Answer:
x = 
Step-by-step explanation:
given
4 - ax = 2 ( isolate the term in x by subtracting 4 from both sides )
- ax = 2 - 4 = - 2 ( divide both sides by - a )
x = 
=
Answer:
Correct me if I’m wrong, but the answer should be f(t) = 2 cos pi over 6 t + 4.
Step-by-step explanation:
Answer: f^-1(x)=-7x+3 maybe ? i think
Step-by-step explanation:
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The given equation is in intercept form:
x/(x-intercept) +y/(y-intercept) = 1
This means the x- and y-intercepts are (4, 0) and (0, -3), respectively. Plot these points and draw the line through them.
9514 1404 393
Answer:
23) x = ±3i, ±√2
26) x = 4/3, (-2/3)(1 ± i√3)
Step-by-step explanation:
23) Put in standard form to make factoring easier.
x^4 +7x^2 -18 = 0
(x^2 +9)(x^2 -2) = 0 . . . . factors in integers
Using the factoring of the difference of squares, you can continue to get linear factors in complex and irrational numbers:
(x -3i)(x +3i)(x -√2)(x +√2) = 0
x = ±3i, ±√2
___
26) This will be the difference of cubes after you remove the common factor.
81x^3 -192 = 0
3(27x^3 -64) = 0
(3x -4)(9x^2 +12x +16) = 0 . . . . . factor the difference of cubes
The complex roots of the quadratic can be found using the quadratic formula.
x = (-12 ±√(12^2 -4(9)(16)))/(2(9)) = (-12 ±√-432)/18 = -2/3 ± √(-4/3)
Then the three solutions to the equation are ...
x = 4/3, (-2/3)(1 ± i√3)
