Answer:any number is correct
Step-by-step explanation:
4(3x+1)=12x+4
12x+4=12x+4
12x-12x=4-4
0=0
This equation has no answer.
Actually any number you put in place of x this equation will be true so we can say the answer is
X=infinity
Answer:
a. length = 0.7211 ft
b. width = 0.7211 ft
c. height = 140.3846 ft
Step-by-step explanation:
This is an optimiztion with restriction problem.
We have to minimize the cost, with the restriction of the volume being equal to 72 ft3.
As the cost for the sides is constant, we know that length and width are equal.
Then, we can express the volume as:

being x: length and z: height
We can express the height in function of the length as:

Then, the cost of the box can be expressed as:

To optimize C, we derive and equal to zero
![\dfrac{dC}{dx}=\dfrac{d}{dx}[0.8x^2+0.6x^{-1}]=1.6x-0.6x^{-2}=0\\\\\\1.6x=0.6x^{-2}\\\\x^{1+2}=0.6/1.6=0.375\\\\x=\sqrt[3]{0.375} =0.7211](https://tex.z-dn.net/?f=%5Cdfrac%7BdC%7D%7Bdx%7D%3D%5Cdfrac%7Bd%7D%7Bdx%7D%5B0.8x%5E2%2B0.6x%5E%7B-1%7D%5D%3D1.6x-0.6x%5E%7B-2%7D%3D0%5C%5C%5C%5C%5C%5C1.6x%3D0.6x%5E%7B-2%7D%5C%5C%5C%5Cx%5E%7B1%2B2%7D%3D0.6%2F1.6%3D0.375%5C%5C%5C%5Cx%3D%5Csqrt%5B3%5D%7B0.375%7D%20%3D0.7211)
The height z is then

MARK ME AS A BRAINLIST..........
Answer:
It would be A
Step-by-step explanation:
difference means subtraction, in in order to avoind PEMDAS making it the difference of 3 times 8 and x, you need to add parentheses.
sorry if that made no sense lol
Answer:
Let's define the variable x as the number of apples in each bag.
We know that she bought 4 bags, then the total number of apples that she has is:
Apples = 4*x
Now she eats one apple for each bag, then she eats 4 apples, so she now has:
Apples = 4*x - 4
And we know that this is equal to 28, then:
4*x - 4 = 28
now we can solve this for x.
4*x = 28 + 4 = 32
x = 32/4 = 8
x = 8
There are 8 apples in each bag.
For the diagram part, by a small online search y found the image that you can see below.
The diagram that correctly represents this situation is diagram C, where x represents the number of apples in each bag.