Step 1: simplify the equation by using the distributive property where applicable and combining like trems
Step 2: Collect all the variables on one side by either adding or subtracting.
step 3:Using inverse operations for addition and subtraction can removecontants ,toget the vaiables and constants on opposite sides.
Step 4:Inverse operations, such as multiplying and dividing can be used to eliminate coefficients in front of variables to get the variables by themselves
Answer:
The answer is 1.23 miles per hour
Answer: It will take Jane 14 days to run 41 miles
Explanation: The problem asks how long it will take Jane to run 41 miles, we know Jane has ran 6 miles already so:
41-6= 35
Jane is running 2.5 miles a day therefore:
35 ÷ 2.5 = 14
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:
86
X.06
_____
516
+ 0000
_________
05.16
Step-by-step explanation:
