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Andrej [43]
3 years ago
7

How do we express one-half of the difference of a number cubed and one?

Mathematics
2 answers:
Colt1911 [192]3 years ago
4 0

Answer:

1/2(x^3 - 1) or we could write it as (x^3 - 1) / 2.

Step-by-step explanation:

A number cubed is x^3. Difference of this and 1 is x^3 - 1.

Finall we have 1/2 of this:

= 1/2(x^3 - 1) or we could write it as (x^3 - 1) / 2.

devlian [24]3 years ago
4 0

Answer:

\frac{x^3-1}{2}

Step-by-step explanation:

We must follow what the statement asks us, starting from the last thing and going forward from there.

A number cubed: x^3

The difference of a number cubed and one: x^3-1

And finally:

one-half of the difference of a number cubed and one, this would be one half of the expression we already found:

\frac{x^3-1}{2}

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Nora paid 36$ for 6 books. if each book cost the same amount, how much was each book?​
Fofino [41]

Answer:$6

Step-by-step explanation:Divide 36 by 6

6 0
3 years ago
Choose the expression that represents a cubic expression.
Anna007 [38]

Answer:

10x³ - 6x² - 9x + 12 is a cubic expression ⇒ 2nd

6x + 6 is a linear expression ⇒ 1st

5x² + 9x - 1 is a quadratic expression ⇒ 2nd

Quadratic expression ⇒ 1st

Step-by-step explanation:

* Lets explain the degree of any expression

- The degree of any expression is the greatest power of the variable

- Ex:

# 3x - 3 is a first degree expression

# x² - 3x + 2  is a second degree expression

# 5x³ - 2x² + 5x - 2 is a third degree expression

- The first degree expression is called linear expression

- The second degree expression is called quadratic expression

- The third degree expression is called cubic expression

* Lets solve the problem

∵ The cubic expression is the expression with greatest power of 3

∴ 10x³ - 6x² - 9x + 12 is the cubic expression

∵ The linear expression is the expression with greatest power of 1

∴ 6x + 6 is a linear expression

∵ The quadratic expression is the expression with greatest power of 2

∴ 5x² + 9x - 1 is a quadratic expression

∵ The expression is -2x² + 11

∵ The greatest power of x is 2

∴ -2x² + 11 is a quadratic expression

3 0
3 years ago
Read 2 more answers
What is the cube of 2?
zloy xaker [14]

Answer:

8

Step-by-step explanation:

Number x Square x2 Cube x3

2          4                       8

5 0
4 years ago
Read 2 more answers
6x – 3y = 8
Nat2105 [25]

Answer:

Step-by-step explanation:

<em>The linear equation where:</em>

\large \boldsymbol {}  \sf y=\underbrace{m}_{slope }x \ +\underbrace{b} _{y -intersept}

Solution :

\displaystyle \sf \#13. \\\\   6x-3y=8 \\\\\ -3y=8-6x \\\\y=-\frac{8-6x}{3}  \\\\ \boxed{\sf y=2x-2\frac{1}{3} }} \\\\ slope =2 \\\\ y-intersept  =-2\frac{1}{3} \\\\-------------      

 \sf \#14 . \\\\\\ 7x=5y+2 \\\\5y=7x-2 \\\\y =\dfrac{7x-2}{5}  \\\\ \boxed{\sf y=1,4x-0,4} \\\\slope = 1,4 \\\\y-intersept  =-0,4 \\\\---------------  

    \dispalystye \sf \#15. \\\\ -6y+4x=8  \  |\div2 \\\\-3y+2x=4 \\\\ y=-\dfrac{4-2x}{3}  \\\\ y=\boxed{\sf \frac{2x-4}{3} } \\\\slope = \dfrac{2}{3}  \\\\ y-intersept  = -\dfrac{4}{3 }\\\\ -----------------

\sf \#16   .\\\\ x+y=2x+3 \\\\y=2x-x+3 \\\\\boxed{\sf y=1\cdot x+3}  \\\\slope =1 \\\\y-intersept =3

4 0
2 years ago
The value of a painting recently sold at an auction is expected to increase in value over time. The function v(t)=12,000(1.15)^t
tensa zangetsu [6.8K]
This is an exponential equation with a starting value of 12000 and an increase of 15% each years.

The following are true:

C. Each year, it increases by 15%

E. The painting's value was 12,000 at the time is was sold.
8 0
3 years ago
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