Mode: 23
Range: 9
Median: 25.5
Mean: 25.5625
Answer:
See attached picture
Step-by-step explanation:
When functions are transformed there are a few simple rules:
• Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
• Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
• Multiplying the function by a number less than 1 compresses it towards the x-axis.
• Multiplying the function by a number greater than 1 stretches it away from the x-axis.
The equation for g has been subtracted inside the parenthesis by 2 which will shift the graph 2 units to the right.
The equation for g has also been subtracted outside the parenthesis by 3 which will shift the graph 3 units down.
The graph is shown in black while f(x) is show in purple in the attached picture.
Part A:
We need to divide
5 ÷ 2/3
5/1 ÷ 2/3
5/1 * 3/2
15/2 or 7 1/2 plates of nachos.
Part B:
If Rachel can make 7 1/2 plates of nachos with 5 cups of cheese we need to multiply and subtract.
ma2/3 * 9 = 18/3 or 6 cups of cheese to make 9 plates
6 - 5 = 1 more cup of cheese she needs to make 9 plates
Best of Luck!
Answers:
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Explanation:
Recall that tangent is the ratio of opposite over adjacent
tan(angle) = opposite/adjacent
So for reference angle G, we say,
tan(G) = JH/GJ = 2/1 = 2
We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)
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So we have this interesting property where
tan(G)*tan(H) = 2*(1/2) = 1
In general,
tan(A)*tan(B) = 1 if and only if A+B = 90 degrees
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Side note: The side sqrt(5) isn't used at all.