Answer: x=2 - 1/2 x ㏒(16/2953125)
Step-by-step explanation:
- log (28^2) + log(525^-3) + 2x=log(10^4)
- log(28^2 x 1/523^3) + 2x=4
- log(28^2/525^3) + 2x=4
- log (112/75 x 75 x 525) + 2x=4
- log(16/2953125) + 2x=4
- 2x=4-log(16/2953125)
- <u><em>x=2-1/2 x log(16/2953125)</em></u>
Answer: y ≥ (3/5)*x - 3
Step-by-step explanation:
In the graph, we can see that we are above a bold line, that goes through the points (0, -3) and (5, 0)
First, let's find the equation for this line:
y = a*x + b
the value of a is the slope and is equal to:
a = (0 - (-3))/(5 -0) = 3/5
and the value of b is the point where the line intersects the y-axis, in this case, b = -3
then our line is
y = (3/5)*x - 3
As the shaded part is above the line, this equality represents the minimum value that y can take for a given x, and because the line is not a doted line, we know that the equality is valid, so we must use the ≥ symbol.
y ≥ (3/5)*x - 3
Answer:
14.387
Step-by-step explanation:
11/8 or 13/8 is the answer.
