Simplify (8j^3-10j^2-7)-(6j^3-10j^2-j+12)

Answers

Answer 1

Answer: The first step for solving this expression is to remove the first set of parenthesis.
8j³ - 10j² - 7 - (6j³ - 10j² - j + 12)
When there is a "-" sign in front of the parenthesis,, you must change the sign of each term in the parenthesis. This will look like the following:
8j³ - 10j² - 7 - 6j³ + 10j² + j - 12
Eliminate the opposites in the expression
8j³ - 7 - 6j³ + j - 12
Collect the first set of like term (ones with j³)
2j³ - 7 + j - 12
Calculate the difference between basic numbers
2j³ - 19 + j
Lastly,, use the commutative property to reorder the terms
2j³ + j - 19
Since you cannot simplify this expression any further,, the correct answer to your question is 2j³ + j - 19.
Let me know if you have any further questions
:)

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What is the GCF of 28a^3 b and 16ab ?

A)4ab
B)4a3b
C)28ab
D)112a3b2

Answers

28a⁴b: 2 · 2 · 7 · a · a · a · a · b
16ab: 2 · 2 · 2 · 2 · a · b

GCF(28a⁴b, 16ab) = 4ab

The answer is A.

Find the solutions to sin2(x) + cos(x) = 1, keeping 0 ≤ x < 2π

Answers

sin2(x) +cos(x)=1
from the relation: (sin2(x) +cos2(x) =1 )
so , sin2(x)=1-cos2(x)
by subs. in the main eqn.
1-cos2(x) + cos(x) =1
by simplify the eqn.
cos(x) -cos2(x)=0
take cos(x) as a common factor
cos(x)* (1-cos(x))=0
then cos(x)=0 && cos(x)=1
cos(x)=0 if x= pi/2
& cos(x) = 1 if x = 0 , 2*pi
so the solution is x= {0,pi/2 , 2*pi}

Answer:

Which statements did you include in your answer?

Isolate sin(x) by adding 4 and taking the square root of both sides.

State that sin(x) = 2 or sin(x) = –2.

State that –2 and 2 are undefined values of the inverse sine function.

There are no solutions because –2 and 2 are not in the domain of the function.

Step-by-step explanation:

How do you put this in simplest form?

Answers

Ok so this is a polynomial we are solving for so in this example we will have to set it up in box method and when I say that I mean 2x+7 on top and on the side or left hand side will be 3x-5 so lets solve so 2x times 3x is 6x^2 then on the right hand side we know 7 times 3x is 21x. Let's move on to the box on the bottom so now lets multiply 2x times -5 which is -10x then the last box we will have to multiply 7 times -5 is -35. So now we have to combine like terms which means combining the x's and the constants . So we leave 6x^2 alone and add -10x + 21x so since they have different signs we subtract which would result in 11x . Our final answer should be 6x^2+ 11x-35. Hoped this helped !! and remember to do the box formula to get credit

(2x+7)-(3x-5) you first distribute the negative sign to the 3x-5, making the expression 2x+7-3x+5, which simplifies to -x+12

Helllllllllllllllllllllllllllllllllllllpppppppppppppppp with this plssssss

Answers

Answer:

D) 3x-36

Step-by-step explanation:

Multiply using the distributive property

Answer:

-3x-36

Step-by-step explanation:

Which of the binomial below is a factor of this trinomial? 2x^3-18x^2+40xa) 2x+5
b)x+5
c)x-5
d)2x-5

Answers

2x^3 - 18x^2 + 40x

2x(x^2 - 9x + 20)

2x(x - 5)(x - 4)

Answer is c) x - 5

$2x^3 - 18x^2 + 40 \n \n ( 2x:common);\n => 2x(x^2 - 9x + 20) \n \n (factoring:x^2-9x+20)\n\n =>(2x)(x-5)(x-4) \n \n => Answer:(C):(x-5)$

If a certain medicine cures 90% of the people who take it, what is the probability that if 9 people take the medicine that 6 will be cured?A) 0.01
B) 0.02
C) 0.04
D) 0.33

Answers

This is an example of binomial distribution probability. The probability that a person gets cured by the medicine (p) is 90% or 0.9. The probability that a person does not get cured by the medicine (q) is 100 - 90 = 10% = 0.1. The probability of a binomial distribution is given by nCx (p)^x (q)^(n - x); where n is the sample size, x is the number of success, p is the probability of success, and q is the probability of failure. Therefore, the probability that out of 9 people that takes the medicine, 6 will be cured is given by 9C6 (0.9)^6 (0.1)^3 = 84 x 0.531441 x 0.001 = 0.0446. Therefore, option C (0.04) is the correct answer.

option C (0.04) is the correct answer

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