The GCF is the smallest shared prime factor for each term.
The LCM is the smallest whole number that both numbers share as multiples.
For example, take #16.
Factors of 25: 1 , 5, 25
Factors of 75: 1 , 3, 5, 15, 25 ,75
The GCF that is shared would then be 25.
The smallest multiple that both share as multiples:
Multiples of 25: 25, 50, 75, etc.
Multiples of 75: 75, etc.
The LCM that is shared would then be 75.
16) 25 and 75
GCF: 25
LCM: 75
17) 35 and 5
GCF: 5
LCM: 35
18) 27 and 36
GCF: 9
LCM: 108
19) 21 and 56
GCF: 7
LCM: 168
20) 54 and 72
GCF: 18
LCM: 216
Step-by-step explanation:
30 1/3 = 91/3
3 × 91/3% = 91/100 (0.91)
(3-0.91=2.09) < I dunno if you need to subtract it tho^^
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
The area of the triangle with vertices 
is
.
Inserting numerical values, the are of the triangle with vertices (0, 0), (6, 2), (4, 8) is
Answer:
This can be expanded to x⁴ - 6x²
Step-by-step explanation:
