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sdas [7]
3 years ago
15

Which one is polynomials NOT closed under?

Mathematics
1 answer:
Monica [59]3 years ago
8 0
If one polynomial had equation P = x^2 + 2 and a second polynomial had equation Z = x^3 - 3, then when you find the quotient of P and Z, you get a variable term of 1/x.  1/x cannot be a term in a polynomial.

Polynomials are NOT closed under the operation of division.  (D)
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Use a transformation to solve the equation. f – 12 = –35 A. f = –47 B. f = –23 C. f = 23 D. f = 47
andrew-mc [135]
F – 12 = –35

Here, we must solve for f

f - 12 = -35
   +12    +12

f = -35 + 12
f = -23

Answer: f = -23
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Answer:

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Answer:

y =  \frac{1}{2} x +  \frac{1}{2}

Step-by-step explanation:

equation of line formula:

y = mx + c

m = slope

c = y-intercept

1) find m

slope formula:

m =   \frac{ y_{2} -  y_{1} }{ x_{2} -  x_{1}}

take 2 coordinates from the given graph and substitute the values into the slope formula

i) (-1,0)

x _{1} =  - 1

y_{1} = 0

ii) (3,2)

x_{2} = 3

y_{2} = 2

substitute the values into the slope formula

m =  \frac{2 - 0}{3 - ( - 1)}

m =  \frac{2}{4}

m =  \frac{1}{2}

2) find the half equation of the line by substituting the value of m into the equation of line formula

y =  \frac{1}{2} x + c

3) find c by substituting either coordinate into the half equation

(3,2)

x = 3

y = 2

2 =  \frac{1}{2} (3) + c

2 =  \frac{3}{2}  + c

2 -  \frac{3}{2}  = c

\frac{1}{2} = c

c =  \frac{1}{2}

4) find equation of line by substituting the value of c into the half equation

y =  \frac{1}{2} x +  \frac{1}{2}

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