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Zielflug [23.3K]
2 years ago
6

Perform the indicated operation (3x^3-2x^2+4x-3)(x+2)

Mathematics
1 answer:
Rus_ich [418]2 years ago
7 0

Answer:

3x^{4} + 4x³ + 5x - 6

Step-by-step explanation:

Given in the question is an expression

(3x³ - 2x² + 4x - 3)(x + 2)

Apply distributive law

(3x³ - 2x² + 4x - 3)(x) + (2)(3x³ - 2x² + 4x - 3)

3x^{4} - 2x³ + 4x² -3x + 6x³ - 4x² + 8x - 6

Rearrange the like terms

3x^{4} + x³(-2+6) +x²(4-4) +x(-3+8) - 6

3x^{4} + 4x³ + 5x - 6

After performing indicated operation the result is

3x^{4}+4x^{3}+5x-6

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Find all the zeros of the equation 12x^2-64=-x^4
Natalija [7]

Answer: all the zeroes of the above equation will be

(x-4)(x+4)(x-2)(x+2)

Step-by-step explanation:

Since we  have given that

12x^2-64=-x^4\\\\x^4+12x^2-64=0

We need to find the zeroes of the above equation.

So, we will use  "Split the middle terms" :

x^4+12x^2-64=0\\\\x^4+16x^2-4x^2-64=0\\\\x^2(x^2-16)-4(x^2-16)=0\\\\(x^2-4)(x^2-16)=0\\\\x^2-4=0\ or\ x^2-16=0\\\\\text{ "Using }a^2-b^2=(a+b)(a-b)"\\\\x^2-4=x^2-2^2=(x-2)(x+2)\\\\x^2-16=x^2-4^2=(x+4)(x-4)

So, all the zeroes of the above equation will be

(x-4)(x+4)(x-2)(x+2)

7 0
2 years ago
There are 100 freshman students at a school. The probability that a freshman plays a sport is 0.55. The probability that a fresh
Lina20 [59]

The probability that a freshman student at this school plays either a sport or a musical instrument is 0.74

Step-by-step explanation:

The addition rules in probability are:

  • P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen at the same time)
  • P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they have at least one outcome in common)

∵ The probability that a freshman plays a sport is 0.55

∴ P(sport) = 0.55

∵ The probability that a freshman plays a musical instrument is 0.34

∴ P(music) = 0.34

∵ The probability that a freshman plays both a sport and a musical

    instrument is 0.15

∴ P(sport and music) = 0.15

To find the probability that freshman student at this school plays either a sport or a musical instrument use the second rule above because it is non-mutually exclusive

∵ P(sport or music) = P(sport) + P(music) - P(sport and music)

∴ P(sport or music) = 0.55 + 0.34 - 0.15

∴ P(sport or music) = 0.74

The probability that a freshman student at this school plays either a sport or a musical instrument is 0.74

Learn more:

You can learn more about the probability in brainly.com/question/9178881

#LearnwithBrainly

5 0
2 years ago
Maria has 14 pencils, Ted has 9 pencils, Tom has 12 pencils, Lucinda has 13 pencils, and Jumana has 12 pencils. How can they red
Alisiya [41]

5 people.

14 + 9 + 12 + 13 + 12 = 60 total pencils.

60 pencils /  5 people = 12 pencils each.

7 0
2 years ago
Read 2 more answers
Which of the numbers below are some potential roots of p(x) = x3 + 6x2 − 7x − 60 according to the rational root theorem?
OlgaM077 [116]

Answer: -10,-5,3,15

A,C,D,E

The next one is a= -5, b=1, c=-5, d=-12

The last one is 3 & 4

4 0
2 years ago
The box-and-whisker plot below shows the age distribution of people at a family reunion. A box-and-whisker plot is shown. The nu
Setler79 [48]

Answer:

The answer is C

Step-by-step explanation:

got it right on edge

5 0
2 years ago
Read 2 more answers
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