A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is
1 answer:
Answer:
The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
We can substitute a definition of one of the variables by rearranging the first equation.
We set the first equation equal to one of our two variables.
Now we substitute this equality into our second equation
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Answer: It's a tie between f(x) and h(x). Both have the same max of y = 3
The highest point shown on the graph of f(x) is at (x,y) = (pi,3). The y value here is y = 3.
For h(x), the max occurs when cosine is at its largest: when cos(x) = 1.
So,
h(x) = 2*cos(x)+1
turns into
h(x) = 2*1+1
h(x) = 2+1
h(x) = 3
showing that h(x) maxes out at y = 3 as well
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Note: g(x) has all of its y values smaller than 0, so there's no way it can have a max y value larger than y = 3. See the attached image to see what this graph would look like if you plotted the 7 points. A parabola seems to form. Note how point D = (-3, -2) is the highest point for g(x). So the max for g(x) is y = -2
The highest point shown on the graph of f(x) is at (x,y) = (pi,3). The y value here is y = 3.
For h(x), the max occurs when cosine is at its largest: when cos(x) = 1.
So,
h(x) = 2*cos(x)+1
turns into
h(x) = 2*1+1
h(x) = 2+1
h(x) = 3
showing that h(x) maxes out at y = 3 as well
--------------------------------
Note: g(x) has all of its y values smaller than 0, so there's no way it can have a max y value larger than y = 3. See the attached image to see what this graph would look like if you plotted the 7 points. A parabola seems to form. Note how point D = (-3, -2) is the highest point for g(x). So the max for g(x) is y = -2
Answer:
Buffalo mild wings offers the lowest price per wing ($0.83).
Step-by-step explanation:
Let us find unit price per buffalo wing of each restaurant.
Upon rounding our answer to nearest cent we will get,
Therefore, buffalo bills offers each wing for $0.88.
Upon rounding our answer to nearest cent we will get,
Therefore, buffalo mild wings offers each wing for $0.83.
Therefore, wingers offers each wing for $0.85.
We can see that buffalo mild wings offers the lowest price per wing that is $0.83 per wing.