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schepotkina [342]
3 years ago
14

Compare the process of solving an equation and an inequality. What are the differences and the similarities?

Mathematics
1 answer:
zzz [600]3 years ago
7 0

when you solve an inequality the result is an interval when you solve an equation is a number or set ex x^2=25 x=-+5 the result is finite numbers

when you multimply an equation the sign inverses but when you solve an equation there is nothing to change

similiarities

you can add and subtract numbers from both sides

diving and multypling the equation or inequation by a positive numeber as i said in the beggining by multypling or dividing with a negative number the equation s sign inverses ex >= becomes <=

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Determine the volume of the solid that lies between planes perpendicular to the x-axis at x=0 and x=4. The cross sections perpen
OverLord2011 [107]

Answer:

Volume = 16 unit^3

Step-by-step explanation:

Given:

- Solid lies between planes x = 0 and x = 4.

- The diagonals rum from curves y = sqrt(x)  to  y = -sqrt(x)

Find:

Determine the Volume bounded.

Solution:

- First we will find the projected area of the solid on the x = 0 plane.

                              A(x) = 0.5*(diagonal)^2

- Since the diagonal run from y = sqrt(x) to y = -sqrt(x). We have,

                              A(x) = 0.5*(sqrt(x) + sqrt(x) )^2

                              A(x) = 0.5*(4x) = 2x

- Using the Area we will integrate int the direction of x from 0 to 4 too get the volume of the solid:

                              V = integral(A(x)).dx

                              V = integral(2*x).dx

                               V = x^2

- Evaluate limits 0 < x < 4:

                               V= 16 - 0 = 16 unit^3

3 0
3 years ago
When graphing inequalities, and you divide y by a negative number, do you switch the symbol?
xz_007 [3.2K]
Yes you need to! And you need to be careful not to forgot that when doing your calculations!!
4 0
3 years ago
Evaluate x+1 when x = 2.5
lina2011 [118]
Plug in 2.5 for x and you get

2.5+1 which equals 3.5
5 0
3 years ago
What is the rational number that is equivalent to a -24 / -6
saw5 [17]

Answer:

4

Step-by-step explanation:

hi! let's divide -24 and -6 to simplify this. this is the same answer as 24/6 since two negatives that are divided by each other equal a positive number, and 24 divided by 6 is 4, so the answer is 4.

5 0
4 years ago
√2+1<br> b) Rationalize the denominator:<br> √2+1
Misha Larkins [42]

Answer:

there is not a complete question here ...

\sqrt{2} +1 is not in a denominator to rationalize

if it were you would multiply the rational expression (the fraction)

by \frac{\sqrt{2} -1}{\sqrt{2} -1} the result (in the denominator would end up being "2 -1"

which is 1

Step-by-step explanation:

4 0
3 years ago
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