Answer:
ln(2) + 3ln(a) - 4ln (b)
Step-by-step explanation:
ln(2a^3 /b^4)
We know that ln(x/y) = ln (x) - ln y
ln(2a^3 ) - ln (b^4)
We know that ln (xy) = ln x + ln y
ln(2) + ln(a^3 ) - ln (b^4)
We know that ln(x^y) = y ln (x)
ln(2) + 3ln(a) - 4ln (b)
Answer:
c
Step-by-step explanation:
A(-3,5) to B(8,1)
That makes a right triangle 8 - -3 = 11 in the x direction, 5 - 1 = 4 in the y direction.
d² = (8 - -3)² + (1 - 5)² = 11² + (-4)² = 121 + 25 = 146
d = √146 = 12.083045973594572
Answer: 12.1
The difference between Tucker and Karly's take is that Tucker's solution is analytical while Karly's is graphical. But both are correct either way.
For Tucker's solution, let's say at x=-3 the value for y is 4, and at x=3, the value of y is still 4, then the average rate of change or slope is 0. Note that the slope of the curve is Δy/Δx. Since there is no change for Δy, the slope is zero.
For Karly's solution, even if the curve travels high or low but would have the same elevation of x=-3 and x=3, the average rate of change is still zero. It is actually just same with Tucker's but Karly just verbalizes her solution that was observed visually.
The two possible answers are w = 3 and w = -1/5
These answers can be obtained through solving to the absolute value symbols.
<span>−2∣5w−7∣+9=−7 ---> subtract 9 from both sides
</span><span>−2∣5w−7∣= -16 ---> divide both sides by -2
</span>∣5w−7∣= 8
Now, because of the absolute value symbols, set the inside equal to 8 and -8 for the two answers.
5w - 7 = 8
5w = 15
w = 3
AND
5w - 7 = -8
5w = -1
w = -1/5
