Calculus

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

49/100

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"Color wheel graphs" are commonly used. At each point in the complex plane, the graph is a color, where the brightness represents the magnitude, and the hue represents the complex angle.

Thus, positive values are cyan, negative values are red, and pure imaginary values are green or magenta. Other complex numbers are mixtures of these. Zero is black, and infinity is white. (Other schemes are also in use)

w + 5y

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