Answer:
A. 
Step-by-step explanation:
Let
be the equation of the perpendicular line.
Two perpendicular lines have slopes with product equal to -1. The slope of the given line is
Hence,

is the slope of needed line.
This line passes through the point (-4,2), so its coordinates satisfy the equation:

Therefore, the equation of the line is

Answer:
Step-by-step explanation:
Good evening ,
_______________
a) p(rat)=1-(0,35+0,4+0,1)
b) p(cat ∪ hamster)=0,35+0,1
c) p(dog then dog)= (0,4)²
:)
Answer:
Step-by-step explanation:
As the statement is ‘‘if and only if’’ we need to prove two implications
is surjective implies there exists a function
such that
.- If there exists a function
such that
, then
is surjective
Let us start by the first implication.
Our hypothesis is that the function
is surjective. From this we know that for every
there exist, at least, one
such that
.
Now, define the sets
. Notice that the set
is the pre-image of the element
. Also, from the fact that
is a function we deduce that
, and because
the sets
are no empty.
From each set
choose only one element
, and notice that
.
So, we can define the function
as
. It is no difficult to conclude that
. With this we have that
, and the prove is complete.
Now, let us prove the second implication.
We have that there exists a function
such that
.
Take an element
, then
. Now, write
and notice that
. Also, with this we have that
.
So, for every element
we have found that an element
(recall that
) such that
, which is equivalent to the fact that
is surjective. Therefore, the prove is complete.
Answer:
$92.86
Step-by-step explanation:
Since it's AT LEAST 1800, the inequality sign would be ≥ 1800
Equation:
500 + 14x ≥ 1800
14x ≥ 1800 - 500
14x ≥ 1300
x ≥ 92.86
Answer:
No Solutions
Step-by-step explanation:
Step 1:
5x + 9 = 2x + 7 + 3x - 15 Equation
Step 2:
5x + 9 = 5x - 8 Add and Subtract
Step 3:
9 = - 8 Subtract 5x on both sides
Answer:
9 ≠ - 8 9 cannot equal - 8
Hope This Helps :)