A box without a top is to be made from a rectangular piece of cardboard, with dimensions 4 in. by 8 in., by cutting out square c
orners with side length x and folding up the sides.
Write an equation for the volume V of the box in terms of x.
Use technology to estimate the value of x, to the nearest tenth, that gives the greatest volume. Explain your process.
Write an equation for the volume V of the box in terms of x.
Use technology to estimate the value of x, to the nearest tenth, that gives the greatest volume. Explain your process.
1 answer:
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Answer:
A)
Step-by-step explanation:
Given:
A graph of a function.
When we analyze the given graph, it is of a <em>parabola</em>.
To find:
The interval of values of where the function is increasing.
Solution:
First of all, let us learn about the meaning of increasing and decreasing functions.
1. A function is known as increasing in an interval
when
Value of y keeps on increasing when we move from the value of x from a to b.
2. A function is known as decreasing in an interval
when
Value of y keeps on decreasing when we move from the value of x from a to b.
On analyzing the given graph , we can see that the graph is decreasing on the interval:
and is increasing on the interval:
When we choose from the options,
The correct answer is option A)
Answer:
3/2 < x < 2
Step-by-step explanation:
We assume the problem is ...
[tek]\dfrac{1}{x-2}<-2[/tex]
This will not be true for x-2 > 0 because that would make the left side positive. So, we must have x < 2, which makes the denominator negative. Multiplying by (x-2), we get ...
1 > -2(x -2)
1 > -2x +4
2x > 3 . . . . . . add 2x-1
x > 3/2
From above, we also have x < 2, so the solution set is ...
3/2 < x < 2
