Let's simplify step-by-step.<span><span><span><span>52x</span>+<span><span>43<span>y92</span></span>x</span></span>+<span><span>3<span>y15</span></span>y</span></span>+<span><span><span><span><span><span><span><span><span>8<span>x6</span></span>x</span><span>y23</span></span>x</span><span>y6</span></span>x</span><span>y32</span></span>x</span>y
</span></span><span>=<span><span><span><span>52x</span>+<span><span>43x</span><span>y92</span></span></span>+<span>3<span>y16</span></span></span>+<span><span>8<span>x10</span></span><span>y62
</span></span></span></span>Answer:<span>=<span><span><span><span><span>43x</span><span>y92</span></span>+<span><span>8<span>x10</span></span><span>y62</span></span></span>+<span>3<span>y16</span></span></span>+<span>52<span>x</span></span></span></span>
Polynomial division yields
As
, you have the remainder term approaching
, so the horizontal asymptote is the line
.
The sum of the first n terms in a geometric sequence given the first term (a1) and the common ratio (r) is calculated through the equation,
<span>Sn </span>= (<span><span><span>a1</span>(1−<span>r^n</span>) / (</span><span>1−r)
Substituting the known terms,
Sn = (20)(1 - (1/4)^4)) / (1 - 1/4)
Sn = 26.5625
Thus, the sum of the first four terms is 26.5625. </span></span>
Answer:
The solution is (-2,-2)
Step-by-step explanation:
This is the point where the two graphs intersect.
and give your answer as a reacurring decimal