Answer:
The inverse function h(x) = 4x + 48
Step-by-step explanation:
Here, we want to find the inverse of a function
The function is;
f(x) = x/4 -12
now, let this value equals m
so;
m = x/4 -12
we now try and make x the subject formula and this gives us the inverse.
m = (x-48)/4
4m = x -48
x = 4m + 48
substitute m for x
which implies 4x + 48
This is the inverse of the function
100 divided by 2 equals to 50
Answer:
the solution set consists of {x < -2 ∪ x > 10/3}
Step-by-step explanation:
|3x - 2| > 8 is equivalent to the following set of inequalities:
1) 3x - 2 > 8
and
2) -(3x - 2) > 8
In case 1, above, add 2 to both sides, obtaining 3x > 10, or x > 10/3.
In case 2, above, carry out the indicated multiplication first:
-3x + 2 > 8. Next, subtract 2 from both sides: -3x > 6.
Next, divide both sides by -3, remembering to reverse the direction of the inequality sign: x < -2.
Thus, the solution set consists of {x < -2 ∪ x > 10/3}
Answer:
C
Step-by-step explanation:
The solution triangle is attached below :
Tonobtinnthe Angle formed, θ; we apply trigonometry ;
Using ;
Cos θ = Adjacent / hypotenus
Cos θ = 4 / 7
θ = Cos^-1(4/7)
θ = 55.15°
θ = 55°
