<span><span><span>(3x−2)/</span><span>(x−1<span>)^2</span></span></span>=<span>A/(<span>x−1) </span></span>+ <span><span>B/x</span><span>(x−1<span>)^2
</span></span></span> =[<span><span>A(x−1)+Bx</span><span>(x−1<span>)] / 2</span></span></span></span>
3x-2=A(x-1)+Bx
3x-2=x(A+B)-A
A+B=3
-A=-2=>A=2
A+B=3=>2+B=3=>B=1
lets check our partial fraction
we have
<span><span><span>2/(<span>x−1) </span></span>+ <span>x/<span>(x−1<span>)^2 </span></span></span>= [<span><span>2(x−1)+x] / </span><span>(x−1<span>)^2
</span></span></span> =(<span><span>3x−2) / </span><span>(x−1<span>)^2</span></span></span></span></span>
Slope-intercept form is y = mx + b. all you have to do for this question is plug your given information in:
m = -3
b = 7
y = mx + b
y = -3x + 7
Place the x values (if there are two of the same x value you only include it once) in the first box vertically like:
5
-3
6
2
Place the y values (if there are two of the same y values only include it once) in the 2nd box vertically like:
1.2
7
-3
Now draw lines from your x values to their corresponding y values.
A function may NOT have two y-values assigned to the same x-value, but it may have two x-values assigned to the same y-value.
So this is a function!
Answer:
3, 9
Step-by-step explanation:
The only factors of 27 are 1, 3, 9, and 27, so we can look at the numbers and see which ones have a difference of 6. 3 and 9 have a difference of 6, so the numbers are 3 and 9. I hope I helped!
