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hram777 [196]
3 years ago
7

Evaluate: 4(x - 9) + 4x

Mathematics
2 answers:
kvasek [131]3 years ago
8 0
8x-36 is the answer to this problem
ratelena [41]3 years ago
4 0
4(x-9)+4x
4*x-4*9+4x
4x-36+4x
(4+4)x-36
8x-36
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What is the smallest prime number p such that
Ne4ueva [31]

The smallest prime number of p for which p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.

<h3>What is the smallest prime number of p for which p must have exactly 30 positive divisors?</h3>

The smallest number of p in the polynomial equation p^3 + 4p^2 + 4p for which p must have exactly 30 divisors can be determined by factoring the polynomial expression, then equating it to the value of 30.

i.e.

  • p^3 + 4p^2 + 4p

By factorization, we have:

  • = p(p+2)²

Now, to get exactly 30 divisor.

  • (p+2)² requires to give us 15 factors.

Therefore, we can have an equation p + 2 = p₁ × p₂²

where:

  • p₁ and  p₂ relate to different values of odd prime numbers.

So, for the least values of p + 2, Let us assume that:

  • p₁ = 5 and p₂ = 3

p + 2 = 5 × 3²

p + 2 = 5 × 9

p + 2 = 45

p = 45 - 2

p = 43

Therefore, we can conclude that the smallest prime number p such that

p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.

Learn more about prime numbers here:

brainly.com/question/145452

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8 0
1 year ago
Write the fractional equivalent (in reduced form) of each number.
garik1379 [7]
0.1 = 1/10 

0.16 = 16/100 = 8/50 = 4/25 

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0/6 = 6/10 = 3/5 
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Answer:

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Step-by-step explanation:

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Answer:

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4w^2+9w=-2

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(w+1)(w+8)=0

(4w+1)(w+2)=0

w_1=-\frac{1}{4},w_2=-2}

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