Asap BRAINLIEST to anyone who get this correct. Factor the expression below.
1 answer:
Answer:
D. (2x - 5)(2x - 5)
Step-by-step explanation:
4 is a perfect square, with its two identical factors being 2. The number 25 is also a perfect square, with its two identical factors being 5. This leaves us with the answer choices:
C. (2x + 5)(2x + 5)
OR
D. (2x - 5)(2x - 5)
However, when you solve answer "C," the result is:
But we need the middle term to be -20x, so answer "D," is correct since it has -5 instead of positive 5.
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Answer:
Profit function: P(x) = -0.5x^2 + 40x - 300
profit of $50: x = 10 and x = 70
NOT possible to make a profit of $2,500, because maximum profit is $500
Step-by-step explanation:
(Assuming the correct revenue function is 90x−0.5x^2)
The cost function is given by:
And the revenue function is given by:
The profit function is given by the revenue minus the cost, so we have:
To find the points where the profit is $50, we use P(x) = 50 and then find the values of x:
Using Bhaskara's formula, we have:
So the values of x that give a profit of $50 are x = 10 and x = 70
To find if it's possible to make a profit of $2,500, we need to find the maximum profit, that is, the maximum of the function P(x).
The maximum value of P(x) is in the vertex. The x-coordinate of the vertex is given by:
Using this value of x, we can find the maximum profit:
The maximum profit is $500, so it is NOT possible to make a profit of $2,500.
Answer:
Step-by-step explanation:
(1). A = π r²
A = 4 π
Area of shaded region is =
or
(2). C = 4 π
In this case, the length of the bigger arc and the area of shaded region happen to be the same.
The length of the arc ADB is or