On the complex plane, the real component of a complex number is graphed along the horizontal axis while the imaginary component is graphed along the vertical axis.
Positive numbers go to the right on the real axis and up on the imaginary axis, and vice versa for negative numbers.
Therefore, the number -14-5i is in the 3rd quadrant because it graphed to the left of the origin and down.
Answer:
y=−7−(√161/4), −7+(√161)/4
Decimal form- y=1.42214438, -4.92214438
Step-by-step explanation:
Answer:
a. -5
b.-5
c.-5
Step-by-step explanation:
In order to find the average rate of change of a function , we divide the change in the output value by the change in the input value.
Generally, the average rate of change (ARC) on an ecuatios between two points (x1,f(x1)) and (x2,f(x2)) is
- ARC = [f(x2)-f(x1)]/ (x2-x1)
<em>In case a)</em>
f(-1)= -5*(-1)-8=5-8= -3 f(3)= -5*3-8= -23
Then ARC= (-23-(-3))/(3-(-1))=-20/4=-5
<em>In case b)</em>
f(a)= (-5a-8)
f(b)= (-5b-8)
Then ARC= [(-5b-8)-(-5a-8)]/(b-a)= (-5b+5a)/(b-a)= -5(b-a)/(b-a)= -5
<em>In case c)</em>
f(x)= -5x-8
f(x+h)= -5(x+h)-8= -5x-5h-8
then ARC= [(-5x-5h-8)-(-5x-8)]/(x+h-x) =-5h/h= -5
Answer:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
(
−
∞
,
∞
)
{x
|
x ∈ R
}
Hope this helps I'm 80% sure this right.
