Answers A and <span>D
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</span><span>9x − 3(x+8) [distribute] = 9x − 3x − 24 = 6x − 24 [combine like terms]
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<span>8(x−3)−2x = [distribute] 8x−24−2x = 6x−24 [combine like terms] </span>
Answer:
Slope is positive for all x, so always increasing
Step-by-step explanation:
Increasing/decreasing depends on the slope of the function, which is f'
f'(x) = 9x² + 18x + 25
If f'(x) > 0 for all x, then his claim is correct (increasing for all x)
If there's even 1 x-value for which f'(x) is not positive, his claim is incorrect
f'(x) is a quadratic function.
9x² + 18x + 25
9(x² + 2x) + 25
9(x² + 2(x)(1) + 1² - 1²) + 25
9(x + 1)² - 9 + 25
9(x + 1)² + 16
Since the minimum value of f' is 16, it's always positive.
Hence, the claim is correct
Find the domain of the given funciton
domain is numbers you can use in the function for x
so fractions
remember
never divide by 0
find what number makes denomenator 0 and restrict that
x-8=0
x=8
the domain is all real numbers except fo 8
The woman wouuld save 1/10 or 1 tenth of her salary