Calculus

147 thousand = 0.147 million.

1111111010 = octal 1772

9 is equal to 6 times x. divide both sides by 6 to leave the x by itself. 9 divided by 6 is 1.5 so x is 1.5.

x - 2x + 3 = 3 - x

Algebra and calculus

(3x-2)(x-2)

Start with the first equation: 8=2x-6 so 14=2x so x=7

Now insert the answer for x into the second equation:

So y=2(7)-6 so y=14-6 so y=8

So at a certain point x=7 and y=8 so a coordinate would be (7,8)

3

If I read right, then r= 4.5, so that (4)(4.5)(2)-7=29

-2x-6 = 14

-2x = 14+6

-2x = 20

x = -10

The given equation can be simplified to 2x + 3y = 6 but that is about it.

Given 2 unknown variables (x and y) you need two independent equations to solve for them. The only other thing you can so with the above equation is to express

y in terms of x : y = (6 - 2x)/3 = 2 - 2x/3

or

x in terms of y: x = (6 - 3y)/2 = 3 - 3y/2

Both different (and possibly clumsier) ways of saying the same thing as the original equation.

a straight line with a slope of -2 and a y-intercept of 3

x=3

That wasn't hard at all.

5x-10=-7+4x

-4x -4x

_____________

x-10=-7

+10 +10

_____________

x=3

3x + y = 3

2x - y = -1

Add the two equations: 5x + 0y = 2 or x = 2/5 = 0.4

Substitute the value of x in the first equation: 1.2 + y = 3 so y = 3 - 1.2 = 1.8

5y4

0.8

1/4 * 16 = 16/4 = 4

It is 2.

Given f(x) = - 7x + 5x^2 + 10

So f(-2) = - 7(-2) + 5 (-2)^2 + 10 = 14 + 20 + 10 = 44

9x + 32

x and y are in a ratio of 1:2 so when y is 30 x is 15

10 to the power 3 = 1000

598829

f'(x)=-3

the derivative of e is zero because its a constant. Derivative of -3x is -3. Bring the exponent of x down in front of the -3 and subtract the original exponent by 1. Ex. -3(1...which is the first exponent of the x)x^0(n-1 or 1-1=0)
all this is -3(1)x^0

x^0 is 1 so the derivative of -3x is -3