Calculus

3.72 seconds.

(7x - 4)(x + 1 ) making x = either 4/7 or -1

Check: (7 x 16/49) + 12/7 = 16/7 + 12/7 = 4 ok

7 + (-3) = 4 ok...and there you have it.

Greatest Common Factor: 6

Biggest number going into both terms

6, left bracket, 3, x, plus, 2, right bracket

6(3x+2)

No. There are two zeroes in each multiplier so there will be 2 + 2 ie 4 zeroes in the product.

1000000 has six zeroes so is the product of 1000 and 1000

9.2 = 92/10 = 46/5

ounces

180

Yx7y = 7y2 (squared )

You can't answer this question without setting that expression equal to something. Right now, your equation reads 4x+15=?, essentially created a system of two variables with only one equation, which is unsolvable.

(x^2 - x - 12) = (x^2 - 4x + 3x -12) = x(x -4) + 3(x -4) = (x-3) x (x-4)

Hence (x^2 - x - 12) divided by (x -4) is (x-3)

1/ Tan = 1/ (Sin/Cos) = Cos/Sin = Cot (Cotangent)

-7/5

For equations in Standard Form (Ax + By = C), slope equals -A/B. Or you could put the equation in Slope-Intercept form (y = mx + b) by solving for y and then finding the slope (m).

write 4.5 in fractional form

-4 + -3 = -7

Nothing is more than infinity, nothing is longer than infinity. It is infinite, definitely.

Nothing is more than infinity. Infinity will just go on forever!

Whenever multiplying a fraction by an integer (in this case, the 100), my students are told to put the integer over a 1 so that they will see whether the numerator or denominator gets multiplied by the integer. (After getting used to it, the 1 becomes unnecessary.) Here is what they would do: 4/30 x 100/1 Multiply straight across, numerator by numerator and denominator by denominator (the 4 times the 100 and the 30 times the 1). You get 400 on top and 30 on the bottom. 400/30 Then you reduce the fraction by dividing BOTH the top and the bottom by the SAME number that will go into each of them. In this case, they can both be divided by 10. You get 40/3. Since another number can't go into BOTH of them at the same time, it is reduced.

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