Answer:
-2 - 8i
Step-by-step explanation:
To find the conjugate of a complex number, change the sign of the imaginary part.
The conjugate of -2 + 8i is -2 - 8i.
Answer:
the min is 53 the max is 90 median is 65 first quartile is 60 and the third quartile is 82
Step-by-step explanation:
Step-by-step explanation:
You have to substitute... 0, 5, & 10, & 3
y = 2x + 3
y = 2(0) + 3
y = 0 + 3
y = 3
(0,3)
y = 2x + 3
y = 2(5) + 3
y = 10 + 3
y = 13
(5,13)
y = 2x + 3
y = 2(10) + 3
y = 20 + 3
y = 23
(10,23)
y = 2x + 3
y = 2(3) + 3
y = 6 + 3
y = 9
(3,9)
This is always ''interesting'' If you see an absolute value, you always need to deal with when it is zero:
(x-4)=0 ===> x=4,
so that now you have to plot 2 functions!
For x<= 4: what's inside the absolute value (x-4) is negative, right?, then let's make it +, by multiplying by -1:
|x-4| = -(x-4)=4-x
Then:
for x<=4, y = -x+4-7 = -x-3
for x=>4, (x-4) is positive, so no changes:
y= x-4-7 = x-11,
Now plot both lines. Pick up some x that are 4 or less, for y = -x-3, and some points that are 4 or greater, for y=x-11
In fact, only two points are necessary to draw a line, right? So if you want to go full speed, choose:
x=4 and x= 3 for y=-x-3
And just x=5 for y=x-11
The reason is that the absolute value is continuous, so x=4 works for both:
x=4===> y=-4-3 = -7
x==4 ====> y = 4-11=-7!
abs() usually have a cusp int he point where it is =0
Hope it helps, despite being this long!
