The generic equation of the lines is:
y-yo = m (x-xo)
m = (y2-y1) / (x2-x1)
We look for the functions:
For f (x):
m = (- 1-1) / (1-0)
m = -2
y-1 = -2 (x-0)
y = -2x + 1
For g (x):
m = (3 - (- 3)) / (1-0)
m = 6
y - (- 3) = 6 (x-0)
y = 6x-3
y = -3 (-2x + 1)
The value of k is:
k = g (x) / f (x)
k = (- 3 (-2x + 1)) / (- 2x + 1)
k = -3
Answer:
the value of K is:
k = -3
Asw= 2
7:1=7 x1=7
7-7=0+3=3
The answer is +3
Answer:
(3)+1. 12-2=9+1 so 9 is the answer
Answer: The correct answer is: [D]: "8" .
Step-by-step explanation:f y varies inversely with x; then y = k/x ; with "k" being the "constant" in this equation.
You can find the constant by substituting the values given: x = 16, f(x) = y = 2 ;
So, f(x) = y = 2 = k/16 ;
→ 2 = k / 16 ;
Solve for the constant; "k" ;
Multiply EACH SIDE of the equation by "16"
→ 16* (2) = (k / 16) * 16 ;
→ 32 = k ;
↔ k = 32 ;
As such, we can write the equation:
y = k/ x ; as:
→ y = 32/ x ;
Since we are given: "x = 4" ; Plug in that value; and solve for "y" ;
y = 32/4 = 8 .
y = 8 .
y = f(x) ;
So; f(x) = 8 ; which is: Answer choice: [D]: "8" .