proyaop

You don't need to, as long as you have it graphed, you can tell at which point the line and the exponential function intersect (if intersected at 2 points pick the one in which the functions are pointing or travelling at), and then determine which function is going to that point faster. 

An exponential function is basically a log function, so technically yes. (Graph w/ a logarithmic function).

f(x) = x^2 + 6x + 7

f(x) > 2

x^2 + 6x + 7 > 2

x^2 + 6x + 5 > 0

(x + 5)(x + 1) > 0

Either both positive or both negative. 

x > -1

x < -5

b = binder

n = notebooks

p = pencils

b + n + p = 14

p = 2b

n = b + 2

Substitute => b + (b + 2) + (2b) = 14

4b + 2 = 14 => b = 3, n = 5, p = 6

binders = 3$

pack of notebooks = 5$

box of pencils = 6$

10!/8! * (8)! = 10!

10! = 3,628,800

I think Guest (the one who asked the question) means ___ * ___ = 56. I believe he means that the same number times itself is 56.

If that is so, then we can set the blank as a variable "x". x * x = 56. The star means "times/multiply". \(x^2 = 56\). Square root both sides, you get "blank" \( = \pm 2\sqrt{14}\).

Just to clarify @mrinank, the angle bisector theorem is thus:

BC/AB = CY/AY

Then you get BC.

Then you do angle bisector theorem again, use BZ as x, and AZ as 8-x. Apply angle bisector theorem, AC/BC = AZ/BZ = (8-x)/x.

To solve: BC = 4. 9/4 = (8-x)/x => 9x = 32 - 4x, 13x = 32, x = 32/13 = BZ

I don't know what the semi-colons mean, but try using a calculator.