Calculus

37 - 2 X 4 + 3

Remember for numerical operations, do multiplication/division BEFORE addition/substraction.

Hence

37 - 8 + 3 = 32 The Answer!!!!

NOT 37 - 2 = 35 X 4 + 3 = 140+ 3 = 143 (Note the different answer.

Calculators are programmed to doby the first method.

In the genetic system.

XX is the female and XY is the male.

There are four ways this can combine

X"X' & XY as

X"X Female

X'X Female

X"Y Male

X'Y Male

The are dashes on the 'X's' for clarity of combination.

This results in an equal number of females and males being born.

2x + 3 = 9x is a fairly simple linear equation (i.e., when graphed, it will be a straight line).

First, you want to isolate the x term on one side of the equation. To do this, you must take 2x and subtract it from both sides. Here is the result:

7x = 3.

Now, you want to completely isolate x itself, without any coefficient (in this case 7). Because 7 is being multiplied to x, you must divide 7 from both sides. Keep in mind that whenever solving an equation, whatever you do to change it must be done to both sides. Here is the result:

x = 3/7.

If you wish, you may use a calculator to divide 3 by 7, or you can just leave it as a fraction.

A system of equations? Try elimination.

- 2(-3X + Y = 7)

5X + 2Y = 3

6X - 2Y = - 14

5X + 2Y = 3

--------------------------add

11X = - 11

X = - 1

------------Put back in equation to solve for Y

- 3(-1) + Y = 7

3 + Y = 7

Y = 4

-------------check both equations

- 3(-1) + 4 = 7

3 + 4 = 7

top checks

5(-1) + 2(4) = 3

- 5 + 8 = 3

both equations check and the system is consistent

3 · r · 4 · t = 12 r t

160.

8x + 2y = 1

Rearrange in to straight line form 'y = mx + c'.

'm' is the slope/gradient of the line

'c' is the y intersept.

Hence

2y = -8x + 1

y = -4x + 1/2

So slope is '-4'. and y-intercept is '1/2'

4

3^(x) =

3^(x) = 50

Take logs base 10 (Calculator) of both sides

log3^(x) = log50

xlog3 = log50

x = log50/ log3 (NOT log (50/3))

On the calculator

x = 1.6987.../0.47712...

x = 3.5608....

50

X = 0 (zero)

Y = -1 (neg 1)

1.2 x 1.2 = 1.44. This can also be expressed as 1.22, or 1.2 squared.

"xy" refers to the product of "x" and "y". Just substitute the variables for numbers, and do the multiplication.

the variable is Y

3

Equations: 2x-3y = 4 and 5x+2y = 1

Multiply all terms in 1st equation by 5 and all terms in 2nd equation by 2:-

So: 10x-15y = 20 and 10x+4y = 2

Subtract the 2nd equation from the 1st equation: -19y = 18 => y = -18/19

By substitution the solutions are: x = 11/19 and y = -18/19

Divide by 16, which gives you x=4/16

The 4/16 cancels down to 1/4.

-5

9

420km

To find the slope-intercept form of the given line (4x - 2y + 1 = 0), we need to solve for (y).

[4x - 2y + 1 = 0]

Subtract (4x) and add (1) to both sides:

[-2y = -4x - 1]

Divide both sides by (-2) to isolate (y):

[y = 2x + \frac{1}{2}]

Now, the equation is in the slope-intercept form (y = mx + b), where the slope (m) is (2) and the y-intercept (b) is (\frac{1}{2}). So, the slope is (2) and the y-intercept is (\frac{1}{2}).

4x * x = 4x^2

4x = 20

x = 5 (divide both sides by 4)

6

3.14159265358979323864062384626238832795028841971693939937510582097494459230781640628620898628034825342117067

These are the hundred digits of pi