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iragen [17]
3 years ago
7

If a point is in the fourth quadrant,then it's coordinates are negative?

Mathematics
2 answers:
AnnZ [28]3 years ago
8 0
X is positive and y is negative in quadrant IV
Yanka [14]3 years ago
6 0
Q1: (positive, positive)
Q2:(negative, positive)
Q3:(negative,negative)
Q4:(positive,negative)
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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
a certain parrot medicine comes in 5 gram bottles. natalie's parrot needs 250 mg of this medicine every day.if natalie buys one
Genrish500 [490]

Answer:50

Step-by-step explanation:

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3 years ago
I know how many line of symmetry but i dont know how to explain how i found the lines so can someone do it for me?
11111nata11111 [884]
2 because there are 4 numbers of edges and 4 vertices
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3 years ago
Describe the solutions of 5 <n​
Ainat [17]

Answer:

D

Step-by-step explanation:

All real number less than 5

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3 years ago
Which of the following transformations will not always result in a congruent image?
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Answer:

Step by step

A) Dilation

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