How to solve this multistep inequality (3f+9<21)

Answers

Answer 1
Answer: 3f+9<21\ \ \ \  \ | subtract\ 9\n\n3f<12\ \ \ | divide\ by\ 3\n\nf<4\n\nSolution\ is\ f\in(-\infty,4)

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A bag contains 4 blue, 4 red, and 4 green marbles. Four marbles are drawn at random from the bag. How many different samples are possible which include exactly two red marbles?

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you make a tree diagram to find the possible outcomes, which there are 81 possible outcomes, 24 of which have exactly 2 red in them.

How do I work out this problem, How many ways can the letters in the word "WISCONSIN" be arranged?

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This is a typical case of permutation of elements

Formula is:

\boxed{P_n=n!}

Permutation of n elements is equal to n!

So:

P_9=9!=362,880 \ ways

Which of the following is a example of perpendicular lines

Answers

The correct option is D.

Important information:

  • Each graph has two lines.

Perpendicular lines:

Two lines are called perpendicular lines if the angle between those lines at the intersection point is 90 degrees.

In option A, the lines are parallel because they have the same direction and slope.

In option B, if we increase the lines, then they can not make a 90-degree angle.

In option C, the lines are not making a 90-degree angle.

In option D, the lines are perpendicular because they are making a 90-degree angle.

Therefore, the correct option is D.

Find out more about 'Perpendicular lines' here:

brainly.com/question/2096532

Its option D. the first is parallel and the rest two will intersect at a point but not at 90 degree. Since, in the fourth one, the lines meet at 90 degree, it is a perpendicular line

Does anyone know what's the answer for this question ???

Answers

I'm not sure, but I am with u  i say C

Factor completely 10x5 + 4x4 + 8x3.Prime
2(5x5 + 2x4 + 4x3)
2x3(5x2 + 2x + 4)
2x(5x4 + 2x3 + 4x2)

Answers

Answer:

The second option is correct.

Step-by-step explanation:

The given expression is

10x^5+4x^4+8x^3

The factors of first term is

10x^5=2* 5* x* x* x* x* x

The factors of second term is

4x^4=2* 2* x* x* x* x

The factors of third term is

8x^3=2* 2* 2* x* x* x

The common factors are 2,x,x and x, therefore the greatest common factor is 2x^3.

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

Therefore the second option is correct.

10x^5 + 4x^4 + 8x^3
2x^3 ((10x^5)/(2x^3) + (4x^4)/(2x^3) + (8x^3)/(2x^3))
2x^3(5x^2 + 2x + 4)

The answer is: 2x^3(5x^2 + 2x + 4).

Convert the polynomial equation y=(x+2)(x-6)(x+7) from factored form to general form

Answers

y = (x+2)(x-6)(x+7)

(x+2)(x+7)
x^2 - 6x + 2x - 12
x^2 - 4x - 12

(x^2 - 4x - 12)(x + 7)
x^3 + 7x^2 - 4x^2 - 28x - 12x - 84
x^3 + 3x^2 - 40x - 84

y = x^3 + 3x^2 - 40x - 84

y = (x + 2) (x -6) (x + 7) \n \n i.e, y = (x+2) (x^2 - x - 42) \n\n => y = x^3 + 3x^2 - 40x - 84