MATHEMATICS HIGH SCHOOL

Rewrite the fraction in simplest form.
18/24

Answers

Answer 1
Answer: The greatest common fact is 6.

18 ÷ 6 = 3
24 ÷ 6 = 4

In simplest form, 18/24 = 3/4

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What is the difference of the polynomials?

(–2x3y2 + 4x2y3 – 3xy4) – (6x4y – 5x2y3 – y5)

Answers

Answer:

-6x^4-2x^3y^2+9x^2y^3-3xy^4+y^5

Step-by-step explanation:

We have to find the difference of the polynomials

(-2x^3y^2+4x^2y^3-3xy^4)-(6x^4-5x^2y^3-y^5)

Let us distribute the negative over the parenthesis

-2x^3y^2+4x^2y^3-3xy^4-6x^4+5x^2y^3+y^5

Now, group the like terms

-2x^3y^2+(4x^2y^3+5x^2y^3)-3xy^4-6x^4+y^5

Combine the like terms

-2x^3y^2+9x^2y^3-3xy^4-6x^4+y^5

Rearrange the polynomial, we get

-6x^4-2x^3y^2+9x^2y^3-3xy^4+y^5
Answer
9x^2 y^3-2x^3 y^2-3xy^4-6x^4 y+y^5

Explanation
The term difference in mathematics means the result after subtraction.
It is important to know that we only subtract like terms only.
(-2x^3 y^2+4x^2 y^3-3xy^4 )-(6x^4 y-5x^2 y^3-y^5)
(-2x^3 y^2+4x^2 y^3-3xy^4 )-6x^4 y+5x^2 y^3+y^5
-2x^3 y^2+4x^2 y^3-3xy^4-6x^4 y+5x^2 y^3+y^5
-2x^3 y^2+9x^2 y^3-3xy^4-6x^4 y+y^5
This equation cannot be simplified further. So the difference is
=9x^2 y^3-2x^3 y^2-3xy^4-6x^4 y+y^5

Y^2+4x-6x-6y+5=0convert to standard form, find the vertex, focus, and the equation of the directrix line

Answers

I think it is :x= (Y^2)/(2)-3y+ (5)/(2).

But...not really sure
so first we group like terms
y^2+4x-6x-6y+5=0
y^2-6y-2x+5=0
so I suspect that you might have left out a x^2 but I'll try to solve it how it is

y^2-6y+5-2x=0
factor y^2-6y+5
what adds up to -6 and multiplies to get 5, -1 and -5
(y-5)(y-1)-2x=0
not sure how to procede but you could get it to this
(y-5)(y-1)=2x

Solve the following equation for L:

P= 2L + 2W

Answers

p = 2L + 3w

Add -2w to both sides of the equation

2L = p - 2w

Divide both sides by 2

2L = p - 2w
/2        /2

L = 1/2P - w

Susan tossed a die 630 times. Which of the following would be a good estimate of the number of times she got the number 3 on the die?A. 205
B. 118
C. 170

Answers

Assuming the die had 6 sides, there would be a 1/6 chance of getting the number 3.

630 / 6 = the theoretical amount of times you should get any number on the dice
630 / 6 = 105 

105 is closest to B. The answer is B.

Please make my answer the brainliest if I was helpful

Solve for x.
x/9 =14

(A) 126
(B) 130
(C)139
(D)146

Answers

Answer:

(A) 126

Step-by-step explanation:

x/9 =14

Multiply each side by 9

x/9*9 =14*9

x =126

Find the roots of f(x)=dx^2+ex+f by completing the square.

Answers

Answer and workings in the attachment below.
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