Answer:
The answer is A. You just have to plug in.
Step-by-step explanation:
5x - y/3= 13
(2,-9) and (3,-6)
5(2) - -9/3 = 13
10 + 3 = 13
13 = 13 (true)
5(3) - -6/3= 13
15+ 2 = 13
17 = 13 (wrong)
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
Although theoretically there are infinite lines in space and in a plane, too, at least three non collinear points are necessary to define a plane. Two intersecting lines will therefore be necessary to define it (two points create a line); these intersecting lines are the ones to help define coordinates (x,y).
Answer:
Tn = -n^2 - n + 21 is the formula for the nth term.
Step-by-step explanation:
The second differences are all equal in this quadratic sequence.
Now, the quadratic sequence has a formula of Tn = an^2 + bn + c
Find the value of a in an^2 by dividing the difference by 2:
-2/2 = -1
a = -1
Since T1 is 19 and T2 is 15 we can put that into the equation and simplify:
b + c = 20
2b + c = 19
Thus, b = -1 , c = 19 and the general formula for the nth term is Tn = -n^2 - n + 21
