First take note of the domain of <em>f(x)</em> ; the square root term is defined as long as <em>x</em> - <em>x</em> ² ≥ 0, or 0 ≤ <em>x</em> ≤ 1.
Check the value of <em>f(x)</em> at these endpoints:
<em>f</em> (0) = 0
<em>f</em> (1) = 0
Take the derivative of <em>f(x)</em> :
For <em>x</em> ≠ 0, we can eliminate the √<em>x</em> term in the denominator:
<em>f(x)</em> has critical points where <em>f '(x)</em> is zero or undefined. We know about the undefined case, which occurs at the boundary of the domain of <em>f(x)</em>. Check where <em>f '(x)</em> = 0 :
√<em>x</em> (3 - 4<em>x</em>) = 0
√<em>x</em> = 0 <u>or</u> 3 - 4<em>x</em> = 0
The first case gives <em>x</em> = 0, which we ignore. The second leaves us with <em>x</em> = 3/4, at which point we get a maximum of max{<em>f(x) </em>} = 3√3 / 2.
This suggests that he buys products with higher prices than other similar products. But this type of market(monopolistic competition) is great though, because there are lesser suppliers than in the pure competition where products are almost within the same price ranges. In a monopolistic competition, suppliers sell their products with a justifiable high price. This is also an advantage for the buyers, they would be able to consume and be satisfied with products of high quality.
Answer:
Equation B, 10 + 5.50n = y.
Step-by-step explanation:
N is the pounds of shrimp that were purchased. This has no set value, it can change at any time.
Since each pound of shrimp is $5.50, if you wanted to buy 10 pounds of fish you'd pay $55.
If I wanted to write an equation to find the total amount of money that I'd need to pay for n pounds of shrimp, I would use the equation 5.50n. (I don't know if this makes sense lol I'm terrible at explaining ;-;)
Now, it states that he wants an extra 10 dollars to pay for expenses. On top of the 5.50n, he wants an extra $10.
You need to add 10 to 5.50, in order to get the total amount, or y.
The final equation is going to be 5.50n + 10 = y, or choice B.
Answer:
1. the interior angle measure of a parallelogram is 360 degrees
2. diagonal of a parallelogram bisect it into two congruent triangles
3. opposite angles of a parallelograms are congruent
4. a parallelogram has two pairs of parallel sides.
5. consecutive angles of a parallelogram are supplementary
Step-by-step explanation: