We will use demonstration of recurrences<span>1) for n=1, 10= 5*1(1+1)=5*2=10, it is just
2) assume that the equation </span>10 + 30 + 60 + ... + 10n = 5n(n + 1) is true, <span>for all positive integers n>=1
</span>3) let's show that the equation<span> is also true for n+1, n>=1
</span><span>10 + 30 + 60 + ... + 10(n+1) = 5(n+1)(n + 2)
</span>let be N=n+1, N is integer because of n+1, so we have
<span>10 + 30 + 60 + ... + 10N = 5N(N+1), it is true according 2)
</span>so the equation<span> is also true for n+1,
</span>finally, 10 + 30 + 60 + ... + 10n = 5n(n + 1) is always true for all positive integers n.
<span>
</span>
Y= 2.50(x) + $20 is the linear equation
If 15 videos are rented
Y=2.50(15) + $20
Y= $57.50
67.50 = 2.50(x) + 20
19= x
19 videos were rented in 3 months
Answer:
440 seagulls
Step-by-step explanation:
Total number of seagulls in flock = Number of seagulls have banded / Percentage of seagulls have banded
Total number of seagulls in flock = 22 / 5%
Total number of seagulls in flock = 22 / 0.05
Total number of seagulls in flock = 440 seagulls
For f(x)=ax^2+bx+c
the axis of symmetry is -b/2a
f(x)=2x^2+4x+2
a=2
b=4
-4/(2*2)=-4/4=-1
the axis of symmetry is x=-1
B
