If 1/4x - 1/4 = 2 then 2 + 1/4 = 1/4x.
so 3/4 = 1/4x
3/4 is equal to 1/1.33 (reduce by dividing both numerator and denominator by 3)
so 4 x ? = 1.33. 1.33 / 4 = 0.3325
so (if you're solving for x) I believe the answer is x = 0.3325
The rewritten form of the expression given in the task content in which case, the properties of the logarithm are used is; log2(z³/y²) + log9(y⁴x¹²).
<h3>What is the equivalent expression to the logarithmic expression given in the task content?</h3>
It follows from the task content that the logarithmic expression given in the task content is;
log2z + 2log2z + 4log9y + 12log9x - 2log2y
In which case, all terms are to their respective logarithmic bases.
Hence, it follows that; we have;
log2z³ - log2y² + log9y⁴ + log9x¹²
= log2(z³/y²) + log9(y⁴x¹²)
Read more on logarithm laws;
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Answer: There are 160 different rings.
Step-by-step explanation:
The question is missing, i guess you want to know the number of different rings that the jewelry has:
For the material we have 2 options.
For the stile we have 8 options
For the gem we have 10 options.
Now, the total number of possible combinations is equal to the product of the number of options for each selection, this is:
Combinations = 2*8*10 = 160
the discriminant b^2 - 4ac when the equation is in the form of ax^2 +bx+c=0
13x^2-16x = x^2 -x
we need to get in it the standard form
subtract x^2 from each side
12x^2 -16x = -x
add x to each side
12x^2 -15x = 0
12x^2 -15x -0 =0
a=12 b=-15 c=0
b^2 -4ac
the discriminant = b^2
b^2 = (-15)2 = 225
