Answer:
a reflection in the y-axis followed by a translation down by 7 units
Step-by-step explanation:
just answered it
The right answer is 19.9
Step-by-step explanation:
Given data set is;
(18, 23, 17, 25, 15, 18, 18, 16, 27, 25, 18, 19)
Sum of terms = 18+23+17+25+15+18+18+16+27+25+18+19 = 239
Number of terms in data set = 12
Average =
Average =
Average = 19.91
The average of data set is 19.91
The right answer is 19.9
Keywords: average, addition
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Answer:
Part A: 3x²(x⁸ - 16)
Part B: 3x²(x² - 2)(x² + 2) (x² - 2x + 2)(x² + 2x + 2)
Step-by-step explanation:
Part A. Factor out the greatest common factor
3x¹⁰ - 48 x²
= 3x²(x⁸ - 16)
Part B. Factor the expression completely
(i) Factor the difference of squares
x⁸ - 16
= (x⁴ - 4)(x⁴ + 4)
= (x² - 2)(x² + 2)(x⁴ + 4)
3x¹⁰ - 48 x² = 3x²(x² - 2)(x² + 2)(x⁴ + 4)
(ii) Factor the sum of squares
Use the Sophie Germain Identity to factor x⁴ + 4.
x⁴ + 4
= (x²)² + 2² (Still a sum of squares)
= (x² + 2)² - 4x² (Factor this as a difference of squares)
= (x² + 2 - 2x)(x² + 2 + 2x)
3x¹⁰ - 48 x² = 3x² (x² - 2)(x² + 2) (x² - 2x + 2)(x² + 2x + 2)
20.7 seconds because it’ll go fast as hell