CPhill

I assume you want the prime factorization of 2772

It is.......

2² x 3² x 7 x 11

No one can say.....

Is it 7.01 ??? ....or 7.001 ???......or 7.0000000000000001 ???

In other words...we can get as close to  7 "from the right" as we wish !!!!!

Let's see...first, cross-multiply...this gives us....

20 = hk

Notice that, since the left side is constant, if k decreases, h must increase to retain this constancy !!!

So....that's it......k and h move in "opposite" directions......if one increases, the other decreases.....and vice-versa  !!!

I assume we might have this:

(1/5)x+2 = 3 - (2/7)x     Add (2/7)x to both sides and subtract 2 from both sides

(1/5)x + (2/7)x = 1        Multiply both sides by 35 to clear the fractions

7x + 10x = 35                Combine like terms

17x = 35                        Divide both sides by 17

x = 35/17

Circumference = pi x Diameter

31.4 = 3.14 x D    divide both sides by 3.14

10 = D

I assume you possibly want to graph

y - 9 = (1/7)(x - 8)  =

y = (1/7)(x-8) + 9

I think you want to evaluate this, if I'm not mistaken....

lim  (x^6 -1) / (x^3 + 1)

x → -1

Factor (x^6 -1) as (x^3 - 1) (x^3 + 1)   ...  so we have ....

lim  [(x^3 - 1)(x^3 + 1)] /((x^3 + 1)

x → -1

Simplify  by "cancelling" the (x^3 + 1) terms

lim  (x^3 - 1)

x → -1

Now, take the limit

[ (-1)^3 - 1] =  [-1 -1 ] = -2

A "hand" = 4 in = 101.6mm

And since 7.4m= (7.4)(1000mm) = 7400mm, we have

7400mm/101.6mm = about 72.8 "hands"

A^4-5A^2-36  =

(A^2 + 4) (A^2 - 9) =

(A^2 + 4)(A + 3)(A - 3)

6x^5-51x^3-27x     take out the GCF first  (3x)

(3x)(2x^4 - 17x^2 - 9 ) =

(3x)(2x^2 + 1)(x^2 - 9) =

(3x)(2x^2 + 1)(x + 3)(x - 3)