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3 years ago

What is the equation of the line? A. y= - 4x B. y= - 1/4x C. y=1/4x D. y=4x

Mathematics

1 answer:

zhuklara [117]3 years ago

5 0

The equation of the line is -1/4x=y. If you want to determine what is negative or positive, you look from the left to right. Looking from there, if it is positive, the line would go up, but if it is negative, then it would go down, which it is in this case. Now, to see if it is actually 1/4, try "rise over run." Rise indicates how high you go on the y axis and the run would indicate where you would go on the x axis. Here, the y axis goes up one, and the x axis goes right by 4 (Remember, it is negative)

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Isaac is on the 4th floor of a building. If he rides an elevator up 7 floors, what floor will he be on?

Lady_Fox [76]

An integer is a whole number.

1) if Isaac is on the 4th floor and goes up 7, that is 4 + 7= 11. So he is on the 11th floor.

2) the integer representing the floor he is starting on is 4 because that is the whole number associated with "4th."

3) the integer representing how many floors he will rise is 7.

4) the elevator will stop at 11.

Hope this helps! :)

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Big Red Gymnastics Academy charges an initial fee of $200 to rent its gym for birthday parties. The academy then charges an addi

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Step-by-step explanation:

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2 years ago

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Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

Bad White [126]

Answer:

The final answers are x = 1 OR x = -3.

Step-by-step explanation:

Given the equation is x^2 -3 = -2x

Rewriting it in quadratic form as:- x^2 +2x -3 = 0.

a = 1, b = 2, c = -3.

Using Quadratic formula as follows:- x = ( -b ± √(b² -4ac) ) / (2a)

x = ( -2 ± √(4 -4*1*-3) ) / (2*1)

x = ( -2 ± √(4 +12) ) / (2)

x = ( -2 ± √(16) ) / (2)

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x = 2/2 OR x = -6/2

x = 1 OR x = -3

Hence, final answers are x = 1 OR x = -3.

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2 years ago

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A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the

Basile [38]

Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

Given that, the volume of cylindrical can with out top is 25 cm³.

Consider the height of the can be h and radius be r.

The volume of the can is V= $\pi r^2h$

According to the problem,

$\pi r^2 h=25$

$\Rightarrow h=\frac{25}{\pi r^2}$

The surface area of the base of the can is = $\pi r^2$

The metal for the bottom will cost $2.00 per cm²

The metal cost for the base is =$(2.00× $\pi r^2$ )

The lateral surface area of the can is = $2\pi rh$

The metal for the side will cost $1.25 per cm²

The metal cost for the base is =$(1.25× $2\pi rh$ )

$=\$2.5 \pi r h$

Total cost of metal is C= 2.00 $\pi r^2$ + $2.5 \pi r h$

Putting $h=\frac{25}{\pi r^2}$

$\therefore C=2\pi r^2+2.5 \pi r \times \frac{25}{\pi r^2}$

$\Rightarrow C=2\pi r^2+ \frac{62.5}{ r}$

Differentiating with respect to r

$C'=4\pi r- \frac{62.5}{ r^2}$

Again differentiating with respect to r

$C''=4\pi + \frac{125}{ r^3}$

To find the minimize cost, we set C'=0

$4\pi r- \frac{62.5}{ r^2}=0$

$\Rightarrow 4\pi r=\frac{62.5}{ r^2}$

$\Rightarrow r^3=\frac{62.5}{ 4\pi}$

⇒r=1.71

Now,

$\left C''\right|_{x=1.71}=4\pi +\frac{125}{1.71^3}>0$

When r=1.71 cm, the metal cost will be minimum.

Therefore,

$h=\frac{25}{\pi\times 1.71^2}$

⇒h=2.72 cm

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

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Answer:

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Comment on the answer choices

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3 years ago