Answer:
(a) x > 4 (b) y < -2
Step-by-step explanation:
Domain is referring to the x-values while the range is referring to the y-values.
Since the function (the line) has a circle at the point (4, -2), the function will be exclusive at that coordinate.
The line goes to infinity for the x-values from 4, so you write x > 4 or ∞ > x > 4.
Similarly, the line goes to infinity for the y-values from -2, so you write y < -2 or -∞ < y < -2.
Answer:
2+i or 2-i (D)
Step-by-step explanation:
First you use the quadratic formula. X= (-b +/-
)/2a
a=1
b=-4
c=5
X= (4 +/-
)/2
X=(4 +/-
)/2
The square root of -4 is 2i. i=√-1. Therefore 2i= 2√-1 .If you simplify that, it becomes √-4i.
X= (4+/- 2i)/2
X= 2+/-i
X= 2+i or 2-i
You can use the formula y1-y2=m(x1-x2)
to find m, you just do (y2-y1)/(x2-x1) so....
(115-80)/(80-40)= 35/40= 7/8
then plug it into the point slope equation:
y-115=7/8(x-80)
y-115=7/8x-70
y= 7/8 x + 45
8/x -5/x=4
multiple x on both side
8-5=4x
3=4x
x=3/4
Answer:
Yes
Step-by-step explanation:
The z-score corresponding to a number or score can be calculated using:

Where x stands for the individual scores, and

stands for the mean.
Since

for all numbers or scores below the mean, the difference will always be negative these values below the mean.
This will always result in a negative z-score for all numbers below the mean.