The left hand side of the equation is a difference of two squares and may be factored out as follows,
(x - 4)(x + 4) > 0
They may be individually taken as,
x - 4 > 0 ; x > 4
x + 4 > 0 ; x < -4
Thus, the answer to this item is letter A.
Answer:
2(x + 4) / 6(x² - 3x - 28)
Step-by-step explanation:
Area of a rectangle = length × width
Length = 2/(x² - 3x - 28)
Width = x² - 16/6x - 24
= (x + 4)(x - 4) / 6(x - 4)
= (x + 4) / 6
Area of a rectangle = length × width
= 2/(x² - 3x - 28) × (x + 4) / 6
= 2(x + 4) / (x² - 3x - 28)6
= 2(x + 4) / 6x² - 18x - 168
= 2(x + 4) / 6(x² - 3x - 28)
Area of a rectangle =
2(x + 4) / 6(x² - 3x - 28)
Beginning with the function y = sin x, which would have range from -1 to 1 and period of 2pi:
Vertical compression of 1/2 compresses the range from -1/2 to 1/2
Phase shift of pi/2 to the left
Horizontal stretch to a period of 4pi, as the crests are at -4pi, 0, 4pi
Vertical shift of 1 unit up moves the range to 1/2 to 3/2
So the first choice looks like a good answer.
Answer:
7. Option D
9. Option B
10. Option C
Step-by-step explanation:
