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Paha777 [63]
3 years ago
5

Can someone pls help me

Mathematics
1 answer:
mario62 [17]3 years ago
8 0

Answer:

-15

Step-by-step explanation:

do 6 * -4 * -5/6 * -3/4

.......

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Which long division problem can be used to prove the formula for factoring the difference of two perfect cubes?
Lostsunrise [7]

Answer:

The correct options, rearranged, are:

Options:

A)(a^2+ab+b^2)/(a-b)\\\\B)(a^2-ab+b^2)/(a+b)\\\\C)(a^3+0a^2+0ab^2-b^3)/(a+b))\\\\ D)(a^3+0a^2+0ab^2-b^3)/(a-b)

And the asnwer is the last option (D).

Explanation:

You need to find which long division can be used to prove the formula for factoring the difference of two perfect cubes.

The difference of two perfect cubes may be represented by:

  • a^3-b^3

And it is, as a very well known special case:

  • a^3-b^3=(a-b)(a^2+ab+b^2)

Then, to prove, it you must divide the left side,    a^3-b^3     , by the first factor of the right side,    a-b

Note that, to preserve the places of each term, you can write:

  • (a^3-b^3)=(a^3+0a^2+0ab^2-b^3)

Then, you have:

  • (a^3+0a^2+0ab^2-b^3)=(a-b)(a^2+ab+b^2)

By the division property of equality, you can divide both sides by the same factor, which in this case will be the binomial, and you get:

  • (a^3+0a^2+0ab^2-b^3)/(a-b)=(a^2+ab+b^2)

That is the last option (D).

3 0
3 years ago
Read 2 more answers
Solve the equation by completing the square. Round to the nearest hundredth if necessary? X^2+3x=24
Genrish500 [490]
X^2+3x=24, halve the linear coefficient, square it, and add it to both sides

In this case (3/2)^2=2.25

x^2+3x+2.25=26.25 now the left side is a perfect square...

(x+1.5)^2=26.25  take the square root of both sides

x+1.5=±√26.25  subtract 1.5 from both sides

x=-1.5±√26.25

x=-1.5-√26.25 and -1.5+√26.25

x≈ -6.62 and 3.62
6 0
3 years ago
Help me answer a question pls
Soloha48 [4]
I think it’s B 190/100
3 0
3 years ago
Read 2 more answers
If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.
brilliants [131]

Degree: 5; leading coefficient: 10

Option D is correct.

Step-by-step explanation:

We need to identify if f(x) = 10x^5 + 7x^4+5 is a polynomial function, then state its degree and leading coefficient or not.

  • Polynomial

A polynomial is an algebraic expression containing two or more terms that have same variables but may have different exponents combined through mathematical symbol(+,-,*or/)

So, f(x) = 10x^5 + 7x^4+5 is a polynomial function

  • Degree of polynomial

The degree of polynomial is the highest degree obtained by sum of all exponents of individual terms in the polynomial.

So, f(x) = 10x^5 + 7x^4+5 has highest degree 5

Degree = 5

  • Leading Coefficient

The leading coefficient is the coefficient of first term of the polynomial.

So, f(x) = 10x^5 + 7x^4+5 has  leading coefficient = 10

So, Leading coefficient = 10

So, Degree: 5; leading coefficient: 10

Option D is correct.

Keywords: Polynomials

Learn more about Polynomials at:

  • brainly.com/question/10771256
  • brainly.com/question/1414350
  • brainly.com/question/2568692

#learnwithBrainly

3 0
3 years ago
Rachel budgeted $76.50 for school clothes this is 0.45 of her total budget how much does Rachel have in her total budget
skad [1K]
Rachel has $170 in her total budget. You would set up a proportion to solve this.\frac{76.50}{.45} = \frac{x}{1}
6 0
4 years ago
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