Solve for all values of x by factoring. x^2 - 3x – 1 = -3x​

x = 1, x = -1

Step-by-step explanation:

x^2 - 3x - 1 = -3x

Simplify...

x^2 - 3x - 1 + 3x = 0

x^2 - 1 = 0

Use this formula to factor: (a-b)(a+b) = a^2 - b^2

So x^2 - 1 will factor to...

(x-1)(x+1)

Solve for the equation: (x-1)(x+1) = 0

x - 1 =0

x = 1

x + 1 = 0

x = -1

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation:

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.