Answer: 7
Step-by-step explanation:
Answer:
(−4x+1)(2x+3)
Step-by-step explanation:
Factor −8x^2−10x+3
−8x^2−10x+3
=(−4x+1)(2x+3)
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Answer:
d. 3x + 6 = 26
Step-by-step explanation:
<u>Definitions</u>
- Integer: a whole number that can be positive, negative or zero.
e.g. ..., -3, -2, -1, 0, 1, 2, 3, ... - Even number: an integer that is exactly divisible by two. For example, 2, 4, 6, 8 are all positive even numbers.
- Consecutive: following one after the other in order.
<u>The sum of three consecutive even integers</u>
Let x be the first even integer.
As there is a <u>difference of 2</u> between <u>consecutive even integers</u>, the next even integer after x will be (x + 2).
Therefore, the next even integer after (x + 2) will be (x + 2) + 2 = (x + 4).
So "the sum of three consecutive even integers is twenty-six" is:
x + (x + 2) + (x + 4) = 26
<u>To solve</u>
⇒ x + (x + 2) + (x + 4) = 26
⇒ x + x + 2 + x + 4 = 26
⇒ 3x + 6 = 26
(Please note that there are no three consecutive even integers that sum to 26, so the problem cannot be solved).
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Answer:
This is a deductive reasoning.
Step-by-step explanation:
Every statement like 60 seconds are in a minute, and 60 minutes are in a hour, and 24 hours are in a day is a premise. The conclusion is that there are 86,400 seconds in a day, which comes from: 24 hours / day * 60 minutes / hour * 60 second / minute = 86,400 second / day.
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