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Aleksandr-060686 [28]
3 years ago
10

Which of the following is equal to the rational expression when x*-2 or 3? X^2 +5x+6 X^2-X-6

Mathematics
1 answer:
trasher [3.6K]3 years ago
7 0

Answer:

Step-by-step explanation:

x=-2, x=3

---------------

x^2+5x+6=(-2)^2+5(-2)+6=(-2)(-2)-10+6=4-10+6=-6+6=0

x^2+5x+6=3^2+5(3)+6=9+15+6=24+6=30

---------------------------------------------------------------

x^2-x-6=(-2)^2-(-2)-6=4+2-6=6-6=0

x^2-x-6=3^2-3-6=9-3-6=6-6=0

-----------------------------------------------------

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. Suppose you plan to make a box that will hold exactly 40 one-inch cubes. Give the dimensions (ex: 1in x 1in x 40in) of 3 possi
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Answer:

The dimensions of the three possible boxes are;

Box 1:  2 inches length by 4 inches width by 5 inches height

Box 2:  2 inches length by 2 inches width by 10 inches height

Box 3:  8 inches length by 1 inch width by 5 inches height

Step-by-step explanation:

The dimensions of the required box = 40 in³

Therefore, a box that will hold all the cubes will have a dimension given as follows;

Length, l × Width, w × Height, h = 40 in.³

We therefore, look for possible dimensions of l, w, h, however to make is faster, we note that l × w = base area, BA, hence we look for the factors 40 thus;

BA × h        ≡  l × w × h

8  × 5 = 40 ≡ 2 × 4 × 5 = 40

4 × 10 = 40 ≡ 2 × 2 × 10 = 40

8 × 5 = 40 ≡ 8 × 1 × 5 = 40

Hence we have our three possible boxes as follows;

Box 1: Length = 2 inches, width = 4 inches and height = 5 inches

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Box 3: Length = 8 inches, width = 1 inches and height = 5 inches.

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A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.

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Hence, since the coin and the dice are independent, the <em>probability </em>of winning is:

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The expected value is the <u>sum of each outcome multiplied by its respective probability</u>.

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A similar problem is given at brainly.com/question/24855677

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