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dezoksy [38]
3 years ago
15

9. Martika says factors and multiples are

Mathematics
1 answer:
Zarrin [17]3 years ago
3 0

Answer:

So the factors and multiples of 42 are 1, 2, 3, 6, 7, 14, 21, 42

Step-by-step explanation:

Factors are what you can multiply to get a number and a multiples are what you get after multiplication. We can determine the factors of 42. The multiples of 42 are:

1 x 42= 42

2 x 21= 42

3x 14 = 42

6 x 7 = 42

So the factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The multiples of 42 are 1,2,3,4,5,6 etc

So common multiples and factors are 1, 2, 3, 6, 7, 14, 21, 42

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Let P (n) be the statement that a postage of n cents can be formed using just 4-cent stamps and 7-cent stamps. The goal is to sh
natulia [17]

Complete Question

Let P (n) be the statement that a postage of n cents can be formed using just 4-cent stamps and 7-cent stamps. The parts of this exercise outline a strong induction proof that P (n) is true for n ≥ 18.

Show statements P (18), P (19), P (20), and P (21) are true, completing the basis step of the proof.

Answer:

P(18) is true

P(19) is true

P(20) is true

P(21) is true

Step-by-step explanation:

a. When n = 18

18 cents can be formed using two 7cents and one 4cents

i.e. 2 * 7 + 4 = 18

So, P(18) is true

b. When n = 19

19 cents can be formed using one 7cents and three 4cents

i.e. 1 * 7 + 3 * 4 = 19

So, P(19) is true

c. When n = 20

18 cents can be formed using five 4cents

i.e. 5 * 4 = 20

So, P(20) is true

d. When n = 21

18 cents can be formed using three 7cents

i.e. 3 * 7 = 21

So, P(21) is true

7 0
3 years ago
A single die is rolled. How many ways can you roll a number that is prime, followed by a 6?
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Answer:

3 ways

Step-by-step explanation:

Since 6 will remain constant throughout the testing, we just need to find all prime numbers 1-6.

1 - is not prime nor composite

2 - is prime

3 - is prime

4 - 2x2=4, so composite

5 - is prime

6 - 2x3=6, so composite

Therefore, 2, 3, and 5 are prime numbers, and there are 3 of them.

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3 years ago
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Step-by-step explanation:

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3 years ago
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IrinaVladis [17]

The solution to the given quadratic equation is;

x = -2 and x = 1/5

<h3>Roots of quadratic Equation </h3>

We are given the quadratic function;

(x + 2)(5x - 1) = 0

In quadratic functions, when it is expressed as;

(x + a)(x - b) = 0, what this means is that the factors of the quadratic equation or polynomial are; (x + a) and (x - b)

What that means is that the roots will be gotten from;

(x + a) = 0 and (x - b) = 0

Thus, applying the concept above on roots of a polynomial to our question, we have;

(x + 2) = 0 and 5x - 1 = 0

Solving them gives us;

x = -2 and x = 1/5

Read more on roots of quadratic equation at; brainly.com/question/8649555

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