geno3141

3^1/4 · 27^1/4  =  (3·27)^1/4  =  (81)^1/4  =  3     (because 3⁴ = 81)

The usual formula for the area of a circle is:  A  =  π·r²

Since the diameter is 20 inches, the radius will be 10 inches.

The formula for the total area of the pizza:  A  =  π·10²   --->   A  =  100π

Dividing the area into 8 equal pieces:  100π/8   --->   12.5π  ≈  39.27 sq in

First, sove the equation for y:

x - y  =  2

   -y  =  -x + 2

     y  =  x - 2

Then, replace 'y' with 'f(x)':

  f(x)  =  x - 2

7/20  =  0.35

In scientific notation, moving the decimal point after the first non-zero digit, the answer is 3.5 x 10^-1.

(It's a negative exponent because you move the decimal point to the right; it's a -1, because you move the decimal point one place to the right.)

I believe that the function should be:  f(x) = 150 + 25x

Graph the function and find the x-value that makes the y-value equal to 500.

The function is continuous because you can put in whatever number of x that you want. However, the situation that it reflects is discrete because fractions such as 3 356/1098725 don't make sense. Your answer makes sense only if you use discrete values (whole numbers) for x; so the situation is discrete.

Linear equations are equation that, when graphed, produce a straight line.

Their equations can look like:

   x = a  --->  examples:  x = -12  or  x = 0  or  x = 2  (these are vertical lines)

   y = b  --->  examples:  y = 5  or  y = 0  or  y = -2.5 (these are horizontal lines)

   y = mx + b  --->  examples:  y = 2x - 7  or  y = -5x + 9  or  y = -x + ½  (these are diagonal lines)

8x + 28 < 5x + 28

First, get all the variables to one side by subtracting 5x from both sides:

3x + 28 < 28

Now, get rid of the number of the side that has the variable term by subtracting 28 from both sides:

3x < 0                       (Subtracting 28 from 28 gives you 0; it doesn't make the number completely disappear!)

Divide by 3:

x < 0

AB²  =  61 - 60cos(120)

--->  AB²  =  61 - (-30)

--->  AB²  =  61 + 30

--->  AB²  =  91

--->AB  =  √91

This problem is too large for most calclators, so use logs:

x = 2⁴⁰⁰⁰   --->   log(x) = log(2⁴⁰⁰⁰)

With logs, exponents come out as multipliers:   --->   log(x) = 4000·log(2)

Simplifying   --->   log(x)  =   1204.11998

Rewriting in exponential form:  x  =  10^1204.11998  =  10^{1204 + 0.11998}  =  10¹²⁰⁴·10^0.11998

--->   10¹²⁰⁴·l1.318  =  1.318 x 10¹²⁰⁴

Graphing, I got zeros at:  3.7941193, 0, and -7.91666

Does anyone have another way?