Mathematics, 06.10.2019 10:02, lottie2306

The length of a rectangle is 4 units greater than its width, and the area of the rectangle can be expressed by the equation y = x2 + 4x. what is a reasonable domain for this function?

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Hello :
a reasonable domain for this function is : ]0 ; + ∞[
because : x > 0 and x+4 > 0 f(x) = x(x+4) ... length ×width

answered: lukecarroll19521

All values of x greater than 0.

Step-by-step explanation:

Let x represent width of rectangle.

We have been given that the length of rectangle is 4 units greater than its width. So the length of rectangle would be x+4 .

$\text{Area of rectangle=\text{Width}\times \text{Length}$

$\text{Area of rectangle=x(x+4)$

$\text{Area of rectangle=x^2+4x$

The domain of a function is all real values of independent variable that the function can take on.

Since our given function represents the area of rectangle, where x represents width of rectangle, so the value of x should be a non zero and non-negative number.

Therefore, the domain of our given function would be $x0\text{ that is}(0,\infty)$

answered: Guest

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

answered: Guest

all group life insurance is term insurance. actually it is annual renewable term and it is rated on the average age and claims experience of the entire group, which is called "experience rating." remember, this type of insurance has a 31-day grace period and is convertible to whole life upon leaving employment. a contributory group plan requires that both the employer and the employees pay part of the premium. at least 75% of those eligible must participate, so the group is sure to get most of the healthy employees as well as those that are sick.

step-by-step explanation:

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The length of a rectangle is 4 units greater than its width, and the area of the rectangle can be ex...