<span>f(x) = (x – 4)(x + 2),
x-intercept means that f(x) = 0.
0 = (x-4)(x+2)
(x-4)=0, x= 4, point (4,0)
(x+2)=0, x = -2, point (-2,0)
This graph has 2 x-intercepts: (4,0) and (-2,0).
From given answers we can choose only </span>(-2,0).
Answer:
The required drawing showing the cliff, river, and tower as well as the details in the question is attached, please find alongside the answer
The width of the river is approximately 51.55 meters
Step-by-step explanation:
The height of the observation tower = 11 meters
The angle of elevation of the cliff top and the opposite side of the river = 20°
The angle of elevation of the tower top and the opposite side of the river = 30°
Therefore, by sine rule, we have;
h/sin(20) = w/sin(60)
11/sin(10) = length, l/sin(60)
l = sin(60) ×11/sin(10) ≈ 54.86 meters
w = l × cos (20) = 54.86 meters × cos (20) ≈ 51.55 meters
The width, w, of the river is approximately 51.55 meters.
4
22
-12
those are the right answers
Answer:
y≥ 23
Step-by-step explanation:
y/3 - 7 ≥ 2/3
Add 7 to each side
y/3 - 7+7 ≥ 2/3+7
y/3 ≥ 2/3+21/3
y/3 ≥ 23/3
Multiply each side by 3
y/3 *3 ≥ 23/3*3
y≥ 23
Count the dots plotted here. There are four of them, right? What are the x-coordinates of those four dots: Answer: {-1, 0, 1, 2}.
Reject answers B and C because none of the four dots have x-coordinate -3.
Reject answer A because this set would not include x=-1 or x=2.