geno3141

A) isn't true if x = 0 because 0⁰ ≠ 1.

B) isn't true if x = 0 because division by zero is undefined.

C) isn't true if x is a negative number, because of the difficulty of finding the square root of a negative number.

Therefore,  ...

If you are doing this without a calculator, first add 3 + 3 + 3 + 12 = 21

Then, simplify the fractions:  5(15/16) = 75/16      (multiply the 5 times 15, but not times the denominator)

And:  4(5/16) = 20/16.

Add the fractions together:  75/16 + 20/16 + 20/16 =  (75 + 20 + 20)/16  =  115/16

Simplifying 115/16 =  7 3/16

The final answer is:  21 + 7 3/16  =  28 3/16

The rules for the order of operations say that you must do multiplications before you do additions and subtractions, so the first part of that expression to evaluate is 10*0, which is 0.

So, you now have 10 + 0 + 10, which is 20.

The area of what?

The formulas for the areas of triangles, rectangles, circles, etc are different from each other.

The answer to x + x + x + x + x  =  450,000,000,000

is:                                       5x  =  450,000,000,000                       (add the x's together)

                                            x  =    90,000,000,000                       (divide by 5)

I don't understand what you wrote after that ...

To evaluate an exponent to an exponent, multiply the exponents together:  (8¹²)³  =  8³⁶

because 12 x 3 = 36.

_nC_r calculates the number of combinations of sub-groups of size 'r' taken from an initial group of size 'n'.

For instance, if there is a group of 20 persons and 4 are chosen to represent that group, there will be ₂₀C₄ possible groups. 

When using combinations, order is not important -- there will be a group of 4 persons but the group of {Tom, Betty, Mary, Carl} is the same group as {Betty, Carl, Mary, Tom}.

It is calculated with this formula:  n! / ( r! · (n - r)! ).

If you were stuck or did not understand me, I'd be willing to help you out. But, that attitude, and I say "So long!"

To find f(-2), replace the 'x' with '-2':  f(-2)  =  (-2)² + (-2) - 2

Now, simplify ...