Answer:
x = 4.25
Step-by-step explanation:
First, alter the equation until both exponents have the same base. We know that 9^3 is 27. Therefore, we can change 27^(x-3) into 9^3(x-3).
Now, the equation can be written as 9^(8-x) = 9^(3x-9)
Now that the bases are the same, we can cancel them out and just solve for the exponents. This will look like:
8-x = 3x-9.
8 = 4x - 9
17 = 4x
x = 4.25
The answer is B.
While A, C, and D mean 8/x = -4, B means x divided by 8 = -4.
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Compare two similar sides:
24:32 this reduces to 3:4
Answer: D) 3:4
First, rearrange the quadratic equation:
5x² + 9x - 4 = 0
Now, compare it to the general quadratic equation:
a<span>x² + bx + c = 0
Therefore you get:
a = +5
b = +9
c = -4
And the quadratic formula will be:
x = [-b +/- </span>√(b² - 4ac)] / 2a
= [ -5 +/- √(81 - 4·5·(-4))] / 2·5
= (-5 +/- √161) / 10
