Answer:
see the attachment for a graph
Step-by-step explanation:
The vertex of f(x) is (0, 0). The transformation g(x) = f(x -h) +k moves the vertex to (h, k). That is, the graph is translated right by h units, and up by k units.
Your transformation has h = -2, and k = -4. That is, the original graph is translated left 2 units and down 4 units. The result is the blue curve in the attachment.
Answer:66.667
Step-by-step explanation:
Answer:
4x3y
Step-by-step hmmm ask your teacher
Answer:
We should invest in 7.74% compounded daily as it yields a higher return.
The total investment after 10 years is $10,841.22.
Step-by-step explanation:
<u>a.) at 7.74% compounded daily</u>
<u>
</u>
I assumed there are 365 days in a year.
<u>b</u><u>.</u><u>)</u><u> </u><u>a</u><u>t</u><u> </u><u>7</u><u>.</u><u>8</u><u>%</u><u> </u><u>c</u><u>o</u><u>m</u><u>p</u><u>o</u><u>u</u><u>n</u><u>d</u><u>e</u><u>d</u><u> </u><u>q</u><u>u</u><u>a</u><u>r</u><u>t</u><u>e</u><u>r</u><u>l</u><u>y</u>
<u>
</u>
Answer:
See answer below
Step-by-step explanation:
Define the intervals:
for n≥1.
The intervals are nested, in the sense that
To see this, use the fact that for all n≥1, -1/n≤-1/(n+1) and 1/n≥1/(n+1) (intuitively, the intervals are "shrinking" in size, and are centered around √2).
The only point common to all intervals is √2, in the sense that
The idea for this construction is to center the intervals around √2 and shrink their size with the summand 1/n. As n goes to infinity, 1/n tends to zero and the intervals became closer and closer to √2, but they NEVER degenerate to the point √2, in contrast to their intersection.