Solve for x. −x+8=−9 Enter your answer as a number, like this: 42
1 answer:
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Answer:
a) To increase 160 by 4% we multiply by 1.04
b) To decrease 160 by 6% we multiply by 0.94
Step-by-step explanation:
a) Here we have to increase 160 by 4% we are to note that;
Therefore, increasing 160 by 4% is to add additional 0.04×160 to 160
That is 160 + 0.04×160 = 160×(1 + 0.04) = 160×1.04
Therefore Sue should have multiplied 160 by 1.04 to increase 160 by 4%.
b) Here to decrease 160 by 6%, we subtract 6% of 160 from 160 that is;
Decrease 160 by 6% = 160 - 160×0.06 = 160×(1 - 0.06) = 160 × 0.94 = 150.4
Hence to decrease 160 by 6% we multiply by 0.94.
2) Period = 3π,
2π/b = 3π, b = 2π/3π = 2/3
Amplitude = 2
Midline = 1
Equation: f(x) = 3sin(2/3(x)) + 1 (no vertical shift)
See attachment for graph.
3) f(x) = -23sin(4x) + 14,
a) amplitude = 23
b) midline = 14
c) Maximum = 37
d) Minimum = -9
