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3 years ago

Pls solve this...need help thanks :)

Mathematics

2 answers:

WINSTONCH [101]3 years ago

7 0

Step-by-step explanation:

2² * 3 * 5 = 4 * 3 * 5 = 60.

3² * 5² = 9 * 25 = 225.

Alexxx [7]3 years ago

4 0

Answer:

A) 60

B) 225

Step-by-step explanation:

A) The factorization of a number is finding the factors that, when multiplied together, form the original number. As an example, one instance of the factorization of 24 would be 6 and 4, since 6 × 4 = 24.

The prime factorization of a number is finding the factors of a number and restricting them to only include primes, which are numbers with no other factors except themselves and 1.

Hence, all you have to do for A) is to multiply all the factors together, which is $2^{2} \cdot 3 \cdot 5$ , which equates to 60.

B) Since this three-digit number has 5 as a prime factor, it has to end in a 5 or 0. This narrows our search hugely.

Accounting for the fact it has a 3 as a prime factor, the number has 3 × 5 = 15 as a factor. This yet again narrows our search hugely.

Finally, to find the square number, there is actually a really simple way of doing this; simply square 15 to get 225. We can confirm this is a square number because we squared 15 to get that number; hence, 225 is an answer.

Hope this helped!

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Zzyzx Road is in California near Nevada. How many five-letter arrangements of the letters in the English alphabet follow Zzyzx a

Gemiola [76]

This problem can be solved using the concepts of permutation.

Zzyzx is the word. It has five letters. It asked as to how many five-letter arrangements of the letters in the English alphabet follow Zzyzx alphabetically.

Take note: <span>alphabetically
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The two remaining five-letter after Zzyzx are Zzyzy and Zzyzz.
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7 0

3 years ago

admissions to a carnival is $5 and each game at the carnival costs 0.85 you have $15 to spend on admissions and games what is th

prisoha [69]

You have $15 and admission is $5, so you know have $10 before doing any games. If you wanted to play 12 games, you would need $10.20, which you do not have. But, if you wanted to play 11 games, then you would need $9.35, which is just under $10.

So the maximum amount of games that you could play would be 11 games.

8 0

3 years ago

Please explain I don’t I understand help

djyliett [7]

Answer:

Step-by-step explanation:

f (x) = (5(-4)) + a) (3/5 + 4) ( 6 + b)

f (x) = (-20 + a) (6 2/5) (6 + b)

f ( -20 ) = -20 + -20 (a) (6 2/5) (6 + b)

f ( -20 - 6 2/5 ) = (a) (6 2/5 -6 2/5) (6 + b)

f (-26 2/5 - 6 ) = (a) (6-6 +b)

f (-32 2/5-6) = (a) (b)

4 0

2 years ago

Describe how both the Rational Root Theorem and Descartes’ Rules of Signs help you to find the zeros of a polynomial? Give me an

MrRa [10]

Answer:

Step-by-step explanation:

Rational Root Theorem: If the polynomial

P(x) = a n x n + a n – 1 x n – 1 + ... + a 2 x 2 + a 1 x + a 0

has any rational roots, then they must be of the form of (factors of a0/factors of an).

Example: F(x) = 4x² + 5x +2

If this polynomial has any rational roots, then they must be (factors of 2)/(factors of 4), so (±1, ±2)/(±1, ±2, ±4). So if this polynomial has any rational roots, they must be either: ±1, ±1/2, ±1/4, or ±2. Notice that this polynomial doesn't have to have any rational roots, but if it does, then the roots must fit the Rational Root Theorem.

Descartes' Rules of Signs:

a). In a polynomial, how many time the sign changes is how many positive roots the polynomial will have.

Example: 5x³ + 6x² - 2x - 1

In this expression, the sign only changed once, between 6x² and 2x, so it will only have one positive root.

Example 2: 6x³ - 4x² + x - 6

In this expression, the sign changed 3 times (remember there is a invisible "+" sign before the 6x³), so it will have 3 positive roots.

b). In a polynomial, if you plug in "-x" for all "x", then how many times the new polynomial changes sign is how many negative roots the old polynomial have.

Example: 5x³ + 6x² - 2x - 1.

If we plug in "-x" for all "x", then we get 5(-x)³ + 6(-x)² - 2(-x) -1, which simplifies to -5x³ + 6x² + 2x -1. In this new expression, the sign changed twice, so we have two negative roots for the expression. Notice how we got one positive root the first time and two negative roots the second time, and 1 + 2 = 3. The Fundamental Theorem of Algebra states that for a nth degree polynomial, it will have n complex roots. The polynomial we worked with was a 3rd degree polynomial, and we got 1 + 2 = 3 roots in the end.

4 0

3 years ago

-38/-8 plz help me plz

Bad White [126]

Answer:

(-38) / (-8)

equals 4.75

a negative divided by a negative is always a positive

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Pls solve this...need help thanks :)​

Pls solve this...need help thanks :)