Answer:x=−8 and y=8
Step-by-step explanation: Do you want it solved step by step?
Since there are 1500 people in your random sample, and the statistics show that 19.9% of people in that bracket smoke, convert your decimal to a percent (divide by 100, so you would get 0.199) and multiply that by the number in your sample, 1500. This gives you 298.5. You cannot have a fraction of a person, so round up to 299 people.
He had the equipment for 29 hours. Just divide 812 by 28
Answer:
h(n) = -2n -13
Step-by-step explanation:
m+1 = -2(n+6)
Distribute
m+1 = -2n-12
We want to solve for m, as we want a function of n
m +1-1 = -2n-12-1
m = -2n-13
h(n) = -2n -13
Log₄8 + 3 · log₄x
so the easiest way to do this is to note that these logs are separated by an addition symbol--it isn't "log₄8 + 3" times "log₄x"
log₄8
plus
3 · log₄x
for the second log, you can condense it with log properties/rules: the coefficient out front, when you condense it, becomes the exponent for the argument of your log:
3 · log₄x = log₄(x³)
so, having condensed that, your equation reads:
log₄8 + log₄(x³)
you could technically evaluate the first log, but the question wants both of these to become a single logarithm, which means you want to combine them. log properties state that if logs are being added, you can multiply their arguments (for example: logₓab = logₓa + logₓb)
you just want to apply that property to this, so you'll be multiplying your arguments 8 and x³:
log₄(8x³) is the answer, expressed as one logarithm.