9514 1404 393
Answer:
x = 1, x = 7
Step-by-step explanation:
You can see from the graph that the x-intercepts of f(x) are ...
0 = f(-3)
0 = f(3)
To find the corresponding values of x for f(x-4), we can solve ...
0 = f(x -4)
x -4 = -3 ⇒ x = 1
x -4 = 3 ⇒ x = 7
The x-intercepts of the function after translation 4 units right are ...
x = 1, x = 7
__
Your sketch will be the same curve moved 4 units to the right. (Add 4 to every x-value shown.)
Answer: The angle of elevation is 18.4 degrees (Approximately)
Step-by-step explanation: Please refer to the picture attached for more details.
The pole from top to bottom is 20 feet tall and is depicted as line FB. An observer is standing at a distance of 20 feet from the base of the pole, and that is depicted as line BA. The observer who is at point A looks up to the top of the flagpole at an angle of elevation shown as angle A.
Using angle A as the reference angle, line FB which is 20 feet would be the opposite (facing the reference angle), while line BA which is 60 feet would be the adjacent (that lies between the right angle and the reference angle).
Therefore, to calculate angle A;
Tan A = Opposite/Adjacent
Tan A = 20/60
Tan A = 1/3
Tan A = 0.3333
Checking with your calculator or table of values,
A = 18.4349°
Rounded to the nearest tenth,
A ≈ 18.4°
Answer:
Domain: all real numbers
Range: all real numbers
Step-by-step explanation:
The domain is all x values, and the range is all y values.
<u><em>Domain:</em></u>
The domain is all real numbers except where the slope is undefined (a vertical line). In this case, no number makes the expression undefined, so the domain is:
all real numbers
<u><em>Interval notation:</em></u><em> </em>(-∞,∞)
all negative numbers and positive numbers (all real numbers)
<em><u>Set-Builder Notation:</u></em> {x | x ∈ R
}
<em><u>Range:</u></em>
The range is the set of all valid values. Graph the line and check. Since all values of y are valid, the range is:
all real numbers
<u><em>Interval notation:</em></u><em> </em>(-∞,∞)
all negative numbers and positive numbers (all real numbers)
<em><u>Set-Builder Notation:</u></em> {x | x ∈ R
}
:Done
Answer: 3.75
Step-by-step explanation:
