Answer:
Step-by-step explanation:
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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B
5,000
because the library has more than or = to 5000 books.
53. The ratio of apple over orange = 3:2 The total number of fruits are 60 pieces. Now, find the total number of apples and total number of oranges. => first, let’s add 2 + 3 = 5 Thus, we have 5 division for 60 pieces fruits, => 60 / 5 => 12 let’s solve for the apple => 12 x 3 = 36 Now. The orange => 12 * 2 = 24 => 36 + 24 = 60 Thus the ratio is 36 : 24
Answer:
Part 9) The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13
Part 10) The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot
Step-by-step explanation:
Part 9)
Let
x ----> number of items on Emily's grocery list
x ----> number of items on Bobby's grocery list
we know that
----> equation A
----> equation B
Solve by substitution
Substitute equation A in equation B
solve for x
Find the value of y
therefore
The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13
Part 10)
Let
x ----> the height of the taller bookshelf in feet
y ----> the height of the shorter bookshelf in feet
we have
----> equation A
Remember that
To convert inches to feet divide by 12
so
----> equation B
Solve the system by substitution
substitute equation A in equation B
solve for y
Find the value of x
therefore
The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot