Hello there!
To find the inverse, we need to interchange the variables and solve for y.
So, the answer is

,

I hope this helps!
Answer:
t= -1.33 recurring and -2
Step-by-step explanation:
3t²+4t+8=-6t
3t²+4t+6t+8
3t²+10t+8
This is a quadratic equation, it can be solved by using either factorisation, completing the square method or formulae method. For the purpose of this question, I would be using the formulae method.
-b±√(b²-4ac)/2a
Where a=3, b= 10 and c=8
-10±√(10²-4(3)(8))/2(3)
-10±√(100-96)/6
(-10±√4)/6
(-10±2)/6
-10+2/6 or -10-2/6
-8/6 or -12/6
-1.3333 recurring or -2
4x^2-5x=-1
4x^2-5x+1=0
4x+2.24x=1
6.24x=1
x= 0.16025641025641025641025641025641
Answer:
27
Step-by-step explanation:
I think
This is your typical algebra question where you are looking for an unknown value given some information. The information can be set up as:
8 - x = 4*(x +3)
Distribute the 4:
8 - x = 4x + 12
Rearrange to get variables on one side:
8 - 12 = 4x + x
Simplifiy:
-4 = 5x
Isolate the variable:
-4/5 = x