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Vedmedyk [2.9K]
3 years ago
7

10 less than twice a number cubed?

Mathematics
2 answers:
9966 [12]3 years ago
3 0
Let say the number is 2 and 2 cubed is 4 so it is -6
xxMikexx [17]3 years ago
3 0
X represents the number so x times 2 = x-10
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In Problems 23–30, use the given zero to find the remaining zeros of each function
Talja [164]

Answer:

x =  2i, x = -2i and x = 4 are the roots of given polynomial.

Step-by-step explanation:

We are given the following expression in the question:

f(x) = x^3 - 4x^2+ 4x - 16

One of the zeroes of the above polynomial is 2i, that is :

f(x) = x^3 - 4x^2+ 4x - 16\\f(2i) = (2i)^3 - 4(2i)^2+ 4(2i) - 16\\= -8i+ 16+8i-16 = 0

Thus, we can write

(x-2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Now, we check if -2i is a root of the given polynomial:

f(x) = x^3 - 4x^2+ 4x - 16\\f(-2i) = (-2i)^3 - 4(-2i)^2+ 4(-2i) - 16\\= 8i+ 16-8i-16 = 0

Thus, we can write

(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Therefore,

(x-2i)(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16\\(x^2 + 4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Dividing the given polynomial:

\displaystyle\frac{x^3 - 4x^2 + 4x - 16}{x^2+4} = x -4

Thus,

(x-4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

X = 4 is a root of the given polynomial.

f(x) = x^3 - 4x^2+ 4x - 16\\f(4) = (4)^3 - 4(4)^2+ 4(4) - 16\\= 64-64+16-16 = 0

Thus, 2i, -2i and 4 are the roots of given polynomial.

4 0
3 years ago
Kent has paid a total of $589 For internet service. Each month of service cost $19. How many months, m, of internet service has
max2010maxim [7]

Answer:

31 months

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
What value of x is in the solution set of 3(x – 4) ≥ 5x + 2? <br><br> –10<br> –5<br> 5<br> 10
emmasim [6.3K]

<u>Answer:</u>

The value of x is in the solution set of 3(x – 4) ≥ 5x + 2 is -10

<u>Solution:</u>

Need to determine which value of x from given option is solution set of 3(x – 4) ≥ 5x + 2

Lets first solve 3(x – 4) ≥ 5x + 2

3(x – 4) ≥ 5x + 2

=> 3x – 12 ≥ 5x + 2

=> 3x – 5x ≥ 12 + 2

=> -2x ≥ 14

=> -x ≥ 7

=> x ≤ -7

All the values of x which are less than or equal to -7 is solution set of 3(x – 4) ≥ 5x + 2. From given option there is only one value that is -10 which is less than -7  

Hence from given option -10 is solution set of 3(x – 4) ≥ 5x + 2.

7 0
3 years ago
Read 2 more answers
I need help with this
Paha777 [63]

Answer:

SEx

Step-by-step explanation:

sex sex sex and i has sex

7 0
3 years ago
Convert 5.764764764 … to a rational expression in the form of a over b, where b ≠ 0
zubka84 [21]
I just learned a short time ago how to convert a repeating decimal to a fraction.

-- Take the repeating part of the decimal.  In this one, it's '764' .

-- Make a fraction out of it by writing it over the same number of 9s.

       The fraction here is        764/999 .

-- Simplify it if possible and if you feel like it.

         764/999 can't be simplified.  (I think.)

So the rational expressions for this decimal are

           (5 and 764/999)     or     5759/999   .
3 0
3 years ago
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