Using the stated transformation, the graph of g(2x) is given at the end of the answer.
<h3>Horizontal stretch and compression</h3>
An horizontal stretch or an horizontal compression happens when a constant is multiplied at the domain of the function, as follows:
g(x) = f(ax).
The definition of stretch or compression depends on the value of the constant a, as follows:
- If a > 1, it is a compression by a factor of 1/a.
- If a < 1, it is a stretch by a factor of 1/a.
In this problem, the rule is:
f(x) = g(2x).
Meaning that f(x) is an horizontal compression by a factor of 1/2 of g(x), and then the vertices are given as follows:
That is, in each vertex, the x-coordinate was divided by 2, and thus the graph with these vertices is given at the end of the answer.
More can be learned about transformations at brainly.com/question/28725644
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The sum of the given series can be found by simplification of the number
of terms in the series.
- A is approximately <u>2020.022</u>
Reasons:
The given sequence is presented as follows;
A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021
Therefore;
The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;
Therefore, for the last term we have;
2 × 2043231 = n² + 3·n + 2
Which gives;
n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0
Which gives, the number of terms, n = 2020
Which gives;
Learn more about the sum of a series here:
brainly.com/question/190295
Answer:
plleaseeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeee
Step-by-step explanation:
X/4 = r3 or 3/4
x/3 = r2 or 2/3
x/5 = r3 or 3/5
we know x is not divisible by 4 3 or 5 and is less than 30.
we know the value ends in 3 or 8 from x/5 = r3
we know the value is greater than 3 from r3
so far we got 13 and 23
13 is eliminated from x/4 = r3 because it is r1 not r3
so the answer is 23
Answer:
- 400 adult tickets
- 325 children's tickets
Step-by-step explanation:
Let x represent the number of adult tickets sold. Then 725-x is the number of children's tickets sold, and the total revenue is ...
2.50x +1.50(725 -x) = 1487.50
1.00x + 1087.50 = 1487.50 . . . . . eliminate parentheses
x = 400 . . . . . . . . . . . . . . . . . . . . . subtract 1087.50
There were 400 adult tickets and 325 children's tickets sold.
