Answer:

The domain for x is all real numbers greater than zero and less than 5 com
Step-by-step explanation:
<em><u>The question is</u></em>
What is the volume of the open top box as a function of the side length x in cm of the square cutouts?
see the attached figure to better understand the problem
Let
x -----> the side length in cm of the square cutouts
we know that
The volume of the open top box is

we have



substitute

Find the domain for x
we know that

so
The domain is the interval (0,5)
The domain is all real numbers greater than zero and less than 5 cm
therefore
The volume of the open top box as a function of the side length x in cm of the square cutouts is

Answer:
Option A
Step-by-step explanation:
The answer is Option A because
can be writen as
.
Answer:
Is it any of the rational numbers? There are an infinite number of rational numbers. Rational numbers are any numbers that can be written as a fraction. All the integers between those two points (-2, -1, 0, etc.) are all rational. Any of the numbers between the points would be too. 1/2, 1/3, 2 1/3, etc.
Step-by-step explanation:
Given:

To find:
The value of x.
Solution:
We have,

To find the value of x, we need to isolate x on one side.
Subtract 2b from both sides.

Divide both sides by -3. On multiplying or dividing an inequality by a negative number, we need to change the sign of inequality.


The required inequality for x is
.
Therefore, the correct option is A.
To find the price of the stock after 12 weeks, you would have to plug in 12 to x
That would make your equation: y = -0.91(12) + 103.47
Then, you solve:
-0.91(12) would be -10.12
Your equation will now look like this:
y = - 10.12 + 103.47
Then you add -10.12 to 103.47
-10.12 + 103.47 = 92.55
y = 92.55
After 12 weeks, the price of the stocks would be $92.55