81/4
Step-by-step explanation:


9=4x/9
81=4×
x=81/4
adding logs means elements are multiplied, subtracting means divide. number in front of log is raised to power
base of log is raised to power of element after =
element in log is then equal to log base raised to power
solve resulting equation
Answer:

Step-by-step explanation:
From C-A, it goes from y=1 to y=5, so that 4 units
From A-B, it goes from x = -1 to x = 4, that is 5 units
Now, to find distance from B to C, we need to use the distance formula:

Where the variables are the respective points of B and C,
B (4,5) & C(-1,1)
So x_1 =4, y_1=5, x_2=-1, y_2=1
Plugging into the formula we get:

Summing it all (perimeter is sum of 3 sides):
Distance = 
3rd answer choice is right.
Answer:
B. 11.85% = 12%
Step-by-step explanation:
500 * .10 + 300 * .15 = 50 + 45 = 95.
95/800 = .11875
.11875 = 11.875%
Problem 1
The portion from t = 0 to t = 5 represents going downhill, which is a total duration of 5 seconds. This is because the speed is going up (the y values are increasing) as you move from right to left for this interval. It looks like you're going uphill here, but keep in mind that the y axis is not position. Instead, the y axis represents speed.
Answer: 5 seconds
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Problem 2
You have the correct table. Nice job. Don't forget to show your work if your teacher requires it.
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Problem 3
f(x) = x*|-2|^x
f(3) = 3*|-2|^3 ... replace every x with 3
f(3) = 3*(2)^3
f(3) = 3*8
f(3) = 24
The input is x = 3 which leads to the output y = 24
The ordered pair (x,y) = (3,24) is on the function curve
Answer: 24