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
Step-by-step explanation:
a. y = ¾x +6
b. y = 6/4 x -2
c. y = -2/4 x +3
d. y = -1/7 x -4
Hello there!
It would take Derek 9 minutes to read this article.
Answer:
92.616%
Step-by-step explanation:
Given is the data of x and y where
x = current density (mA/cm2) and
y = rate of deposition (µm/min)
to find out whether there is linear relationship between x and y
x y
20 0.14
40 1.25
60 1.71
80 2.07
r 0.962364513
r^2 0.926145457
Since r is very near to 1, we find that there is a strong positive correlation and hence linearity can be assumed
r square the coefficient of determination is 0.9261 which is 92.616%
this is the measure which accounts for variation in x due to y and or variation in y due to x.
the answer is .1
10 to teh 5th divided by 10 to the sixth