Answer:

Step-by-step explanation:
we are given
f is translated 4 units down to create g
we know that
whenever we translate any function by 'a' units down , we always subtract that function by 'a' units
Suppose, f(x) is translated down by 'a' units
so, we get
=f(x)-a
now, we have
f is translated 4 units down
so, we get

and it is creating g(x)

Answer:
C. Multiply both 2and 4 into it then you'll have the answer
Answer:
8
Step-by-step explanation:
We can start by making the table below to show the given numbers (red) and to assign a variable (x) to <em>the number we want to find: female PhDs</em>.
By subtracting the female numbers from the totals, we can find the corresponding numbers of male PhDs and non-PhDs.
The number of male non-PhDs is twice the number of male PhDs, so we have ...
2(14 -x) = 20 -x
28 -2x = 20 -x . . . . eliminate parentheses
8 = x . . . . . . . . . . . .add 2x-20
The number of female faculty with PhDs is 8.
Answer:
3.636478334
Step-by-step explanation:
Minor point: the quadrilateral is STWR, <em>not STRW</em>. Vertices are named in order.
The measure of angle T is half the measure of arc WRS. The measure of angle R is half the measure of arc STW. The sum of the measures of the two arcs is the measure of a circle, 360°, so you have
... T + R = (WRS)/2 + (STW)/2
... ... = (WRS + STW)/2
... ... = 360°/2 = 180°
Since the sum of T and R is 180°, they are supplementary.