If you begin with the basic equation of a vertical parabola: y-k=a(x-h)^2, where (h,k) is the vertex, then that equation, when the vertex is (-3,-2), is
y + 2 = a (x + 3)^2. If we solve this for y, we get
y = a(x+3)^2 - 2. Thus, eliminate answers A and D. That leaves B, since B correctly shows (x+3)^2.
Yay, implicit differnentiation
when you take the derivitive of y, you multiply it by dy/dx
example
dy/dx y^2=2y dy/dx
for x, the dy/dx dissapears
ok
so differnetiate and solve for dy/dx
3y² dy/dx-(y+x dy/dx)=0
expand
3y² dy/dx-y-x dy/dx=0
3y² dy/dx-x dy/dx=y
dy/dx (3y²-x)=y
dy/dx=y/(3y²-x)
so at (7,2)
x=7 and y=2
dy/dx=2/(3(2)²-7)
dy/dx=2/(3(4)-7)
dy/dx=2/(12-7)
dy/dx=2/5
answer is 2/5
<span>A word problem that can be modeled by addition of two negative numbers integers is given as followed.
Evans and Irvin are standing at the same spot. Evans took 7 steps backwards and another 7 steps backward, what is the current position of Evans relative to where Irvin is standing?
To solve the above, we note that Evans </span><span>took 7 steps backwards and another 7 steps backward, thus his current position relative to Irvin is given by (-7) + (-7) = -7 - 7 = -14.
Therefore, Evans is 14 steps backwards relative to where Irvin is standing.
</span>
Answer: -8 square root of 3 (choice a)
Step-by-step explanation:
You have to find 2 numbers that multiply to 48 and in the same time, 1 of these numbers is a perfect square. In this case, the numbers are 16 and 3. So -2√16*3
Then since 16 is. A perfect square, and the square root is 4, you take out the 4 and multiply it by -2 so that is -8 and now you are left with -8√3. Hopefully that helped.
Answer:
270 students is the highest number of students that can attend the Planetarium field trip each day
Step-by-step explanation:
Here, we want to know the highest number of students that can attend the planetarium each day
from the question;
The highest number per group is 15 students
The highest number of group is 18 groups
So the highest number of attendees will be;
15 * 18 = 270 students
