Answer:
31, 32, 33
Step-by-step explanation:
x + x + 1 +x + 2 = 96
3x + 3 = 96
-3 -3
3x = 93
/3 /3
x = 31
31 is the first number, so since they’re consecutive, the second two numbers are 32 and 33.
The factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).
<h3>What is a factor?</h3>
A factor of n is a number which when multiplied by another number gives us the number n.
In order to factorize the polynomial 6x³ – 12x² + 7x – 14, we need to take the common terms out of the given polynomial, therefore, the polynomial can be factorized as,
Taking the common term 6x² out from the first two terms, and then 7 from the next two terms, therefore, the polynomial can be written as
Hence, the factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).
Learn more about Factors:
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Step-by-step explanation:
The area of the triangular base is: 19
square units
How to calculate the base area
The given parameters are:
Volume = 27.36 cubic units
Height = 2.88 unit
The volume of a triangular prism is:
V = 0.5 * B *h
Where B represents the base area.
So, we have:
27.36 = 0.5 * B * 2.88
27.36 B * 1.44 -
Solve for B
B = 19
Hence, the area of the triangular base is: 19 square units
Correct option is E, like legends about other naval heroes, is
It does this by contrasting "this legend" with "legends about other naval heroes," so avoiding the mistake of the original. There is an unreasonable comparison in option (A). "This legend" is contrasted with "other naval heroes."
There is an agreement mistake in option (B). For the single subject "this legend," the plural verb "are" is used. There is an unreasonable comparison in option (C). "This legend" is contrasted with "other naval heroes." Choice (D) has an agreement mistake.
For the single subject "this legend," the plural verb "are" is used. Option E can be used to rewrite the sentence's highlighted portion. By contrasting "this legend" with "legends about other naval heroes," the inaccuracy is fixed. As a result, choice E is the right answer.
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