Answer:
x = 1.
Step-by-step explanation:
y = k(x + 3)
When x = 3 y = 12 so
12 = k(3 + 3)
6k = 12
k = 2.
So the relation is y = 2(x + 3)
When y is 8:
8 = 2(x + 3)
2x = 8 - 2*3 = 2
x = 1.
Answer:
Step-by-step explanation:
<u>Given sequence:</u>
- log x + log√2, 2logx + log 2, 3logx + log2√2, ...
a)
<u>The terms can be rewritten as:</u>
- T(1) = log x + log√2 = log x√2
- T(2) = 2logx + log 2 = 2logx + 2 log√2 = 2log x√2
- T(3) = 3logx + log2√2 = 3logx + 3log√2 = 3log x√2
- ...
- T(n) = n log x√2 (option A)
b)
<u>Sum of the first n terms:</u>
- log x√2 + 2log x√2 + ... + nlog x√2 =
- log x√2(1 + 2 + ... + n) =
- log x√2 (1 + n)*n/2 =
- 1/2n(n + 1)log x√2
<u>Sum of the first 40 terms:</u>
- 1/2*40(40 + 1)log x√2 =
- 820log x√2
5+d>5−d
solve for d. First, isolate the d. Add d to both sides, and subtract 5 from both sides
5 (-5) + d (+d) > 5 (-5) - d (+d)
d + d > 5 - 5
2d > 0
Next, to isolate the d, divide 2 from both sides
2d/2 > 0/2
d > 0
d > 0, or (D) is your answer
hope this helps
Answer:
y = -2x + 12
Step-by-step explanation:
because I took the quiz (k12)