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Stels [109]
4 years ago
13

Simplify (x2 + 3x)(x2 - x +4)

Mathematics
1 answer:
umka21 [38]4 years ago
8 0

Answer:

x⁴ +2x³ + x² + 12x

Step-by-step explanation:

(x² + 3x)(x² - x +4)

=  x²(x²) - x(x²) + 4(x²)  + x²(3x) - x(3x) + 4(3x)

= x^4 - x³ + 4x² + 3x³-3x²+12x

= x⁴ +2x³ + x² + 12x

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Let Z={a,c,{a,b}}. What is |Z|?
Lina20 [59]

Z=\{a,c,\{a,b\}\}

\boxed{|Z|=3} (treat \{a,b\} as one element of Z)

The power set of Z is

\boxed{2^Z=\bigg\{\{\},\{a\},\{c\},\big\{\{a,b\}\big\},\{a,c\},\big\{a,\{a,b\}\big\},\big\{c,\{a,b\}\big\},\big\{a,c,\{a,b\}\big\}\bigg\}}

1. \{a,c\}\subseteq Z is true because both a\in Z and c\in Z.

2. a\in Z is true.

3. \{c\}\subseteq Z is true (same reason as part 1).

4. \{c\}\in Z is false because Z does not contain the set \{c\}, rather just the element c itself.

5. b\in Z is false because the element b on its own simply is not in Z. That b\in\{a,b\} does not mean b\in Z, but that b belongs to a subset of Z.

6. \{a,b\}\in Z is true.

6 0
4 years ago
Please help me I don't understand this
DanielleElmas [232]

Answer:

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Step-by-step explanation:

learn how to do it

5 0
3 years ago
Read 2 more answers
Can someone use FOIL for this? pls help
Reptile [31]

Answer:

xy^4+2x^3y^2+xy

Step-by-step explanation:

shown above. Hope this helps :]

8 0
3 years ago
Gold
Digiron [165]

Answer:

The 2nd case is the better value

Step-by-step explanation:

                                                       £11.45

Case 1:  That would be £11.45 + -------------- for the two shirts.  This comes

                                                             2

out to 1.5(£11.45) = £17.175 for two shirts.

Case 2:  Two shirts for £10.16 each comes out to £20.32; multiplying that by (1.00 - 0.20), or (0.80) results in (0.80)(£20.32) = £16.256.

The 2nd case is the better value, as one would get 2 shirts for £16.26, versus 2 shirts for £17.18 in the other case.

6 0
3 years ago
What two prime numbers equal 85 when added together?
k0ka [10]

I started out trying to subtract a prime number from 85, and then
see whether I had a prime number remaining.  I did this several
times, before I slapped myself upside the head.

-- 85 is an odd number. 

-- To get an odd-number for a sum, you have to add one odd number
to one even number ... there's no other way.

-- So one of the prime numbers we're looking for must be
     an even number.

-- The ONLY even number that's a prime number is ' 2 '.
     So it must be one of them.

-- Subtract 2 from 85, and you have 83 left.
     Is 83 a prime number ?  Yes. 

-- So the two numbers are  2  and  83.

If 83 were not a prime number, this wouldn't work, and I would have said
"There is no such pair of numbers.".  That means it doesn't necessarily work
for every odd number.

Examples:

75  ===>  2 and 73 . \
55  ===>  2 and 53 .  \
45  ===>  2 and 43 .   \
                                     Both primes.  It works.

65  ===>  2 and 63 .  63 is not a prime. \
35  ===>  2 and 33 .  33 in not a prime.  \
                                                                   It doesn't work.

5 0
4 years ago
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