I need help with #'s 59, 63, 67, and 71 PLEASE!!!I need to find the domain!!
1 answer:
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Answer:
59. t ≥ -1
63. x ≤ -1/2
67. (x ≤ 0) ∪ (x ≥ 6)
71. x > 1/2
Step-by-step explanation:
The domain is the set of values of x where the function is defined. In rational functions it excludes any values of x that make the denominator zero. When even-index roots are involved, it excludes values of x that make the argument of the root function negative.
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59. t+1 ≥ 0 ⇒ t ≥ -1
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63. 1 -2x ≥ 0 ⇒ x ≤ -1/2
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67. x² -6x ≥ 0 ⇒ x(x -6) ≥ 0 ⇒ (x ≤ 0) ∪ (x ≥ 6)
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71. 2x -1 > 0 ⇒ x > 1/2 . . . . note we left off the =0 case for this one
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The attachment is a plot of the g(x) in 67. You can see that it is undefined for 0 < x < 6.
As you can see, a graphing calculator can be helpful in identifying the domain. Of course, any vertical asymptotes are excluded, as are any "holes" in a function.
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Answer:
Step-by-step explanation:
If we think about a right triangle, we get that the hypotenuse is 24ft or the length of the ladder. The base of the ladder is 15ft away from the building which is the leg of the right triangle. The screenshot is the diagram (my drawing isn't that good lol:))
Thus we can use cosine function with the angle between the ladder and the ground since we need to find the angle and we get
and
The angle is 51.3 degrees hope that helps!
