Calculus

y = -2x + 6

slope = m = -2 = -2/1 = rise/run

y-intercept: 6

x-intercept: 3

y = 0

0 = -2x +6

0 + 2x = -2x + 2x + 6

2x = 6

2x/2 = 6/2

x = 3

So we have two points (3, 0) and (0, 6). We can find another point using the slope -2/1.

Use the point (0, 6):

(0 + 1, 6 - 2) = (1, 4)

Draw the line that passes through the points (0, 6), (1, 4), and (3, 0).

When x = 75.964 degrees plus or minus any multiple of 180 degrees.

-4x-2+2=-2+2.

-4x/-4=0/-4

x=0

(3x+2)-(5+7x) = 3x+2-5-7x = -4x-3

3x+2 is -4x-3 times greater than 5+7x.

(3x)^4 +(4x)^3 -(36x)^2 +1 or 3x^4 + 4x^3 -36x^2 +1? Not sure from the way you said it.

In either case the method is the same. Use the power rule for differentiation, d/dx(x^n) = nx^(n-1), to take the derivative of the equation term by term, and then set this equal to zero and solve for x. You will get a cubic function when you do this, so you can try to factor it after you differentiate to simplify the problem.

Assuming the second case (It seems more likely) differentiating gives the following, which I have set equal to zero:

12x^3 + 12x^2 - 72x=0

x(12x^2 +12x-72)=0 Factor out an x

x(12)(x-2)(x+3)=0 Factor some more

This gives horizontal tangents at x=-3,0,and 2. Now all you have to do is plug some easy numbers into the derivative from the intervals between these values. Negative derivative means decreasing, positive means increasing. Good luck!

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x3-x2

Both terms in this expression have x2 in them, so "divide" each term by it using the distributive property in reverse.

x2(x-1) = x3-x2

If you "re-distribute" you should see that they are equal.

There are infinitely many pairs of values (x, y) which will satisfy 4x + 1.5y = 79

The equation can be rearranged:

4x + 1.5y = 79

⇒ 1.5y = 79 - 4x

⇒ y = (158 - 8x) ÷ 3

For any given value of x, plug it into the above equation and the corresponding value of y will be calculated. So, some pairs of values (x, y) that satisfy this are:

(-2, 58), (1, 50), (4, 42), (7, 34)

97 * 10 = 970

x2-b = 9

x2 = 9+b

Square root both sides:

x = the square root of (9+b)

2X - 6X + 5 = 0

subtract 5 from each side

2X - 6X = - 5

do what it says on the left

- 4X = - 5

X = 5/4

check in original equation

2(5/4) - 6(5/4) + 5 = 0

10/4 - 30/4 + 5 = 0

- 20/4 + 5 = 0

- 5 + 5 = 0

0 = 0

checks

509.1

Including the initial digit 3, the 13628th digit of pi is 7.

-8.

9x2 - 6xy + y2 - 81

= (3x - y)2 - 92

= (3x - y - 9)(3x - y + 9)

Y = x - 7

Don't you have a calculator? Just multiply them together. It's really simple and a whole lot faster than going to a website and make us do your homework for you.

x = -1 and y = -8

It is an expression whose value will depend on the value of the variable x.

Gradient = 2

10

ANYTIME. a number is next to a variable it means that number has to be multiplied by the variable. Try writing it out as 30 times x in the equation. Its quite simple just refere to the Order of operations and PEMDAS search around if you are not sure on how to find the value of a variable. Its actually quite simple. Since I infer you are probably doing homework I don't want to go ahead and give you the value so this is the most i can help you.

x = 12;

You cannot.

THere are infinitely many possible functions in any circle graph. Your question needs to be more specific.