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melomori [17]
3 years ago
7

What should n be if f (x) = x^n defines a polynomial function?

Mathematics
1 answer:
Aleks04 [339]3 years ago
3 0

9514 1404 393

Answer:

  a non-negative integer

Step-by-step explanation:

Powers of variables in a polynomial are whole numbers, that is, non-negative integers.

For f(x) to be a polynomial function, the value of n must be a whole number.

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12. Solve this equation for A: A ÷ 2 = 4
Sever21 [200]
<em>To find the answer, just do the inverse. That is, do 4×2. 4×2=8 and 8÷4=2. So A=8.</em>
4 0
3 years ago
Read 2 more answers
1/3(n 4)=9 how do you work this problem out
SIZIF [17.4K]
1/3(n4)=9
 I assume that it's a multiplication between n and 4
then solving the equation
4n= 9/1/3
4n= 27
n=27/4=6.75
4 0
3 years ago
The number 35 has the property that when its digits are both increased by 2, and
seropon [69]

Answer: The sum is 127

Step-by-step explanation:

A 2-digit number N = ab can be written as (where a and b are single-digit numbers)

a*10 + b.

Now, we want that:

(a + 2)*(b + 2) = a*10 + b.

So we must find all the solutions to that equation such that a can not be zero (if a = 0, then the number is not a 2-digit number)

We have:

(a + 2)*(b + 2) = a*b + 2*a + 2*b + 4 = a*10 + b

a*b + 2*b - b + 4 = a*10 - a*2

a*b + 4 + b = a*8

a*b + 4 + b - a*8 = 0.

Now we can give one of the variables different values, and see if the equation has solutions:

>a = 1:

1*b + 4 + b - 8 = 0

2*b - 4 = 0

b = 4/2 = 2

Then the number 12 has the property.

> if a = 2:

2*b + 4 + b -16 = 0

3b -12 = 0

b = 12/3 = 4

The number 24 has the property.

>a = 3 is already known, here the solution is 35.

>a = 4.

4*b + 4 + b - 8*4 = 0

5*b + 4 - 32 = 0

5*b = 28

b = 28/5

this is not an integer, so here we do not have a solution.

>if a = 5.

5*b + 4 + b - 8*5 = 0

6b + 4 - 40 = 0

6b - 36 = 0

b = 36/6 = 6

So the number 56 also has the property.

>if a = 6

6*b + 4 + b - 8*6 = 0

7b + 4 - 48 = 0

7b - 44 = 0

b = 44/7 this is not an integer, so here we do not have any solution.

>if a = 7

7*b + 4 + b -8*7 = 0

8b -52 = 0

b = 52/8 = 6.5 this is not an integer, so we here do not have a solution.

>if a = 8

8*b + 4 + b -8*8 = 0

9*b + 4 - 64 = 0

9*b = 60

b = 60/9 this is not an integer, so we here do not have any solution:

>if a = 9

9*b + 4 + b - 8*9 = 0

10b + 4 - 72 = 0

10b -68 = 0

b = 68/10 again, this is not an integer.

So the numbers with the property are:

12, 24, 35 and 56

And the sum is:

12 + 24 + 35 + 56 =  127

8 0
3 years ago
Solve −2x − 15 = 6x + 9.
Sindrei [870]

Answer: x=-3

Step-by-step explanation:

Given the equation:

-2x - 15 = 6x + 9

You must solve for "x" to find its value.

You can follow these steps:

- Add 2x to both sides of the equation:

-2x - 15+2x= 6x + 9+2x

- 15 = 8x +9

- Subtract 9 from both sides of the equation:

- 15-9 = 8x +9-9

-24 = 8x

- Divide both sides of the equation by 8. Then you get:

\frac{-24}{8}=\frac{8x}{8}\\\\x=-3

6 0
3 years ago
How do you find a remote interior angles of any triangle? I need help asap
dimaraw [331]
Interior means inside and exterior means outside. So all that applies are 5 and 2. Mark brainest plz
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3 years ago
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