In a room of 40 girls, 10 girls like music only while 5 likes both music and arts. If 4 girls like neither, how many
1 answer:
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Answer:
Step-by-step explanation:
step 1
we have the points
(-1,0), (-2,0), and (0,2)
Plot the points
using a graphing tool
see the attached figure
The graph of a quadratic function must be a vertical parabola open upward
The vertex is a minimum
The quadratic function in general form is equal to
Substitute the value of x and the value of y of each given ordered pair in the general equation and solve for a,b and c
(0,2)
For x=0, y=2
substitute
(-1,0)
For x=-1, y=0
substitute
---->
----> equation A
(-2,0)
For x=-2, y=0
substitute
----> equation B
we have the system
----> equation A
----> equation B
substitute equation A in equation B
solve for b
Find the value of a
therefore
The quadratic function in general form is equal to
see the attached figure N 2 to better understand the problem
First, lets break up the equation into pieces.
The first variable is slope, in your case here, we have a slope of -3 or -3/1.
The other variable is the y-intercept, which is where place on the graph where you plot (0,X), in your case here we got (0,-4). That is the y-intercept.
to graph it you have to plot the y-intercept, and then identify the slope.
Here is an example.
