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Answer:
The equation of the axis of symmetry is x = 7
Step-by-step explanation:
Mathematically, we have the equation of the axis of symmetry as;
x = -b/2a
where a is the coefficient of x^2 = 1
b is the coefficient of x which is -14
So, the equation of the axis of symmetry will be;
x = -(-14)/2(1) = 14/2 = 7
So the equation of the axis of symmetry is x =7
Answer:
(4x + 5)(x² + 25)
Step-by-step explanation:
Given
4x³ + 5x² + 100x + 125 ( factor the first/second and third/fourth terms )
= x²(4x + 5) + 25(4x + 5) ← factor out (4x + 5) from each term
= (4x + 5)(x² + 25)
Answer:
a) Sample mean: 48.71
Sample median: 48.3
Sample variance: 5.41
Sample standard deviation: 2.37
Step-by-step explanation:
a) Sample mean:
Sample median: M=48.3
Note: I order the data increasingly and take the value N / 2 = 40. In this way there are 39 values above and 39 values below the median.
Sample variance:
Sample standard deviation
b)
Step-by-step explanation:
By Sine Rule, 13/sin96° = x/sin25°.
Hence, x = 13sin25°/sin96° = 5.5.
