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3 years ago

Do not need a explanation but would be nice!

Mathematics

1 answer:

djyliett [7]3 years ago

8 0

Answer: 5-35i

Step-by-step explanation:

I have no explanation. I'm sorry.

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The equation y=1/9x relates proportional quatities x and y. what is the value of x when y is 4?

drek231 [11]

An boy got no head

Step-by-step explanation:

5 0

2 years ago

Problems 2.21, 2.22, 2.23

RoseWind [281]

Statements can be proved by contrapositive, contradiction or by induction.

2.21 and 2.23 are proved by contrapositive
2.22 is proved by induction

2.21: If $n^3$ is even, then n is even (By contrapositive)

The contrapositive of the above statement is that:

If n is odd, then $n^3$ is odd

Represent the value of n as:

$n = 2k + 1$ , where $k \ge 0$

Take the cube of both sides

$n^3 = (2k + 1)^3$

Expand

$n^3 = 8k^3 + 6k^2 + 6k + 1$

Group

$n^3 =[ 8k^3 + 6k^2 + 6k] + 1$

Factor out 2

$n^3 =2[4k^3 + 3k^2 + 3k] + 1$

Assume w is an integer; where:

$w =4k^3 + 3k^2 + 3k$

So, we have:

$n^3 =2w + 1$

The constant term (i.e. 1) means that $n^3$ is odd.

Hence, the statement has been proved by contrapositive.

i.e. If n is odd, then $n^3$ is odd

2.22 $3n + 4$ is even, if and only if n is even

We have: $3n + 4$

Assume that: $n = 2k + 2$ for $k \ge 0$

So, we have:

$3n + 4 = 3(2k + 2) + 4$

Open bracket

$3n + 4 = 6k + 6 + 4$

$3n + 4 = 6k + 10$

Factorize

$3n + 4 = 2(3k + 5)$

The factor of 2 means that $3n + 4$ is even.

Hence, $3n + 4$ is even, if and only if n is even

2.22: $s \ne -1$ and $t \ne -1$ , then $s + t + st \ne -1$

To do this, we prove by contrapositive.

The contrapositive of the above statement is:

If $s = -1$ and $t=-1$ , then $s + t + st = -1$

We have:

$s + t + st = -1$

Substitute the values of s and t in: $s + t + st = -1$

$-1 -1 -1 \times -1 = -1$

$-1 -1 + 1 = -1$

$-1 = -1$

Hence, by contrapositive:

If $s = -1$ and $t=-1$ , then $s + t + st = -1$

Read more about proofs at:

brainly.com/question/19643658

7 0

3 years ago

good moring yall anyone know how to do this i have a idea but i think im wrong so anyone want to clear that up for me?

AlexFokin [52]

Answer:

good morning :)

the answer is 15

Step-by-step explanation:

because jayda found 5 and ruby found twice as her which means he found 10 and all they are asking you to do is add jayda's and ruby's sheashells togather

hope this helps <333

brainliest plz? :)

6 0

2 years ago

What is the area of the sail?

marishachu [46]

Area = 30 meters ^2

Area of a triangle is found by multiplying both sides and then dividing that answer by 2.

So 6 times 10 is 60, and 60 divided by 2 is 30.

3 0

3 years ago

Read 2 more answers

What is the graph of the function f(x) = the quantity of negative x squared minus 2 x minus 2, all over x minus 2

Serjik [45]

Answer:

use desmos and type in the equation to get the graph

Step-by-step explanation:

5 0

3 years ago