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Anna [14]
3 years ago
11

The answers to (a)-(d) work is not needed just answers

Mathematics
1 answer:
Debora [2.8K]3 years ago
6 0
A)  n(a) = 25 + 15 = 40
b) n(b) = 42+15 =57
c) n (a U b) = 25 +15+ 42 = 82 
d) n (a') = 42
e) n(b') = 25
f)  n(a intersection b)' =  82-15 = 67 
g) n (a U b)' =     14 
h)  n (a'  intersection  b') =  14
i)  n (a' U b') = 42 + 25 +14 = 81 


hope i helped a bit .. :-)
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f\left(x\right)=x^3-6x^2+3x+10 is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.

Step-by-step explanation:

Given the function

f\left(x\right)=x^3-6x^2+3x+10

As the highest power of the x-variable is 3 with the leading coefficients of 1.

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solving to get the zeros

f\left(x\right)=x^3-6x^2+3x+10

0=x^3-6x^2+3x+10              ∵  f(x)=0

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Factor\:x^3-6x^2+3x+10\::\:\left(x+1\right)\left(x-2\right)\left(x-5\right)=0

so

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Using the zero factor principle

if  ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

x+1=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0

x=-1,\:x=2,\:x=5

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x=-1,\:x=2,\:x=5

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