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MariettaO [177]
3 years ago
15

I need this ASAP I only have 10 mins!!!

Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
8 0

Answer: subtract 7 from both sides

Step-by-step explanation:

slamgirl [31]3 years ago
5 0
The answer is the first one
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What is the maximum volume in cubic inches of an open box to be made from a 12-inch by 16-inch piece of cardboard by cutting out
Romashka-Z-Leto [24]

If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides 12-2x and 16-2x, and a height of x.

So, the volume will be given by the product of the dimensions, i.e.

(12-2x)(16-2x)x = 4x^3-56x^2+192x

The derivative of this function is

12x^2-112x+192

and it equals zero if and only if

12x^2-112x+192=0 \iff x = \dfrac{14\pm 2\sqrt{13}}{3}

If we evaluate the volume function at these points, we have

f\left(\dfrac{14-2\sqrt{13}}{3}\right) = \dfrac{64}{27}(35+13\sqrt{13})> f\left(\dfrac{14-2\sqrt{13}}{3}\right) = -\dfrac{64}{27}(13\sqrt{13}-35)

So, the maximum volume is given if you cut a square with side length

x=\dfrac{14-2\sqrt{13}}{3}\approx 2.7

5 0
3 years ago
Car rentals involve a $130 flat fee and an additional cost of $31.67 a day. What is the maximum number of days you can rent a ca
Elanso [62]
With a $500 budget you can rent a car for 11 days as $500-$130 is $370 which you then divide by $31.67 which gives you 11.682
3 0
4 years ago
A bag of marbles consists of 14 blue marbles and 7 red marbles. If you reach into the bag and choose 2 marbles,
julsineya [31]

Answer:

chances are 10.5

Step-by-step explanation:

8 0
3 years ago
Complete the solution of the equation. Find the value of y when x equals 4. -7x + y = -22
xz_007 [3.2K]

-7x + y = -22

-7*4 + y = -22

y = -22 + 28

y = 6

4 0
3 years ago
How much of the sphere do you have to paint red so that no matter ow you put a cube in it, some corner touches red?
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Explanation:

To achive that you have to piant a ring in red, which will have its big diameter equal to the sphere diameter and its small diameter equal to the cube diagonal.

The diagonal of the cube can be calculated using Pithagoras:

D^2=L^2+L^2

Where D is the diagonal and L is the side of the cube

4 0
3 years ago
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