40 x 0.08875 = 3.55
40 + 3.55 = 43.55
the sum is $43.55
The vertex is the high point of the curve, (2, 1). The vertex form of the equation for a parabola is
.. y = a*(x -h)^2 +k . . . . . . . for vertex = (h, k)
Using the vertex coordinates we read from the graph, the equation is
.. y = a*(x -2)^2 +1
We need to find the value of "a". We can do that by using any (x, y) value that we know (other than the vertex), for example (1, 0).
.. 0 = a*(1 -2)^2 +1
.. 0 = a*1 +1
.. -1 = a
Now we know the equation is
.. y = -(x -2)^2 +1
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If we like, we can expand it to
.. y = -(x^2 -4x +4) +1
.. y = -x^2 +4x -3
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An alternative approach would be to make use of the zeros. You can read the x-intercepts from the graph as x=1 and x=3. Then you can write the equation as
.. y = a*(x -1)*(x -3)
Once again, you need to find the value of "a" using some other point on the graph. The vertex (x, y) = (2, 1) is one such point. Subsituting those values, we get
.. 1 = a*(2 -1)*(2 -3) = a*1*-1 = -a
.. -1 = a
Then the equation of the graph can be written as
.. y = -(x -1)(x -3)
In expanded form, this is
.. y = -(x^2 -4x +3)
.. y = -x^2 +4x -3 . . . . . . same as above
Answer:
1/2
Step-by-step explanation:
substitute -2 for x.
any number to negative power must be flipped. 2^-2 = 1/(2^2) = 1/4
(2)(2^-2) = (2)(1/4) = 2/4 = 1/2
.............................electronically...................................
Answer:
Basically we have been provided with a stem and leaf plot, and we have to find three values from it, that are:
1) Median
2) Mode
3) Range
First write all the data in in ascending order.
96 , 98 , 104 , 106 , 106 , 106 , 110 , 113 , 113 , 115 , 124 , 129
1) Median
For even number of values median is the average between 2 middle values.
96 , 98 , 104 , 106 , 106 , 106 , 110 , 113 , 113 , 115 , 124 , 129
Median =( 106+110)/2
Median = 108
2) Mode
The number that appears most
Mode = 106
3) Range
Range = max number - min number
Range = 129 - 96
Range = 33
