Calculus

$10,000,000.00

Ten million dollars and no cents.

10

The idea is to replace every "x" by "3", and then do the calculations.

f (x) = 2/3 x + 2

457.2 mm

If y = mx + b, then x = (y-b)/m (for m not equal to zero).

x = 11

y = 16

Select a set of values of x for which you wish to plot the graph - a subset of the domain. For each value x, calculate y = negative x to the second power = -x2.

Plot the set of ordered points (x, y) = (x, -x2) on a coordinate plane and jion them together with a smooth curve.

C= pi * D This is the formula for circumference.

X2 + X = 15

X2 + X - 15 = 0

Looks like a job for the quadratic formula. ( the discriminant says two real roots )

X = - b (+/-) sqrt(b2- 4ac)/2a

a = 1

b = 1

c = - 15

X = - 1 (+/-) sqrt[12 - 4(1)(- 15)]/2(1)

X = - 1 (+/-) sqrt(1 + 60)/2

X =[ - 1 (+/-) sqrt(61)]/2

---------------------------------exact answer

So, X = ~ 3.41

X = ~ - 4.41

Perform the addition.

You know that 6 cows plus one cow is 7 cows, 6 kittens plus 1 kitten is 7 kittens,

and 6 computers plus 1 computer is 7 computers.

It should not surprise you to discover that [ 6x + 1x ] = 7x .

X2 - 4X - 5 = 0

easy factor, what two factors of - 5 add up to - 4

(X + 1)(X - 5)

X = - 1

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X = 5

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y=3x+(3/2), so the slope is 3 or (3/1).

You cannot, in general, solve one equation with two unknown variables.

x - y = x - x2

Subtract x from both sides: - y = - x2

Change signs: y = x2

And that is as far as you can go.

No. 1/sqrt(9) can be definitively written as 1/3, which is a ratio of constant numbers, and therefore it is a rational number. A number such as pi, which is irrational, cannot be expressed as a constant ratio.

-6x-66=66

First, add 66 to both sides to isolate the variable

-6x=132

Then, divide by -6

and x=-22

f(x) = -4(x + 1)2 + 3

y = -4(x2 + 2x + 1) + 3

y = -4x2 - 8x - 4 + 3

y = -4x2 - 8x - 1 (set y equal to 0 to find the x-intercepts)

0 = -4x2 - 8x - 1

x =[-(-8) ± √[(-8)2 - 4(-4)(-1)]]/2(-4)

x =[8 ± √(64 - 16)]/-8

x =(8 ± √48)/-8

x =(8 ± 4√3)/-8

x = -1 ± -(1/2)√3

x = -1 - (1/2)√3 or x = -1 + (1/2)√3

x ≈ -1 - 0.87 or x ≈ -1 + 0.87

x ≈ -1.87 or x ≈ -0.13

Thus, the two x-intercepts are about -1.87 and -0.13.

9

-3x + 2 = -7x - 22

add 7x to both sides

4x + 2 = -22

subtract 2 from both sides

4x = -24

divide by 4

x = -6

00 = 1.

This can be proved by different methods like using binomial expansion.

Visit the links mentioned below to know how actually it is proved.

(4, 5)

a unit of measurement equivalent to - 1.9304 metres

Weary sigh twelve weary sigh