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mrs_skeptik [129]
3 years ago
15

Simplify (x^-5) (x^2)*​

Mathematics
1 answer:
Pani-rosa [81]3 years ago
6 0

Answer:

1/x^3

Step-by-step explanation:

foil method

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Find the value of -5 - (- 6)-(-3)=
iVinArrow [24]

Answer: -5-(-6)-(-3)= 4

7 0
3 years ago
The perimeter of a rectangle is dependent on the length of each of its sides. Suppose the base of a rectangle is two more than i
Bezzdna [24]
Perimeter=4h+4

If the base is 2 more than the height, it gives us the equation:
b=h+2

The equation for the perimeter of a rectangle can be though of as 2b+2h, so substituting in (h+2) for b from the first equation, we get 2(h+2)+2h.

This can be simplified to be 2h+4+2h or 4h+4
4 0
3 years ago
A rectangular box without a lid is to be made from 48 m2 of cardboard. Find the maximum volume of such a box. SOLUTION We let x,
tatiyna

Answer:

The maximum volume of such box is 32m^3

V = x×y×z = 32 m^3

Step-by-step explanation:

Given;

Total surface area S = 48m^2

Volume of a rectangular box V = length×width×height

V = xyz ......1

Total surface area of a rectangular box without a lid is

S = xy + 2xz + 2yz = 48 .....2

To be able to maximize the volume, we need to reduce the number of variables.

Let assume the rectangular box has a square base,that means; length = width

x = y

Substituting y with x in equation 1 and 2;

V = x^2(z) ....3

x^2 + 4xz = 48 .....4

Making z the subject of formula in equation 4

4xz = 48 - x^2

z = (48 - x^2)/4x .......5

To be able to maximize V, we need to reduce the number of variables to 1, by substituting equation 5 into equation 3

V = x^2 × (48 - x^2)/4x

V = (48x - x^3)/4

differentiating V with respect to x;

V' = (48 - 3x^2)/4

At the maximum point V' = 0

V' = (48 - 3x^2)/4 = 0

Solving for x;

3x^2 = 48

x = √(48/3)

x = √(16)

x = 4

Since x = y

y = 4

From equation 5;

z = (48 - x^2)/4x

z = (48 - 4^2)/4(4)

z = 32/16

z = 2

The maximum volume can be derived by substituting x,y,z into equation 1;

V = xyz = 4×4×2 = 32 m^3

7 0
3 years ago
Create a equation where the solution is x= -5
Illusion [34]

x + 3 = 8

OR

4x - 4 = 16

hope this helps!

5 0
2 years ago
given matrix A is 2x3 matrix, matrix C is a 2x1 matrix and A x B = C. what are the demensions of matrix B?
nikitadnepr [17]

Answer:

L×W=A 6 x 2 =12

Step-by-step explanation:

length ×weight =area example:you need to measure a full sheet pan and let's say if it is 8 full sheet pan you weighs 23 so you want to multiply 8×23=184 that is your area okay 2×3=6 and 2×1=2 so to figure out the area multiply 6×2=12 so the answer is matrix B just remember length times weight equal areas

4 0
3 years ago
Read 2 more answers
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