Answer:
Step-by-step explanation:
f'(x)=-2x+7
f(x) is decreasing if '(x)<0
so -2x+7<0
or 7<2x
or 2x>7
or x>7/2
including end points f(x) is decreasing in [3/2,∞)
Answer:
c) 255
Step-by-step explanation:
d isn't divisible by 5 and both a and b aren't divisible by 3
Answer:898
Step-by-step explanation:
Answer:
10x² - 8x - 24
Step-by-step explanation:
Given
(2x - 4)(6 + 5x)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(6 + 5x) - 4(6 + 5x) ← distribute both parenthesis
= 12x + 10x² - 24 - 20x ← collect like terms
= 10x² - 8x - 24
Answer:
C. (x +1)(x +3)(x +4)
Step-by-step explanation:
The least common multiple is the product of the unique factors of each of the expressions. To find it, we need to factor each expression and identify the unique factors.
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<h3>factorization</h3>
x² +4x +3 = (x +3)(x +1)
x² +7x +12 = (x +3)(x +4)
<h3>LCM</h3>
The unique factors are (x +1), (x +3), (x +4). The LCM is their product:
LCM = (x +1)(x +3)(x +4)
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<em>Additional comment</em>
The positive sign of the constant (+3, +12) in each case tells you that the constants in the binomial factors will have the same sign. The positive sign of the linear term (+4x, +7x) in each case tells you the binomial factors will have constants with a positive sign. So, all of the answer choices that have negative constants can be eliminated.
