The answer is no solution because when you solve the equation
3(x+4)=3x+4
3x +12=3x +4
-3x -3x
You get an answer of 12=4 which is not true so there cannot be a solution to this equation
The answer is A no solution
Answer:
0 & 1
Step-by-step explanation:
3(1 + x) < x + 6
Distribute
3x+3 < x+6
Subtract x from each side
3x+3-x < x+6-x
2x+3 <6
Subtract 3 from each side
2x+3-3 <6-3
2x <3
Divide each side by 2
2x/2 <3/2
x <3/2
Answer:
Step-by-step explanation:
Given
Required
Rewrite and identify a, b and c
The required form is:
Equate both expressions
Rewrite as:
Compare the expressions on either sides
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.
By factorization, we have:
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:
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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Answer:
here my answer
Step-by-step explanation:
hope this helps
