Answer:
Step-by-step explanation:
Numerator
sin
x
cos
y
+
cos
x
sin
y
−
[
sin
x
cos
y
−
cos
x
sin
y
)
=
sin
x
cos
y
+
cos
x
sin
y
−
sin
x
cos
y
+
cos
x
sin
y
=
2
cos
x
sin
y
Denominator
cos
x
cos
y
−
sin
x
sin
y
+
cos
x
cos
y
+
sin
x
sin
y
=
cos
x
cos
y
−
sin
x
sin
y
+
cos
x
cos
y
+
sin
x
sin
y
=
2
cos
x
cos
y
---------------------------------------------------------------
left side can now be expressed as
2
cos
x
sin
y
2
cos
x
cos
y
=
2
cos
x
sin
y
2
cos
x
cos
y
=
sin
y
cos
y
and
sin
y
cos
y
=
tan
y
=
right side hence proved
Answer:
the range for f(x) = (x-4) (x-2) is [-1,∞)
Step-by-step explanation:
all real numbers greater than or equal to -1
Answer:
Step-by-step explanation:
5). 
= 
= 
6). 
= x²
7). 
8). 
= 
9). 
10). 
= 
= x³
Sorry can't include the graphs, just subsitute y for f(x) and graph by subsituting values
so domain is the set of numbers you are allowed to use
range is the set of number you get from inputing the numbers from the domain into the function
so normally the domain is all real numbers
you must exclude number from the domain that make mathematical undifined impossible stuff exg dividing by zero so
not sure about the ranges so I will leave that out
a. denomenator is x-2
cannot be zero
x-2=0
add 2
x=2
domain: all real numbers except for 2
b. x+2=deomenator
x+2=0
subtract 2
x=-2
x acannot be -2
domain: all real numbers except for -2
c
x cannot be 0
domain: all real numbers except for 0
d. x cannot be -1
domain: all real numbers except for -1
e: x cannot be a negative number or 0
domain: all real numbers greater than zero
f: x cannnot be -2
domain: al real numbers except -2
g: x cannot be 0
domain: all real number except 0
h: x cannot be zero
domain: all real numbers except 0
i: x cannot be 1
doman: all real number except 1
j: 5x-2=0
add 2
5x=2
divide 5
x=2/5
x cannot be 2/5
domain: all real numbers except for 2/5
There are 104 left handed students. you can get this answer by dividing the amount of right handed students by 9 (from ratio). Then multiply that answer by 2 (from ratio) to get your answer
