<h3>
Answer is 0</h3>
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Explanation:
Logarithms are used to solve exponential equations. Specifically if you have a variable in the exponent, then you use a log to isolate the variable.
If we set the given log expression to x, then we can rewrite it into 8^x = 1. The only value of x that works is x = 0.
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Or put another way,
8^x = 1
8^x = 8^0 ... replace the 1 with 8^0
x = 0 ... the bases are equal (to 8) so the exponents must be equal
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You can use the change of base formula to directly calculate this log
Answer:
Step-by-step explanation:
The greater side has greater angle opposite
<u>Sides in ascending order:</u>
<u>Angles in ascending order:</u>
Step-by-step explanation:
First, we want to find profit given revenue and cost. Because profit = revenue - cost, we can write the profit function, P(x), as R(x) - C(x) and go from there.
P(x) = R(x) - C(x)
P(x) = (-x²+24x) - ( 10x + 30)
P(x) = -x²+24x - 10x-30
P(x) = -x²+14x-30
In a quadratic function such as this, the graph opens downward (meaning that it goes from up to down) if the leading coefficient is negative and vice versa. Here, since -1 is attached to x², we can say that the graph opens downward. The point where the direction of the slope changes (when it goes from up to down), or the peak of the quadratic, is called the vertex.
The x value of the vertex is given by -b/(2a) in a quadratic of form ax²+bx+c. As a=-1 and b=14 here, we can say that -b/(2a) =
-14/(2*-1) = -14/-2
= 7
Therefore, the x value of the vertex, or the number of containers sold that maximizes profit, is 7.
the answer is the first choice
