Answer:
29
Step-by-step explanation:
The n th term of an arithmetic sequence is
• = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
d = 1 - 7 = - 5 - 1 = - 6 and a₁ = 7, = - 161, hence
7 - 6(n - 1) = - 161 ← solve for n
7 - 6n + 6 = - 161
13 - 6n = - 161 ( subtract 13 from both sides )
- 6n = - 174 ( divide both sides by - 6 )
n = 29
There are 29 terms in the sequence
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
#SPJ1