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Bezzdna [24]
3 years ago
7

Please help. Click to view picture. Algebra question. HELP ME PLEASE ASAP

Mathematics
1 answer:
faltersainse [42]3 years ago
5 0
First you know you'll divide by -2, so the sign will be flipped. 
That eliminates the first and second options, then you'll just have to do math.

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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

#SPJ1

8 0
1 year ago
The length of one leg of an isosceles right triangle is 7 units. What is the length of the hypotenuse?
Westkost [7]
Given that the hypotenuse of the isosceles right triangle
=
14
,
⇒
the length of each leg
=
14
√
2
=
7
√
2
Check :
(
7
√
2
)
2
+
(
7
√
2
)
2
=
196
=
14
2
(OK)
5 0
3 years ago
Help ASAP!!!!
lukranit [14]

Answer:

$0.23 or D

Step-by-step explanation:

Edg :)

5 0
3 years ago
Read 2 more answers
Is this multiplication? Can you also help me with the answer!?
vredina [299]

Answer:

84,375 m^2

Step-by-step explanation:

We need to find the surface area of the pyramid. The pyramid can be divided into 4 triangles and one square (the bottom).

Area of a triangle is 1/2*b*h where b is the base of the triangle and h is the height.

Area of a square is length times width.

Total area = 4\times(\frac{1}{2}\times 225 \times 75)+225\times225 = 84375 m^2

3 0
3 years ago
Pls need answer fast
galina1969 [7]

Answer:

B

Step-by-step explanation:

The answer is B

5 0
3 years ago
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