Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k.

two lines labeled f of x and g of x. line f of x passes through points negative 4, 0 and negative 3, 1. line g of x passes through points negative 4, 0 and negative 3.

3
one third
negative one third
−3

-3.

Step-by-step explanation:

We are given that :      (1)

It means that f(x) and g(x) are proportional.

[Equation of direct variation: y=kx , where k= proportionality constant.]

From the given graph ,

At x= -3 , f(x)=1 and g(x) =-3

Put value of x=-3 in (1) , we get

 [∵ f(x)=1 and g(x) =-3]

i.e. The value of k = -3

Hence, the correct answer is -3.

the battle of gettysburg is considered the "high water mark" of the confederacy because it marked the greatest advance of the confederate forces against the union.

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2