Answer:
x = 2 and x = -2
Step-by-step explanation:
The easiest way is to guess. We know that you can't have a square root of a negative number. This constrains x between negative infinity to 2. Testing 2 and -2, we see that it satisfy the equation.
The more systematic approach is shown below
x= -2, 2
The transformation is
Whenever you transform a function like
You're stretching the function vertically. So, the graph of g(x) is the graph of f(x), stretched vertically with a scale factor of 5.
There are 26 integers in the set
. If the wavelength of light is uniformly distributed, then the probability that it has a wavelength of any one of these integers is
, so the distribution of wavelengths has probability mass function
The mean (expected value) is given by
and the variance by
First, the mean:
(rounded up from an exact value of 642.5)
Now for the variance:
Meanwhile,
, which gives a total variance of
(rounded up from 56.5)
X + y/2 = 1
y/2 = 1 - x
y = 2(1 - x)
y = 2 - 2x
when x = -2
y = 2 + 4
y = 6
(-2,6)
when x = -1
y = 2 + 2
y = 4
(-1,4)
when x = 0
y = 2 - 0
y = 2
(0,2)
when x = 1
y = 2 - 2
y = 0
(1,0)
when x = 2
y = 2 - 4
y = -2
(2,-2)
Answer:
94
Step By Step Explanation:
6X8=48
5X7=35
1X3=3
2X4=8
48+35+3+8= 94
48+35=83
3+8=11
83+11=94
94
