Calculus

y2+y-2 factors to (y+2)(y-1)

The two initial terms of your factoring (y and y) must multiply to equal the first term of your starting problem (y2). Likewise, the last two terms must multiply to equal the last term of your starting problem (-1 * 2 = -2).

You know that one way to reach y2 by multiplying two terms is doing y*y, so your first terms are most likely each y. There are two possible ways of multiplying two terms to equal -2, (2* -1) and (-2 * 1). To decide which version to use, look at the middle term of the starting problem. The coefficient on the middle term must result from adding the two factors that will multiply to equal your third term. That is to say, for this problem, the correct combination of multiplying to equal -2 must add together to equal 1. If we used -2 and 1, these terms add together to equal -1, not 1. If we use the other combination, we get a sum of 1, so this is the correct combination. You simply mate the first terms you determined (y and y) with the second terms you determined (2 and -1).

This leaves: (y+2)(y-1).

Note: If no solution exists for the above method, it is likely a non-factorable trinomial, which will require the use of the quadratic formula.

x-y = 7 so x = 7+y

3x+y = 9 so 3(7+y)+y = 9

21+3y+y = 9

4y = 9-21

4y = -12

y = -3

Substitute the value of y into the original equations to find the value of x:

Therefore: x= 4 and y = -3

805.5

a * 0.1 = 10 * 0.1 = 1.0

x = √(2-x)

x2 = 2-x

x2 + x = 2

x2 + x - 2 = 0

(x+2)(x-1) = 0

x = 1 or -2

Search for the Monty Hall Problem...

If you are trying to find x and y, the answers are x=3 and y=2.

You can use elimination to find the answer. First you cross out the y and -y in the equations and then add the x's and numbers, which will give you 3x=9. You can then solve for x and you will get x=3. To find y, you put 3 into either of the equations for x and solve for y.

15

This question cannot be answered sensibly. A cubic metre is a measure of volume, with dimensions [L3]. A tonne is a measure of mass, with dimensions [M]. Basic dimensional analysis teaches that in most cases you cannot convert between measures with different dimensions without additional information. Just a little thought should make it obvious that, for example, a cubic metre of air will have far less mass that a cubic metre of lead.

If you count one cat every second, it would take one million seconds, which works out at just over eleven and a half days, provided you don't loose count and need to start again, oh, and no time to sleep, make a cup of tea or take a comfort break.

An irrational number is a number that is not rational. A rational number is a number that can be expressed as the quotient of two integers, the divisor not being zero.

For the equation ax2-2x-3, the quadratic coefficients are:
a=a,
b=-2
c=-3.

The equation of the line of symmetry is:
x= -b/2a

As we know that the line of symmetry is x=1,
we get:
1 = 2/2a, so
2a = 2
and a = 1.
We get a bowl-shaped parabola, whose lowest point is (1,-4).

If x+8=8, then x=0.

No its 16

You have to use the periodic table of elements.

P E M D A S

P - ( ) _Parenthesis

E - y2 _Exponents

M - X _Multiplication

D - / _Division

A - + _Addition

S - [-] _Subtraction

•6+2x4-2•

Multiplication comes fist so... 2 x 4 = 8

Addition comes next so... 6 + 8 = 14

Subtraction is last so... 14 - s = 12

7

No, zero does not have an inverse.

The inverse of x is 1/x. x<>0

∫ 1/cos2(x) dx = tan(x) + C

C is the constant of integration.

∫ tahh(x) dx = ln(cosh(x)) + C

C is the constant of integration.

∫ f(x) +g(x) dx = ∫ f(x) dx + ∫ g(x) dx.

One way to remember it is: a full circle is 2pi radians, or 360°, so 2pi radians = 360°, and then you multiply degrees by (2pi/360 radians per degree) = pi/180 radians per degree.

The x intercept is where y = 0

y = 2x +5 = 0

2x + 5 = 0

2x = -5

x = -5/2 = -2.5

576

Jimmy, or 'Leech' is played by Cameron Bright.

5/6 or .833