First, lets gather the information given in the problem :
Mr. G's total students = 57
Mr. G's band students = 25
Clue 1 : Since there are 25 students that take band, that means that there are 57-25 = 32 students who do not take band = 32 students who take choir or math or both.
Mr. G's band / choir / band and choir students = 48
Clue 2 : Since there are 25 students that take band and there are 48 that take either band / choir/ or both, that means we have 48-25 = 23 students who do not take band = 23 students who must take choir but not band. Thus
Mr. G's choir students = 23
So, we have the following :
Mr. G's total students = 57
Mr. G's band students = 25
Mr. G's choir students = 23
However, 25 + 23 = 48. Thus, we have 9 students not accounted for. These must be his math students. Hence,
Mr. G's total students = 57
Mr. G's band students = 25
Mr. G's choir students = 23
Mr. G's math students = 9
Next, they tell us that 9 students take both math and choir.
Without the vin diagrams, this is all I can provide.
<h3>Answer:</h3>
a, b, c) see the attachment
d) y = -34.4762(x -2.44268)² +281.613
<h3>Explanation:</h3>
Using Desmos is pretty straightforward for doing what the problem statement asks. You make a table, then write an equation for y₁ in terms of x₁ using the tilde (~) for the equal sign. Desmos chooses values of the coefficients to make the curve of best fit and lists those for you.
For part (b) of your question, you will have to copy the values into the form of the equation: replace "a" with its value, "b" with its value, "c" with its value.
The vertex point has been highlighted on the curve, so you can read its coordinates on the graph.
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The equation you write relating x₁ and y₁ can be written in vertex form, so you can have Desmos tell you the appropriate numbers directly. (See the second attachment.) As it works out, you don't have to, because the "a" value and the vertex coordinates are all you need to write the equation in vertex form.
Answer:
A line segment is a line that starts somewhere and then ends somewhere.
Step-by-step explanation:
Answer: = 35
Step-by-step explanation: