f(x) has to be close to -1 when x is close to -3, and so f(x) is increasing when x increases, and there are no numbers from -1 to ∞ that there is no f(x) value. In the first piece of the function <span>f(x) ranges from -1 to 4 and the second piece from 0 to ∞ so. The ranges had to overlap since it's not defined at x = 2.</span>
Answer:
0.40x = 320
Step-by-step explanation:
If 40% of the total houseplants watered = 320
0.40 times x (total houseplants) = 320
Answer:p = 28.36
q = 31.78
Step-by-step explanation:
Considering the smaller right angle triangle, with 50° as the reference angle, the opposite side is q and the adjacent side is 55 - p
Applying the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Tan 50 = q/(55 - p)
1.1918(55 - p) = q - - - - - - - - - 1
Considering the bigger right angle triangle, with 30° as the reference angle, the opposite side is q and the adjacent side is 55
Applying the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Tan 30 = q/55
0.5774 = q/55
q = 55 × 0.5774
q = 31.757
Substituting q = 31.757 into equation 1, it becomes
1.1918(55 - p) = 31.757
65.549 - 1.1918p = 31.757
1.1918p = 65.549 - 31.757
1.1918p = 33.792
p = 33.792/1.1918
p = 28.36
Answer:5/12 (Decimal: 0.416667)
Step-by-step explanation:
