Answer:
with
???????
Step-by-step explanation:
Answer:
Equation ----> 2(c - 40)
c = -40
Step-by-step explanation:
2(c - 40)
= (2c) - (80)
= 2c - 80
=
+ 
c = -40
In both cases you may well benefit from graphing the functions.
Do you recognize f(x) = (x + 1)^2 - 1 as a quadratic function, whose graph is that of a parabola that opens up? By comparing this to y = a(x-h)^2 + k, we see that a=1, h= -1 and k = -1. The vertex is at (h,k), which here is the point (-1, -1). This is the minimum value of the function. Thus, the range of this function is [-1, infinity).
Now for the function f(x) = 7x - 11: This is a linear function whose graph is (surprise!) a straight line. When x increases, y increases, without limits to either. Similarly, when x decreases, y decreases.
Thus the range includes all real numbers: (-infinity, infinity).
Answer:
Step-by-step explanation:
1) corresponding angles
2)alternate interior angles
3)alternate interior angles
4)corresponding angles
2x-7=123
2x=130
x=65
5)corresponding angles
6x-11=5x
6) alternate interiot
40=14-2x
26=-2x
-13=x
Answer:
The expected value of lateness
hours.
Step-by-step explanation:
The probability distribution of lateness is as follows:
Lateness P (Lateness)
On Time 4/5
1 Hour Late 1/10
2 Hours Late 1/20
3 Hours Late 1/20
The formula of expected value of a random variable is:

Compute the expected value of lateness as follows:


Thus, the expected value of lateness
hours.