Answer:
x-intercept = 4
y-intercept = −10
Step-by-step explanation:
x-intercept: Plug 0 in for
to get this:

y-intercept: Plug 0 in for
to get this:

I am joyous to assist you anytime.
Answer:
so u will pay 3.82 and u will save 15.26 dollars
Step-by-step explanation:
Answer:
z = 3
Step-by-step explanation:
Since the points are collinear then the slopes between the points are equal.
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = P (2, - 3) and (x₂, y₂ ) = Q (3, - 2)
m =
= 1
Repeat with
(x₁, y₁ ) = Q (3, - 2) and (x₂, y₂ ) = R (8, z )
m =
=
, then
= 1 ( multiply both sides by 5 )
z + 2 = 5 ( subtract 2 from both sides )
z = 3
The inclusion/exclusion principle states that

That is, the union has as many members as the sum of the number of members of the individual sets, minus the number of elements contained in both sets (to avoid double-counting).
Therefore,

will have the most elements when the sets

and

are disjoint, i.e.

, which would mean the most we can can in this case would be

(Note that

denotes the cardinality of the set

.)
Range is y so we set -5x = whatever number you pick from the range values listed, so
-5x = -5 making x=1
-5x = 0 making x=0
-5x = 10 making x=-2
-5x = 15 making x=-3
The domain is {1,0,-2,-3}