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serious [3.7K]
3 years ago
8

Simplify 4x^3-3x^2+ x +3x^3

Mathematics
1 answer:
ch4aika [34]3 years ago
7 0
4x^{3} - 3x^{2} + x + 3x^{3}

First, gather the like terms. / Your problem should look like: (4x^{3} + 3x^{3} ) - 3x^{2} + x
Second, simplify. / Your problem should look like: 7x^{3} - 3x^{2} + x

Answer: 7x^{3} - 3x^{2} + x

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10 POINTS
podryga [215]
Take the length of the larger divide it by the smaller

5/2 = 2.5
6 0
3 years ago
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If x-1/x=5 find x^3+1/x^3=?
ipn [44]

\dfrac{x-1}{x}=5\ \ \ \ /x\neq0\\\\\dfrac{x-1}{x}=\dfrac{5}{1}\ \ \ \ |\text{cross multiply}\\\\5x=x-1\ \ \ \ |-x\\\\5x=1\ \ \ \ |:5\\\\x=0.2\\\\\dfrac{x^3+1}{x^3}=\dfrac{x^3}{x^3}+\dfrac{1}{x^3}=1+\dfrac{1}{x^3}\to1+\dfrac{1}{0.2^3}=1+\dfrac{1}{0.008}\\\\=1+\dfrac{1}{\frac{8}{1,000}}=1+\dfrac{1,000}{8}=1+125=126\\\\\text{Answer:}\ \dfrac{x^3+1}{x^3}=126

5 0
3 years ago
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What two numbers multiply to -32 and add to 4
svetlana [45]

Answer:

9 and also -4

Step-by-step explanation:

5 0
3 years ago
Which of the following are identities?
podryga [215]

Answer:

A. III only

Step-by-step explanation:

In mathematics, an identity is one of the characteristics of algebraic expressions.

Given variable a and b in an algebraic expression, an identity is defined as an equality that remains the same no matter the values that we choose for either variable a or b.

Identity in mathematics makes it very easy to solve algebraic expressions. The two sides of an identity in an algebra can easily be exchanged for each other.

In the above question, we are given 3 Options.

I) 3(5 + 2x) = 15 + 6x

II) y = x + 3

III) (x² - y²) = (x + y) (x - y)

Option I) 3(5 + 2x) = 15 + 6x

Is showing distributive property in mathematics.

Distributive property is :

a(b + c) = ab + ac

Option I is not an identity , therefore it is wrong.

Option II) y = x + 3 is just an algebraic expression.

Only Option III is an identity. This is because it follows the rule of

(a² - b²) = (a + b) (a - b)

We can prove and confirm this be solving the algebraic expression

(x + y) (x - y)

We expand the bracket

x² - xy +xy - y²

x² - y²

Therefore, option A is the correct option.

6 0
3 years ago
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A certain recipe requires 415 cups of flour and 237 cups of sugar. a) If 49 of the recipe is to be made, how much sugar is neede
Bas_tet [7]
49*237

11613

That's a lot of sugar, diabetes here we come :)


7 0
3 years ago
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