Answer:
Step-by-step explanation:
The first parabola has vertex (-1, 0) and y-intercept (0, 1).
We plug these values into the given vertex form equation of a parabola:
y - k = a(x - h)^2 becomes
y - 0 = a(x + 1)^2
Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:
1 = a(0 + 1)^2, and from this we know that a = 1. Thus, the equation of the first parabola is
y = (x + 1)^2
Second parabola: We follow essentially the same approach. Identify the vertex and the two horizontal intercepts. They are:
vertex: (1, 4)
x-intercepts: (-1, 0) and (3, 0)
Subbing these values into y - k = a(x - h)^2, we obtain:
0 - 4 = a(3 - 1)^2, or
-4 = a(2)². This yields a = -1.
Then the desired equation of the parabola is
y - 4 = -(x - 1)^2
Answer:
Outliers are often extreme values that are not as representative of the data set as the other points in the cluster. If the outliers are included, a description of the data set might be misrepresented.
Step-by-step explanation:
<h2>Explanations:</h2>
From the given question, we have the following parameters
Cost of a small greeting card = $1.60
The cost of a large greeting card = $4.05.
Cost of 5 small greeting cards = 5(1.60)
Cost of 5 small greeting cards = $8.00
Cost of 4 large greeting cards = 4(4.05)
Cost of 4 large greeting cards = $16.2
Cost of 5 small and 4 large = $8.00 + $16.2
Cost of 5 small and 4 large $24.2
Hence it would cost $24.2 to get 5 small greeting cards and 4 large greeting cards
Similarly;
Cost of x small greeting cards = 1.60x
Cost of y large greeting cards = 4.05y
Cost of small greeting cards and y large greeting cards = 1.60x + 4.05y
Hence it would cost $(1.60x + 4.05y) to get x small greeting cards and y large greeting cards
Answer:
About $241.11
Step-by-step explanation:
So, Karen receives 18.2 cents per paper.
She delivers 124 paper per day.
In other words, on days other than Sunday, she will make a total of:
On Sunday, each paper is sold for $0.70 or 70 cents. She also sells 151 Sunday papers. Thus, on a Sunday, she will make a total of:
Therefore, in one week, she will do the first equation six times and the Sunday equation once. Thus, her total pay will be:
Is simply their difference,
