Answer:
D) 35, 38, 41, 44, 47, 50,...
Step-by-step explanation:
The general term of an arithmetic sequence is
, where n ∈N and n ≥ 1.
When n=1,

When n=2,

When n=3,

When n=4,

When n=5,

When n=6,

Hence the sequence is 35, 38, 41, 44, 47, 50,...
The correct answer is D
The value k needed for the transformation of f(x) to g(x) = f(k · x) is equal to 3.056.
<h3>How to find the find the dilation factor</h3>
In this problem we have the following relationship bewteen the two <em>quadratic</em> equations: g(x) = f(k · x), which means that for all y the following relationship between f(x) and g(x):

Let suppose that y = 3, then
and
, then the value k is:
k = (- 5.5)/(- 1.8)
k = 3.056
The value k needed for the transformation of f(x) to g(x) = f(k · x) is equal to 3.056.
To learn more on transformations: brainly.com/question/11709244
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Answer:
n < -10
Step-by-step explanation:
In order to get the variable n by itself subtract 7 from both sides across the inequality
n + 7 < -3
-7 -7
n < -10
Simple interest is where 3% of the original value is added on each year
goal number = $102
original number = $680
3% of $680 can be found by getting 1% and multiplying by 3
100% = original number = $680
100% / 100 = 1% so $680 / 100 = $6.80 = 1%
3% = $6.80 * 3 = $20.40
so each year the money rises by $20.40
to find out how many years it would take to get to $102:
$102 / $20.40 = 5 years
Answer:
y = x - 4
Step-by-step explanation:
In y = ax + b form, a is the slope and b is the y intercept so a = 1 and b = -4, thus y = x - 4