77 duhh becausefactors are what you multiply with so 7 times 11 is 77 like I said duhhhhhhh
The response
the point A(-6, 2)
we know that <span>-y+x ≤ -6, the point satisfying this is </span><span>A(-6, 2)
proof -2+ (-6) = -8 less than -6</span>
Answer:
Check pdf
Step-by-step explanation:
The only factoring you need to do is already done for you:
<em>x</em>² + <em>x</em> - 12 = (<em>x</em> + 4) (<em>x</em> - 3)
What you're asked to do is decompose
(3<em>x</em> - 4) / (<em>x</em>² + <em>x</em> - 12)
into partial fractions, i.e. find <em>a</em> and <em>b</em> such that
(3<em>x</em> - 4) / (<em>x</em>² + <em>x</em> - 12) = <em>a</em> / (<em>x</em> + 4) + <em>b</em> / (<em>x</em> - 3)
Multiply both sides by <em>x</em>² + <em>x</em> - 12 :
3<em>x</em> - 4 = <em>a</em> (<em>x</em> - 3) + <em>b</em> (<em>x</em> + 4)
3<em>x</em> - 4 = (<em>a</em> + <em>b</em>) <em>x</em> + (-3<em>a</em> + 4<em>b</em>)
So we have
<em>a</em> + <em>b</em> = 3
-3<em>a</em> + 4<em>b</em> = -4
and solving this system gives
<em>a</em> = 16/7 and <em>b</em> = 5/7
so you should submit the numbers in bold:
(3<em>x</em> - 4) / (<em>x</em>² + <em>x</em> - 12) = 16 / (7 (<em>x</em> + 4)) + 5 / (7 (<em>x</em> - 3))
Answer:
As the givens set A contains 24 elements.
Therefore,
The Cardinality of the set A = 24
Step-by-step explanation:
Let the given set is A
A = {x: x is a positive counting number less 25}
The set of natural numbers is often termed as the Counting number set.
-
As the counting numbers are less than 25.
Thus,
Set A will be:
<u>The Cardinality of the set</u>
The Cardinality of the set represents the total number of elements in a given set.
As the givens set A contains 24 elements.
Therefore,
The Cardinality of the set A = 24
