Answer:
z-4
Step-by-step explanation:
z(5z²-80) ÷ 5z(z+4) = z-4
Step-by-step explanation:
Given: z(5z²-80) ÷ 5z(z+4)
Calculation:
First we factor numerator z(5z²-80)
Take out 5 from 5z²-80 and we get 5z(z²-16)
Now we factor 16 = 4²
5z(z²-4²)
Using formula, (a²- b²)=(a+b)(a-b)
5z(z²- 4²)⇒5z(z+4)(z-4)
Simplified fraction
5z(z+4)(z-4) ÷ 5z(z+4)
Cancel like factor from numerator and denominator
⇒ z-4
Thus, z(5z²-80) ÷ 5z(z+4) = z-4
The quotient of 75 divided by 4 is 18.75, or 18
Answer:
4/5
Step-by-step explanation:
if log 32 base 4 = x, then 32^x = 4 -> x = 2/5
if log 243 base 9 = y, then 243^y=9 -> y = 2/5
therefore, the answer is 2/5+2/5=4/5
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