Answer:
2/13
Step-by-step explanation:
For a deck of card
Total cards = 52
Total spade = 4
Total diamond = 4
pr(drawing a spade) = number of spade/total cards
pr(drawing a spade) = 4/52 = 1/13
pr(drawing a diamond) = 4/52 = 1/13
Pr(diamond or a spade) = 1/13 + 1/13 = 2/13
Answer:
y=15
x=43
(any variable can be used, I used x and y to make it easier to show)
Step-by-step explanation:
x+y=58
x-y=28
get x by its self
x=58-y
then subsitute into the other equation
(58-y)-y=28
58-2y=28
-2y=-30
y=15
sub. again
x+15=58
x=43
Answer:
4/125
Step-by-step explanation:
Answer:
a. y^ -1 = e^x +2
Step-by-step explanation:
y = ln (x-2)
Exchange x and y
x = ln (y-2)
Solve for y
Raise each side with a base of e
e^ x = e^(ln(y-2)
e^x = y-2
Add 2 to each side
e^x +2 =y
Answer:

Step-by-step explanation:
The standard form of a quadratic is:

To complete the square, the a (leading coefficient) must be 1 and there can only be terms with variables on one side.
The expression given:

follows these rules. Next, we divide the b (linear coefficient) by 2, then square it. Basically:

The b in the expression is -18.


This is the number that is added.