Answer:
3x2 + 2x - 63x2 + 2x - 6
Step-by-step explanation:
<h3>
Answer: one sixth (choice B)</h3>
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Explanation:
The probability of getting heads is 1/2 because there's one side we want out of two sides total
The probability of getting less than 3 is 2/6 = 1/3 since we have two sides we want (rolling a "1" or a "2") out of six sides total.
Multiply the two mentioned fractions: 1/2 times 1/3 = 1/6
1/6 can be written as "one sixth", but I prefer the first format better since it's shorter.
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If you are a visual learner, you can make a table with 2 rows and 6 columns, or vice versa (6 rows and 2 columns). The order doesn't matter.
The two rows represent the events Heads or Tails. The 6 columns show the different outcomes on the number cube. We have 6*2 = 12 different outcomes of rolling a die and flipping a coin.
Of those 12 outcomes, shade in 2 boxes to represent getting heads and either a "1" or "2". Refer to the diagram below.
We have 2 shaded rectangles out of 12 total to get 2/12 = 1/6
The visual representation of a table like this may help show why we multiplied the fractions 1/2 and 1/3 to get the answer. Hint: think of area = length*width.
Answer:
(5x − 6) (7x + 2)
Step-by-step explanation:
35x² − 32x − 12
Using AC method:
35 × -12 = -420
Factors of -420 that add up to -32: -42 and 10
Divide by 35 and reduce: -42/35 = -6/5, 10/35 = 2/7
Factors are (5x − 6) and (7x + 2).
35x² − 32x − 12 = (5x − 6) (7x + 2)
Answer:
0.3 cm
Step-by-step explanation:
1 cm = 10 mm
1) Using proportion:
1 cm ----- 10 mm
x cm ----- 3 mm
x = 1 cm * 3 mm/10 mm = 0.3 cm
2) 3 mm * 1cm/10mm = 0.3 cm