Answer:
1.
-3x + 8y = -5
6x + 2y = -8
Set the equations to a common variable.
-3x + 8y = -5 → 8y = 3x - 5 → y = 3/8x - 5/8
6x + 2y = -8 → 2y = -6x - 8 → y = -3x - 4
Set the equations equal to each other.
3/8x - 5/8 = -3x - 4
Combine like terms.
3x + 3/8x = -4 + 5/8
3.375x = -3.375
Divide by 3.375
x = -1
Plug x back in to find y.
-3x + 8y = -5
-3(-1) + 8y = -5
3 + 8y = -5
8y = -8
y = -1
answer: (-1, -1)
2.
3x + 2y = -16
-3x - 8y = 46
Set the equations to a common variable.
3x + 2y = -16 → 2y = -3x - 16 → y = -3/2x - 8
-3x - 8y = 46 → -8y = 3x + 46 → y = -3/8x - 23/4
Set the equations equal to each other.
-3/2x - 8 = -3/8x - 23/4
Combine like terms.
-9/8x = 9/4
or
-1.125x = 2.25
Divide by -1.125
x = -2
Plug x back in to find y.
3(-2) + 2y = -16
-6 + 2y = -16
2y = -10
y = -5
answer: (-2, -5)
Answer:
139°
Step-by-step explanation:
these angles are supplementary angles, meaning that when added together, they equal 180°
so you just need to subtract 41 from 180 which gets you 139.
I believe it is f(x) = 4x + 4. It is basically slope intercept notation, just with the function sign in front of it acting as the Y variable.
p -> q is represented as "If you have a library card, then you can check out books"
~q -> ~p is represented as "If you cannot check out books, then you do not have a library card" This is contrapositive by definition.
q -> p is represented as "If you can check out books, then you have a library card" This is the converse
~p -> ~q is represented as "If you do not have library card, then you cannot check out books". This is the inverse
p <-> q is represented as "You have library card if and only if you can check out books". This is the biconditional.
