Answer:
The required equation is
.
Step-by-step explanation:
The parent function of a rational function is

The transformation is defined by the function

Where, a represents the horizontal shift and b represents the vertical shift.
If a>0, then graph of parent function will shift left side and if a<0, then graph of parent function will shift right side.
If b>0, then graph of parent function will shift upward and if b<0, then graph of parent function will shift downward side.
Since the graph of parent function shifts 3 units left and 2 units down. Therefore the value of a is 3 and the value of b is -2.
The new function is

Therefore the required equation is
.
Answer:
because some applicants volunteer and meet the GPA requirements the events are NOT MUTUALLY exclusive. Thus, the probability is 65%
Step-by-step explanation:
Answer:
456 
Step-by-step explanation:
Find the height of the trapezoid first (QR):
= 12
QR = 12
Area:
× h =
× 12
= 456 
Answer:
Angle X is 122°
Step-by-step explanation:
Because it's a 180° line (supplementary angle thm):
180°-58°=122°
Step-by-step explanation:
point-slope form is
y - y1 = a(x - x1)
with a being the slope, and (x1,y1) being a point on the line.
the general form is
y = ax + b
a is again the slope. and b is the y-intercept (the y value when x = 0).
the slope is the ratio "y coordinate change / x coordinate change".
so, we need to find the slope of the original line :
x - 7y - 9 = 0
x - 9 = 7y
y = 1/7 x - 9/7
so, the original slope is 1/7.
the perpendicular slope turns the original slope upside-down and flips the sign.
so, it is
-7/1 = -7
the point slope form is
y - -4 = -7(x - 6)
y + 4 = -7(x - 6)
for the standard form we only need to do the multiplications and transform the equation into the above form :
y + 4 = -7(x - 6)
y + 4 = -7x + 42
y = -7x + 38