Answer:
t-shirts: 2790
profit: $12209
Step-by-step explanation:
Given the function:
p(x) = -x³ + 4x² + x
we want to maximize it.
The following criteria must be satisfied at the maximum:
dp/dx = 0
d²p/dx² < 0
dp/dx = -3x² + 8x + 1 = 0
Using quadratic formula:
d²p/dx² = -6x + 8
d²p/dx² at x = -0.12: -6(-0.12) + 8 = 8.72 > 0
d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0
Then, he should prints 2.79 thousands, that is, 2790 t-shirts to make maximum profits.
Replacing into profit equation:
p(x) = -(2.79)³ + 4(2.79)² + 2.79 = 12.209
that is, $12209
Deductive reasoning is one that necessarily follows, not one that likely follows (this would be an inductive reasoning).
Here the important information is that all squares are also parallellograms, which means that they also necesarily have all the properties of the parallelogram - the correct answer is D.
<span>A peer-viewed article. </span>
Hey!
Hope this helps...
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To solve this, we will be doing a semi-alternate route, but it will get us to our answer...
400 / 100 = 4
30 / 4 = 7.5 seconds
60 * 60 * 7.5 = 27,000 meters per hour
<em></em><em>Lets plug it into our meters to miles formula...</em>
27,000 / 1,609.344 ~ 16.777 miles per hour
So...
The answer is: The Polar Express was going 27,000 meters per hour (or roughly close to 16.777 miles per hour)...
90.89, 90.9, 98.9, .09
67.33, 67.03, .87, .09
