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Licemer1 [7]
3 years ago
9

A boat's value over time is given as the function f(x) and graphed below. Use A(x) = 400(b)x + 0 as the parent function. Which g

raph shows the boat's value decreasing at a rate of 40% per year?
Mathematics
1 answer:
love history [14]3 years ago
6 0
Pretty sure this is the correct answer.

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find two positive real numbers such that they sum to 108 and the product of the first times the square of the second is a maximu
topjm [15]

The two positive numbers are 36 and 72 which gives a sum equal to 108 and the product of 36 and the square of 72 is a maximum.

Any integer greater than zero is considered a positive number. A positive number can either be written as a number or with the "+" symbol in front of it.

Let us consider the two positive real numbers as x and y. Then, their sum is written as,

x+y=108

Then, y=108-x

And the product is written as,

P=xy²

Substitute value of y in the above equation, we get,

\begin{aligned}P&=x(108-x)^2\\&=x(11664-216x+x^2)\\&=11664x-216x^2+x^3\\&=x^3-216x^2+11664x\end{aligned}

Now, differentiate P with respect to x, and we get,

\begin{aligned}\frac{dP}{dx}&=3x^2-432x+11664\\&=x^2-144x+3888\end{aligned}

Solving the above equation to zero, we get,

\begin{aligned}x^2-144x+3888&=0\\x^2-36x-108x+3888&=0\\x(x-36)-108(x-36)&=0\\(x-108)(x-36)&=0\\x&=\text{108 or 36}\end{aligned}

Substitute values of x in y=108-x, to get values of y.

If we substitute x=108, we get the y value as zero which doesn't give the required solution.

But, if we substitute x=36, we get,

\begin{aligned}y&=108-36\\y&=72\end{aligned}

Thus, the two positive numbers are 36 and 72.

To know more about positive numbers:

brainly.com/question/1635103

#SPJ4

4 0
1 year ago
25 less than 3 times a number is 38. What is the number?
Nookie1986 [14]

You would set up the problem like this: 3n-25=38

To solve for n:

3n-25=38

   +25 +25          (Add 25 to both sides)

3n=63

/3   /3                  (Divide by 3 on both sides)

n=21

The answer is 21.

7 0
3 years ago
What is the solutions for x in the equation -2x+14+10x=34
san4es73 [151]

Answer:

x=2.5

Step-by-step explanation:

Put the like terms together, like so:

10x-2x=34-14

The result is this:

8x=20

Simplify to get:

x=2.5

3 0
3 years ago
Read 2 more answers
The total area of Wisconsin is 65498 square miles. Of that about 80% is land area. About how many of Wisconsin is not land area
geniusboy [140]

Answer:

52398.4 square miles


Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
What’s the answer ?
makvit [3.9K]

Answer:(D) is the answer

Step-by-step explanation:

for every cup grandma uses 3/4 of a cup of strawberry

6 0
2 years ago
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