Answer:
45d + 42
Step-by-step explanation:
-7(-7d - 6) - 4d
49d + 42 - 4d
49d - 4d + 42
45d + 42
Let's look at the terms of the sequence for different values of n, starting from 0.
a₀ = 0/1 = 0
a₁ = 1/(1 +1) = 1/2
a₂ = 2/(2 + 1) = 2/3
a₃ = 3/(3 + 1) = 3/4
a₄ = 4/5
a₅ = 5/6
a₆ = 6/7
a₇ = 7/8
a₈ = 8/9
a₉ = 9/(9+1) = 9/10
a₁₀ = 10/(10+1) = 10/11 and so on
Let's look at the terms. As n gets bigger the terms gets closer to 1. We started with 0, then to one half, then two thirds, and as we get larger and larger, the terms are getting closer to 1. Let's choose a really big n and see.
a₉₉₉ = 999/(999 + 1) = 999/1000
Or an even bigger n:
a₉₉₉₉₉₉₉₉₉ = 999999999/(999999999 + 1) = 999999999/1000000000ⁿ
So as n gets really really large - and close to infinity - the terms get closer to 1.
Answer: We can get all of the answers by looking at the parts of the graph.
1) The height of the board is about 10, that is all the way at the left.
2) The maximum height is 10.8 at the vertex of the graph.
3) The time at the vertex is 0.4 seconds.
4) The diver enters the water after 1.9 seconds, it is at the bottom right.
Answer:
A. $2.89(m)=$40
B. 13 songs
Step-by-step explanation:
$2.89(m)=$40
m=$40/$2.89
m=13.84
She can download a maximum of 13 songs
Check:
$2.89 (13 songs)=$37.57
$40-$37.57=$2.43 left on her gift card
m=13.84, check that 0.84 of the cost of a song is left over 0.84*$2.89=$2.43
