(f+g)(x) = f(x) + g(x)
(f+g)(x) = [ f(x) ] + [ g(x) ]
(f+g)(x) = [ 3x-2 ] + [ 2x+1 ]
(f+g)(x) = (3x+2x) + (-2+1)
(f+g)(x) = 5x - 1
Answer is choice B
Answer:
−2 ∉ {−6,−3,−5,−1}
Step-by-step explanation:
Given
Set = {−6,−3,−5,−1}
Element = -2
Required
The interpretation of the question is to state if -2 is an element of the given set or not
The first thing to do is to check through the set to count the number of occurrence of -2
Looking through Set = {−6,−3,−5,−1}, we have that the occurrence of -2 is 0
This implies that -2 is not an element of the given set and this is represented by the symbol ∉
Hence:
−2 ∉ {−6,−3,−5,−1}
Answer:
Option C 
Step-by-step explanation:
step 1
Find the slope of AB
we have
A(-3,-1) and B(4,4)
The slope m is equal to


step 2
Find the slope of BC
we know that
If two lines are perpendicular, then the product of their slopes is equal to -1
so

we have

substitute


step 3
Find the equation of the line into slope point form

we have


substitute

Multiply by 5 both sides



Multiply by -1 both sides

If 5 and less then D but if just less than 5 then B
-8n+7=31
-8n+7-7=31-7
-8n=31-7
-8n=24
-8n÷(-8)=24÷(-8)
n=24÷(-8)
n=-24÷8
n=-3