The parabola is represented with the equation y = (1/4p)(x - h)^2 + k.
That is the vertex form of the equation, because h and k represent the coordinates of the vertex of the parabola, h is the x-coordinate of the vertex and k is the y-coordinate of the vertex.
So the vertex is (h, k).
To place it in the graph you just need to know the values of h and k. For example, for a positive value of p, if they k and h are positive, means the vertex is in the first quadrant.
After that the number of zeros will depend on the value of k.
Again assuming p is positive, which implies that the parabola opens upward.
k = 0 means the parabola has one zero, because the vertex is just on the x-axis.
k > 0 means the parabola has none zeros, because the vertex will be above the x-axis and it will not intersect the x - axis.
k < 0 means the parabola has two zeros, because the vertex will be below the x - axis and it will intersect the x -axis at two points.
If p is negative, the parabola opens downward and the conclusions are the opposite
k < 0 the parabola has non zeros.
k > 0 the parabola has two zeros
k = 0 the parabola has one zero (just as when p is positive)
<span>1. </span>When given a raw score, it must be converted
into a z-score (standard score). Raw scores cannot be placed on a normal
distribution curve because they do not have the same means and standard
deviations, but when it is converted into a z-score, the number of standard
deviations above or below the population mean can be measured. The z-scores on
the center are average, the scores on the left are lower than average and the
scores on the right are higher than average.
<span>2. </span>A z-score is a standard score which can be
placed on a normal distribution curve. A z-score indicates the distance of the
standard deviations from the mean (center of the curve).
A value raised by an exponent is the same as that value being multiplied by itself the number of times the exponent is.
(9m)^4 means 9m is multiplied by itself 4 times:
It can be written as: (9m)(9m)(9m)(9m)
Answer: The total purchase price is $ 29,032
Step-by-step explanation:
Hi, to solve this problem you have to solve the percentages of each taxes first.
So :
- state taxes =$24,500 × 5.5% = $1,347.5
- federal tax = $24,500 × 13% = $3,185
The next step is adding the taxes results to the speedboat cost.
so:
speedboat = $24,500
speedboat + taxes = $24,500 + $1,347.5 +$3,185 = $29,032
The total purchse price for the speedboat is $29,032.
