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3 years ago

HELP PLZZ!!! I'LL GIVE BRAINYLEST!!!!!!! I BEEGG YOUU!!!! ANY THING!! PLZ GET THIS RIGHT!!!! 10 POINTS!!!!!!

Mathematics

2 answers:

padilas [110]3 years ago

6 0

Answer:

Step-by-step explanation:

(x^2+3x-4)+(2x^3-2x+5)

2x^3+x^2+x+1 so A

lubasha [3.4K]3 years ago

4 0

Answer:

A. 2x to the power of 3 plus x to the power of 2 plus x plus 1

Step-by-step explanation:

$2x^3+x^2+x+1$

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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

Find the product. y4 · y6

Vanyuwa [196]

Answer:

$y^{10}$

Step-by-step explanation:

I am assuming that you mean $y^4*y^6$ .

$y^4*y^6\\\text {Apply the product rule: } a^n*a^m =a^{n+m}\\4 + 6 = 10\\\text {Therefore,}\\\boxed {y^4*y^6 = y^{10}}$

Brainilest Appreciated.

4 0

3 years ago

Read 2 more answers

C L 6.1.3 Quiz: Exponents Question 4 of 10 Which of the following is equal to divide 9•4

Temka [501]

Answer:

36 ÷ 9= 4

Step-by-step explanation:

9 x 4= 36

The division equation for this is 36 ÷ 9= 4

5 0

3 years ago

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Help me with problems 39 a-d

BabaBlast [244]

A) -4
d) -3.1
for these questions you have to subtract the two numbers since they have different signs and the biggest sign is the ending sign

8 0

3 years ago

Read 2 more answers

Write an equation of the line that passes through (2001, 35) and (2004.5, 16.1 ) points

Allisa [31]

Answer: If you are looking for Slope-Intercept form (y=mx+b), It would be...

y=-5.4x+10840.4.

If you are looking for Point-Slope form, it would be...

y=-5.4x+10840.4.

Step-by-step explanation: Write in Slope-Intercept from, y=mx+b.

Point-Slope form : Use the Point-Slope formula, y-y1=m(x-x1) to find the equation of the line.

I hope this helps you out! ☺

7 0

3 years ago