Answer:
Step-by-step explanation:
9514 1404 393
Answer:
(c) h(x) = (3x +4)(2x +1)
Step-by-step explanation:
The answer choices differ in the values they create for the last two terms of the trinomial. The last term (+4) is created by all of the choices except the first one.
The middle term (11x) is only created by the third choice:
(3x +4)(2x +1) = (3x)(2x) +(3x)(1) +(4)(2x) +(4)(1)
= 6x^2 +3x +8x +4
= 6x^2 +11x +4 . . . . matches the given h(x)
We can determine this to be a Geometric Sequence with:
a = 2
r = 1/2
an = ?
We must first find an. We know that an = 1/256, therefore we can use this formula to discover an:
an = a * r^n-1
1/256 = 2 * 1/2^n-1
<span>1/256 / 2 = 1/2^n-1
</span>1/512 = 1/2^n-1
<span>log(1/512) = log(1/2^n-1)
</span>9 = n - 1
10 = n
Therefore, we know an = 10
Now we input it into this equation and solve:
Sn = a(1-r^n/1-<span>r)
</span>Sn = 2(1-1/2^10/1-1/2<span>)
</span>Sn = 2(1023/1024 / 1 / 2)
Sn = 2(1023/1024 * 2 / 1)
<span>Sn = 2(2046/1024)
</span><span>Sn = 2(1023/512)
</span>Sn = 1023/256
Sn = 3.992
Geez, that took awhile... xD
The function is linear because y increases at a constant rate.
Answer: -1
Step-by-step explanation:
f(-4)=4-5
Since your x is negative and this problem requires -x to find y, you switch the sign to positive.