kitty<3

Enter it as log(4, x) or as lg4(x).

f(x) = −4 sin(2x + π) − 5

The function is in the form:

f(x) = A sin(Bx - C) + D

Where: |A| = amplitude2 π/B = period
C/B = phase shift

So the amplitude is:

|-4| = 4

The period is:

2 π/2 = π

And the phase shift is:

π / 2

As another note, the vertical shift is D, so for this function it would be -5, or 5 down.

2^2014 - 2^2013 = 2^2013

This is because 2^2013 * 2^1 = 2^2014.

So the equation can be written as:

2^2013 * 2^1 - 2^2013 * 1

Factor out 2^2013 for now:

2^2013 (2 - 1)

= 2^2013 * 1

= 2^2013

|-15| - |8-11|

First you would find the values of whatever is inside the absolute value lines. Whatever numbers are in the absolute value notation come out positive.

So:

|-15| = 15

And:

|8-11| = |-3| (first you do the operations in the absolute value)

|-3| = 3

So the expression simplifies to:

15 - 3

= 12

Any number divided by zero is undefined. Don't try it.

|2x - 3 |= 8

Es dos ecuaciones:

(2x - 3) = 8   o   -(2x - 3) = 8

2x - 3 = 8   o   -2x + 3 = 8

2x = 11   o    -2x = 5

x = 11/2  o   x = -5/2

Vilma es x, y andres es (x + 5)

Entonces:

x (x + 5) = 150

x^2 + 5x = 150

x^2 + 5x - 150 = 0

(x + 15) (x - 10) = 0

x = -15 o 10

-15 es negativo, entonces
x es 10 solamente.

Entonces, Vilma es 10, y Andres es 15.

Imagen? Para x = 15 en tu pregunta,

g(15) = 3(15) - 3

= 45 - 3

= 42

$$\left({\mathtt{a}}{\mathtt{\,\small\textbf+\,}}{\mathtt{b}}\right){\mathtt{\,\times\,}}\left({\mathtt{a}}{\mathtt{\,-\,}}{\mathtt{b}}\right) = {{\mathtt{a}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{{\mathtt{b}}}^{{\mathtt{2}}}$$

Entonces, (0.7 +2 x) (0.7-2x)

= 0.7^2 - (2x)^2

= 0.49 - 4x²