Calculus

They mean the graph/function is decreasing.

all graphs of the form y=mx+c are simple to graph. SImpley notcice that it is a straight line, with gradiant m, and y-intercept of c.

So your example gives us a graph with a gradiant of -1 going through the y axis at 3 and the x axis at 3

find the x intercept by setting y = zero

Given y = 2x + 4, plug in x = 42 and simplify:

y = 2(42) + 4

y = 84 + 4

y = 88

2 x 2 + x - 1 = 0

4 + x - 1 = 0

4-1 + x = 0

3 + x = 0

3 + x - 3 = 0 - 3

x = -3

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Another Solution Method (including text) for:

2 * 2 + x - 1 = 0

1. Do simple operations (*/+-) within from left to right:

2 * 2 + x - 1 = 0

4 + x - 1 = 0

3 + x = 0

2. Group like terms:

- move numerical terms from the left side of the equal sign to the right side of the equal sign (remember to change the sign when moving from the left to the right of the equal sign):

3 + x = 0

x = 0 - 3

3. Do simple operations (^*/+-):

x = 0 - 3

x = - 3

to factor (x2-16x+64), you need to find two number whose product is 64 and whose sum is 16.

These two numbers are 8 and 8.

(x2-16x+64)=(x-8)(x-8)

23.2 is.

6

2u4 + 38u2 = 16u3 + 24u

∴ u3 - 8u2 + 19u - 12 = 0

∴ (u - 3)(u2 - 5u + 4) = 0

∴ (u - 3)(u - 4)(u - 1) = 0

∴ u ∈ {1, 3, 4}

* * *

Because u is a factor of both sides of the equation given,

u = 0 is also a solution.

2x + 6 = 9 (subtract 6 from both sides) 2x = 3 (divide both sides by two)
x = 1.5

no

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to find wavelength of a monochromatic light source and for determining the thickness of a thin glass sheet when placed between bi prism and screen or eyepiece

1,6

(x + 4)(y - 2)

False, 12 x 12 equals 143!

JOKES! It actually equals 144!


hehe!

There are an infinite number of answers... you need one variable to find the other.

4x = 2

x= 2/4

x= .5

Im assuming you are trying to come up with a y intercept equation for a graph. If that assumption is correct

x = y^2 - 2

y^2 = x + 2

y = SQRT ( x + 2 )

-4m + 24m = 32 ( subtract 32 from each side and get in standard form )

-4m + 24m - 32 = 0

quadratic formula..........

m = -b +/- sqrt(b^2-4ac)/2a

a = -4

b = 24

c = -32

m = -24 +/- sqrt[24^2 - 4(-4)(-32)]/2(-4)

m = -24 +/- sqrt(576 - 512)/-8

m = -24 +/- sqrt(64)/-8

m = [-24 +/- 8]/-8

m = 2

m = 4

Downturn parabola with these X intercepts

We can rewrite this as 2x2 -6x-1=0

Now if you want to solve this, you can use the quadratic equation.

a=2

b=-6

c=-1

So x= [6+ or - ( square root of (36+8) ]/ 4

= [6+ or - (2square root of (11))/]4

A fraction already is a number. If you want to convert it into a decimal, divide the numerator (top) by the denominator (bottom).

Yes

(2x - 1)(x + 3)