5 possibly cause the state of numbers have a typical pattern! NOT SURE THO!!! but a little help! <3 goodluck.
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))
<span>The fully covered premium amounts to $4,668. Next, we calculate the partially covered premium using:
25% * 9,264 = 2,316
Now, the total annual premium paid by Mr. Henderson's employer is equivalent to the sum of the completely covered premium and partially covered premium. This is:
4,668 + 2,316
= $6,984 of the Henderson family's annual premium is covered by Mr. Henderson's employer</span>
Answer:
The required equation is
4p = 2.24
And p = 0.56 [ where p is in $]
Step-by-step explanation:
Given that Selena buys 4 peaches that weight 1 pound in all.
Peaches are on sale for $2.24 per pound.
Since the total weight of peaches is 1 pound.
So the price of 4 peaches is $2.24.
Let p be the price of 1 peaches.
Then the price of 4 peaches is $(4×p)
= $4p
According to the problem,
4p = 2.24
⇒p=0.56 [ where p is in $]
The required equation is
4p = 2.24
And p = 0.56 [ where p is in $]
Answer:
$76 x 1.20 = $92
$92 / 1.20 = $76
To keep and show decimals we divide 20 by 100 to show 1.02 then show any 2 placement decimals if none are shown in draft first then you can try in draft 20/1000 to see the difference between the decimals.
Step-by-step explanation:
