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Marina86 [1]
2 years ago
5

The volume of a crate with length of x feet, width of 8 - x feet, and a height of x - 3 feet is given by V(x)=x(8−x)(x−3) find t

he maximum volume of the crate and the dimensions for this volume

Mathematics
1 answer:
Ksenya-84 [330]2 years ago
6 0
First, we need to find the maximum volume. In order to do this, we will first look at the dimensions of x and 8-x in the equation for volume. We can see that as x increases, so does 8-x. This means that there is a positive correlation between them. This also tells us that as x continues to increase, there will be a point where 8-x will equal 0. The maximum volume will occur when 8-x equals 0.

Therefore, the dimensions for the maximum volume are x=8 and x=-3.

Now we can solve for the actual maximum volume:

V max =(8)(8)-(3)(8)=64.

The maximum volume is 64 cubic feet and the dimensions for this volume are 8x=-3
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Evaluate the following expressions: 2(−1 + 3) − 7
Svetach [21]

Answer:

-3 is the answer.

Step-by-step explanation:

=2(-1+3)-7

=2(2)-7

=4-7

=-3

Hope it will help you :)

7 0
3 years ago
Four more than three times n equals -5
Verizon [17]
3n+4=-5

do the opposite of adding 4. this means you have to subtract 4 from 4. whatever you do to the problem, you must do to the answer. now subtract 4 from -5.

-5-4=-9

since 4-4=0, we can take 4 out of the equation. now you have:

3n=-9

now divide -9 by 3

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hope this helps :)
5 0
3 years ago
Use the function below to find F(3).<br> )(<br> F(x)=(1/4)^x
natali 33 [55]

Answer:

1/64

Step-by-step explanation:

F(3) means to use 3 in place of x in the given equation.

f(x) = (1/4)^x

f(3) = (1/4)^3

Either use exponents rules:

= 1^3 / 4^3

= 1 / 64

or just use the meaning of exponents

= 1/4 × 1/4 × 1/4

= 1/64

3 0
1 year ago
If two is added to four times a certain number, the result <br> is 26. What is the number?
olga2289 [7]
The number is 8 because 4 times 8 equals 24 plus 2 is 26
6 0
3 years ago
Read 2 more answers
Help me in math please
dsp73
Answer: Choice A

Proof:
Replace x with 1 and y with 2. This is because (x,y) = (1,2) so x = 1 and y = 2.

Doing both replacements and simplifying leads to...

2*x - y = 0
2*1 - 2 = 0
2 - 2 = 0
0 = 0

That confirms (x,y) = (1,2) is a point on the line.
It confirms (1,2) is a solution to the equation.
4 0
3 years ago
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