k = 5
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
Since the coefficient of the x² term is 1 then
add/ subtract (half the coefficient of the x-term )² to x² - 6x
f(x) = x² + 2(- 3)x + 9 - 9 + 14 = (x - 3)² + 5 → k = 5
To solve this problem, we have to use the area of both gauze or the dimensions on each gauze and compare them. we can see that the sheets are not similar as they have different areas.
<h3>Area of Rectangle</h3>
The area of a rectangle is given as the product between the length and it's width.
Data;
- Length = 9in
- Area = 45in^2
- width = ?
- length 2 = 4in
- width 2 = 3in

In the first gauze, the area is given as 45in^2 and we have value of the length. To find the width of the first gauze can be calculated as

We can see that the width are not equal so is their length.
But if we would truly compare them, the accurate way to do that is by their area
The area of the second gauze is given by

From the above calculations, we can see that the sheets are not similar as they have different areas.
Learn more on area of a rectangle here;
brainly.com/question/25292087
In this question, it is given that
Walter wants computer software that cost $129. He has $57 saved.
he saves a maximum of $15 a week, the following inequality can be used to find how many weeks it will take Walter to save enough money to buy the software.

And we have to solve this inequality for x.
First we subtract 57 to both sides. And on doing so , we will get

Dividing both sides by 15.
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Correct option is A.