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
Circles follow ghe equations
(x-h)^2 + (y-k)^2 =r^2
with center (h,k) and radius r
for this circle it would be
(x-7)^2 + (y-4)^2 = 100
Answer:
<u>The correct answer is C. 600 shares worth $16.67 each </u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Number of old shares Jim owns in Gamma Vision Inc = 400
Value of each share = $ 25
Ratio of new shares : old shares after the split = 3:2
2. How many shares will he have after the split and how much will each be worth? Select the best answer from the choices provided.
A. Let's use the ratio provided to calculate the number of new shares Jim will own, this way:
New shares = 400 * 3/2 = 1,200/2 = 600
B. Let's calculate the price of the new share, this way:
The total value of the new shares should be the same than the total value of the old shares, then:
400 * 25 = 600 * x
10,000 = 600x
x = 10,000/600 = 16.67
<u>The correct answer is C. 600 shares worth $16.67 each </u>
Answer:
20xy + 5x -4y
Step-by-step explanation:
I hope this helps you
