Answer:
Step-by-step explanation:
plz write it
Answer:
Non Linear
Step-by-step explanation:
Its non-linear because when you put X to the second power, it will change the function into a quadratic function
The best answer (and only correct answer) among the answer choices given is:
________________________________________________
[C]: y⁻¹ = (x+6) / 3 .
_________________________________________________
Explanation:
__________________________________________________
Given the original function: y = 3x - 6 ;
_________________________________________________
To find the "inverse equation" of said function; we change the "x" to a y"; and the "y" to an "x"; and rewrite:
_________________________________________________
x = 3y <span>− 6 ;
Now, rewrite in "slope-intercept form" ; or y = mx + b ;
that is, with y as "single, isolated" variable on the left-hand side of the equation (with an "implied coefficient of positive one", only); then an "equal sign, then "mx + b" ; in which: "m" is the coefficient of the variable, "x"; and in which "m" refers to the "slope"; and "b" refers to the 'y-intercept".
_____________________________________
So,we have the inverse function:
____ </span>_________________________________________________
x = 3y − 6 ; we want to write in slope-intercept form;
__________________________________________________
Add "6" to each side of the equation:
__________________________________
x + 6 = 3y − 6 + 6 ;
__________________________________
x + 6 = 3y ;
________________________
↔ Rewrite as: 3y = x + 6 ;
________________________________________
Divide EACH side of the equation by "3" ; to isolate "y" one side of the equation; specifically, the left-hand side of equation; and to write in "slope-intercept form:
______________________________
3y / 3 = (x + 6) / 3 ;
______________________________
to get:
______________________________
y = (x + 6) / 3 ;
_________________________________
y = (x/3) + (6/3) ;
____________________________________
y = (x/3 ) + 2 ;
___________________________________
or; write as: y = (1/3)x + 2 ;
________________________________________
Now, let us examine the answer choices given:
__________________________________________
Note that all the answer choices begin with "y-1" ;
(except "answer choice: [B]" , which begins with "x-1"). This seems confusing; however, in reality, this does not mean, "y minus 1"; or "x minus 1". Rather, it mean y⁻¹ or x⁻¹ as notation for the "inverse" (not to be confused with the exponent notation. The confusion stems from the fact that it can be difficult to make such notations on the "Brainly" system.
__________________________________________________
That being said, we can write the aforementioned "rewritten equations" (see above in THIS VERY ANSWER) as:
_____________________________________
y⁻¹ = (x + 6) / 3 ;
_________________________________
y⁻¹ = (x/3) + (6/3) ;
____________________________________
y⁻¹ = (x/3 ) + 2 ;
___________________________________
or; write as: y⁻¹ = (1/3)x + 2
___________________________________
That being said:
_________________________________________
The best answer (and only correct answer) among the answer choices given is: Answer choice: [C]: y⁻¹ = (x+6) / 3 .
____________________________________________________
Angles of the parallelogram which is given in the problem are:α = 49° + 17 °= 66°
β = 180° - 66° = 114°
x - length of the longest side of the parallelogram;
Use the Sine Law:x / sin 49° = 20/ sin 17°
x / 0.7547 = 20 / 0.2924
0.2924 x = 15.094
x = 15.094 : .2924
x = 51.62 is the longest side of the parallelogram.
