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Elodia [21]
4 years ago
10

Simplify completely the quantity 4 times x to the third power plus 5 times x to the 2nd power plus 3 times x all over x. (2 poin

ts) 4x2 + 5x + 3 the quantity 4 times x to the 2nd power plus 5 times x plus 3 all over x 4x2 + 5x2 + 3x 4x4 + 5x3 + 3x2
Mathematics
1 answer:
ikadub [295]4 years ago
8 0

Answer:   4x² + 5x + 3

<u>Step-by-step explanation:</u>

\dfrac{4x^3+5x^2+3x}{x}\\\\\\=\dfrac{x(4x^2+5x+3)}{x}\qquad \text{factored out the common term from the numerator}\\\\\\=4x^2+5x+3\qquad \text{canceled out x from numerator and denominator}

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An ordinary Fair die is a cube with the number 1 through 6 on the sides (represented by painted spots). imagine that such a die
aleksandrvk [35]

Event A Answer: \frac{5}{12}

<u>Step-by-step explanation:</u>

sum greater than 7 leaves are the following combinations for 8, 9, 10, 11, and 12:

8 = 26, 35, 44, 51, 62  (5 possibilities)

9 = 36, 45, 54, 63  (4 possibilities)

10 = 46, 55, 64  (3 possibilities)

11 = 56, 65  (2 possibilities)

12 = 66  (1 possibility)

This is a total of 15 possibilities out of 36 total: \frac{15}{36} = \frac{5}{12}

***********************************************************************************

Event B Answer: \frac{1}{2}

<u>Step-by-step explanation:</u>

sum is an even number means both dice are odd or both dice are even.  That results in the following combinations:

11   13  15

22  24  26

31  33  35

42  44  46

51  53  55

62  64  66

This is a total of 18 possibilities out of 36 total: \frac{18}{36} = \frac{1}{2}

7 0
3 years ago
What is x-y=8 in slope intercept form
iris [78.8K]

Answer:

y = x-8

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

x-y = 8

Subtract x from each side

x-y-x = -x+8

-y = -x+8

Divide each side by -1

-y/-1 = -x/-1 +8/-1

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5 0
4 years ago
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Simplify the following:

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Grouping like terms, 6 a b - 3 x + 2 a b = -3 x + (6 a b + 2 a b):

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Answer:  -3 x + 8 a b

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