Answer:
Step-by-step explanation:
( 
, 
)
( 
, 
)
m = 
y - = m( x - ) point - slope form of a line.
y = mx + b slope- intercept form of a line.
~~~~~~~~~~~~~~~~~
( - 2, - 7 )
( 0, - 4 )
m = 
= 
y - ( - 4 ) = ( x - 0 )
y + 4 = x
<em>y = </em><em> x - 4</em> slope- intercept form
<em>3x - 2y = 8</em> standard form
,
,
We find the probability of intersection using the inclusion/exclusion principle:
By definition of conditional probability,
For
and
to be independent, we must have
in which case we have
, which is true, so
and
are indeed independent.
Or, to establish independence another way, in terms of conditional probability, we must have
which is also true.
Answer:
y=5^x
Step-by-step explanation:
5 to whatever power will always be larger than 4, 3, or 2.
For example:
3 squared = 9
5 squared = 25
4 squared = 16
2 squared = 4
25 is greater than 9, 16, and 4
<span>(1,625) No
(0,-25) No
(-1,-1) No
Think about what an integer exponent means for an negative base and you'll understand this problem. For instance the powers of -25 would be
-25^1 = -25
-25^2 = (-25) * (-25) = 625
-25^3 = (-25)*(-25)*(-25) = -15625
and so on, giving 390625, -9765625, 244140625, etc.
But that's a different subject. For the ordered pairs given, let's check them out.
(1,625)
-25^1 + 1 = -25 + 1 = -24. And -24 is not equal to 625, so "No".
(0,-25)
-25^0 + 1 = 1 +1 = 2.
Note: Any real number other than 0 raised to the 0th power is 1. And 2 is not equal to -25, so "No".
(-1,-1)
-25^(-1) + 1 = 1/(-25^1) + 1 = 1/-25 + 1 = 24/25.
And 24/25 is not equal to -1, so also "No".</span>
Answer:
add the 2 equations together
Step-by-step explanation:
i was in class when I heard this so it should be correct
