(-2,-8) is what I got after reflecting it off the y=x line.
Answer:
Slove For X
x= -1
Solve for Y
Y= 10/3
Step-by-step explanation:
SO I did Elimination method
To isolate X and to solve for it
x+3y=9
3x−3y=−13
Add these equations to eliminate y:
4x=−4
Solve for X
x=-1
Now plug x back in to solve for y
She<span> is </span>going<span> to </span>pour<span> it </span>into<span> a </span>paint tray<span> that </span>measures 10 inches wide<span>, </span>12 inches long, and5 cm deep. (1 gallon<span> =... ... (</span>1 gallon<span> = </span>231 in3<span>, </span>1 inch<span> = </span>2.54 cm<span>) Which of the </span>following scenarios will<span>happen? a. The </span>paint will<span> not fill it
</span>
Answer:
See proof below
Step-by-step explanation:
We will use properties of inequalities during the proof.
Let 
. then we have that 
. Hence, it makes sense to define the positive number delta as 
(the inequality guarantees that these numbers are positive).
Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that 
, and if we prove this, we are done. To prove it, let 
, then 
. First, 
then 
hence 
On the other hand, 
then 
hence 
. Combining the inequalities, we have that 
, therefore as required.
