Answer:
x = 8
Step-by-step explanation:
A graphing calculator can show you the answer easily. It works well to define a function whose x-intercept is the solution. We can do that by subtracting 300 from the given equation so we have ...
F(2, x, 4, 11) -300 = 0
The solution is x = 8.
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We can solve this algebraically:
F(2, x, 4, 11) -300 = 0
2^x +4·11 -300 = 0 . . . . use the function definition
2^x -256 = 0 . . . . . . simplify
2^x = 2^8 . . . . . add 256
x = 8 . . . . . . . . . match exponents of the same base
Answer:
From the given options, option D is the only choice that contains (w-5).
Step-by-step explanation:
Given the expression
Breaking the expression into groups
Factor out 'w' form w²+4w = w(w+4)
Factor out 'w' from -5w-20= -5(w+4)
so
Factor out common term: w+4
Thus, the factors are: (w+4) and (w-5)
Therefore, from the given options, option D is the only choice that contains (w-5).