Part 1: The general form for this matches y^2 = -4cx, which implies that this opens to the left. (Imagine assigning any value of y, whether positive or negative, which would result in a positive left-hand value. Then to match this sign, the value of x must be negative so that the right-hand side becomes positive as well.)
Part 2: The distance from the vertex to the directrix is given by c. This equation has its vertex at the origin (0, 0). If it opens to the left, the directrix is a vertical line to the right of the origin. This equation is y^2 = -4(1/2)x, so c = 1/2, and the directrix has the equation x = 1/2.
Part 3: The focus is inside the parabola, but it is the same distance from the vertex as the directrix. This distance is 1/2 units, and it will be to the left of the vertex. So the focus is at (-1/2, 0).
Answer:
f=8
Step-by-step explanation:
fx0.5=4
f=4x2
f=8
Heya friend !!
During water cycle , Water in liquid state absorbs tremendous amounts of incoming solar energy causing it to evaporate and it is released back in the atmosphere while the formation of clouds during Condensation .
Hence , We got our answer as D.
Hope it helps you :)
Answer:
C) f(x)= 682 • 0.95^x
Step-by-step explanation:
The formula for Exponential Decrease is given as:
y = a(1 - r)^x
Where
y = f(x)
a = Initial size of the population = 682
r = Growth rate = 5% = 0.05
x = Time is years
Therefore, our equation can be written as:
f(x) = 682 × (1 - 0.05)^x
f(x) = 682 × (0.95)^x
Therefore, the exponential function that models this situation x months after the initial month is
option C)
f(x) = 682 • 0.95^x
Answer: 100 3 digit even number that begin with either 5 or 6
Explanation:
Case 1:
A 3 digit that begin with 5 should be 500-599 so there are 100 numbers
But we are only finding even number
So 100/2 = 50 3-digit even number that begin with 5.
Case 2:
A 3 digit that begin 6 should have
600-699 and there are also 100 number including even and odd in total. Since we are only finding even number we get:
100/2 = 50 3-digit even number that begin with 6.
Plus both case together we get 50 3-digit even number that begin with 5 + 50 3-digit even number that begin with 6= 50 + 50 = 100
