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3 years ago

Suppose x is the height of a building and y is the number of rooms in the building. Which quadrant does the point (x,y) lie on?

Mathematics

1 answer:

Anni [7]3 years ago

5 0

Answer:

First quadrant.

Step-by-step explanation:

Quadrants:

In the first quadrant, both x and y are positive, that is, x > 0, y > 0.

In the second quadrant, x is negative while y is positive, that is, x < 0, y > 0.

In the third quadrant, both x and y are negative, that is, x < 0, y < 0

In the fourth quadrant, x is positive while y is negative, that is, x > 0, y < 0

In this question:

Both the height of a building, which is x, and the number of rooms in the building, which is x, have to be positive numbers, and thus, the point (x,y) lies on the first quadrant.

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You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

8 0

3 years ago

Cual expresion es equivalente a 5n+8 when n is equal 2

FromTheMoon [43]

If n is 2, you substitute 2 for n and multiply 5(2)+8= 10 +8 = 18

7 0

3 years ago

Estimation is best defined as: a. both a process of inferring the values of unknown samples statistics from those of known popul

Ghella [55]

Answer:

Option D is the correct answer - Estimation is best defined as a process of inferring the values of unknown samples statistics from those of known population parameters

Step-by-step explanation:

Estimation involves the usage of the value of a statistic derived from a sample to estimate the value of a corresponding population parameter.

The sample provides information that can be extended, through several formal or informal processes, to determine a range most suitable to describe the missing information.

An estimate that turns out to be incorrect would either be termed as over-estimation or under-estimation. If the estimate exceeds the actual result, it is termed as an over-estimation, and as an under-estimation, if the estimate came short of the actual result.

Thus, option D is correct.

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3 years ago

How do you plot 2 2/3 on a number line?

Nastasia [14]

Answer:

find 2 then from 2 and 3 find about 2/3 of the way from 2-3 and plot it there

Step-by-step explanation:

5 0

3 years ago

For the inequality, decide whether the solution is represented by x <2.5 OR x >2.5. -25 > -5(x+2.5)

omeli [17]

To solve the inequality -25 > -5(x + 2.5), first multiply -5 by the number and variable in the parentheses.

-25 > -5x - 12.5

Now add 12.5 to both sides of the equation.

-25 + 12.5 > -5x - 12.5 + 12.5

-12.5 > -5x

Now divide -12.5 by -5 to get the answer.

-12.5 ÷ -5 is 2.5

You would think the final answer is 2.5 > x, but that is not true because -5 is negative and when a negative number is divided to both sides of an inequality, the sign gets flipped.

So, the real answer is 2.5 < x, or x > 2.5.

3 0

3 years ago

Suppose x is the height of a building and y is the number of rooms in the building. Which quadrant does the point (x,y) lie on?​

Suppose x is the height of a building and y is the number of rooms in the building. Which quadrant does the point (x,y) lie on?