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Charra [1.4K]
3 years ago
15

flora went trick or treating and got a total of 95 candies. She had 21 more hard candies than chocolates and twice as many gummy

bear candies than hard candies. How many hard candies did she get?
Mathematics
1 answer:
Troyanec [42]3 years ago
5 0
I believe she has 42 hard candies. I'm not too sure. 
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Please, use " ^ " to denote exponentiation: x^2 + 4x - 21 = 0


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Sam wants to take his drone on a car trip. An hour before they plan to leave, he realized that he forgot to charge the batteries
snow_lady [41]

Answer:

See explanation

Step-by-step explanation:

The question is incomplete..

The given parameters can only solve for the number of hours the battery can last if at full capacity.

Given

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First, we need to determine the full capacity (100%)

So, we have:

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The total monthly profit for a firm is P(x)=6400x−18x^2− (1/3)x^3−40000 dollars, where x is the number of units sold. A maximum
wlad13 [49]

Answer:

Maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

Step-by-step explanation:

We are given the following information:P(x) = 6400x - 18x^2 - \frac{x^3}{3} - 40000, where P(x) is the profit function.

We will use double derivative test to find maximum profit.

Differentiating P(x) with respect to x and equating to zero, we get,

\displaystyle\frac{d(P(x))}{dx} = 6400 - 36x - x^2

Equating it to zero we get,

x^2 + 36x - 6400 = 0

We use the quadratic formula to find the values of x:

x = \displaystyle\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}, where a, b and c are coefficients of x^2, x^1 , x^0 respectively.

Putting these value we get x = -100, 64

Now, again differentiating

\displaystyle\frac{d^2(P(x))}{dx^2} = -36 - 2x

At x = 64,  \displaystyle\frac{d^2(P(x))}{dx^2} < 0

Hence, maxima occurs at x = 64.

Therefore, maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

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3 years ago
Which point is the image of point R(4, -7) first reflected across the x-axis and then across the y-axis?
nasty-shy [4]

Answer:

(-4, 7)

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