x alone.  Your final answer is 

x=1.5.

Therefore, this means that if Izzy uses 1 cup of butter, she would use 1 1/2 cups of sugar.
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