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zmey [24]
2 years ago
14

What is the inverse of f(x) = one-third x + 2?

Mathematics
1 answer:
prohojiy [21]2 years ago
6 0

Answer:

D

Step-by-step explanation:

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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
Can someone please help?
Shalnov [3]

Answer:

c. 50

Step-by-step explanation:

count each full block and every block that is more than half full as 1 each, ignore every block that is less than half full.

I got exactly 50 using this method before looking at the available answers.

In multiple choice math problems try to ignore the possible answers until you have determined what you think it ought to be.  If the answer you found is in the list you have more confidence you are right, if the answer you got is not in the list you know you did something wrong... just a hint :)

4 0
3 years ago
I need help with this .....
insens350 [35]

Answer:

6.5 hours

Step-by-step explanation:

hope this helped u bye

4 0
3 years ago
Evaluate n/6 + 2 when n=12
WINSTONCH [101]
12/6 is 2

2 +2 is 4

The overall answer is 4
3 0
3 years ago
Read 2 more answers
Drag numbers to complete the table for missing values of x, x2, x3
tresset_1 [31]
Top row is x= 10, x^2 =100, x^3 = 1000
Bottom row is 5, 25, 125
5 0
3 years ago
Read 2 more answers
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