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2 years ago

What is the equation of the following direct variation?

Mathematics

1 answer:

balandron [24]2 years ago

4 0

Answer:

y = -2x

Step-by-step explanation:

A "direct variation" relationship has the form y = kx, where k is the "constant of proportionality.

Note that this graph goes thru the origin (which it must, to represent direct variation), and that it has a steep negative slope. That narrows down the answer choice to the first one: y = -2x.

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The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu

IgorC [24]

Answer:

$\frac{1}{9}$

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

$\sqrt{xy}$

The Arithmetic mean is

$\frac{x + y}{2}$

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

$\frac{ \sqrt{xy} }{ \frac{x + y}{2} } = \frac{3}{5}$

We can write the equation;

$\sqrt{xy} = 3$

$xy = 9 - - - (2)$

and

$\frac{x + y}{2} = 5$

$x + y = 10 - - - (2)$

Make y the subject in equation 2

$y = 10 - x - - - (3)$

Put equation 3 in 1

$x(10 - x) = 9$

$10x - {x}^{2} = 9$

${x}^{2} - 10x + 9 = 0$

$(x - 9)(x - 1) = 0$

$x =1 \: or \: 9$

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

$\frac{1}{9}$

3 0

2 years ago

The heights of American men aged 18 to 24 are approximately normally distributed with mean 68 inches and standard deviation 2.5

MissTica

Answer:

78.81

Step-by-step explanation:

6 0

2 years ago

Please help me this is urgent! Both need an answer.

dolphi86 [110]

My answer is B and A that's my answer

3 0

3 years ago

Need help with two of these! Thank you

astraxan [27]

Step-by-step explanation:

17) 3x+5-12+4x+2x

3x+4x+2x +5-12

8x-7

if x =6

8*6-7 =48-7

= 41

18.) 9(3x-4y+8)

27x-36y+72

6 0

2 years ago

A piece of string is 1650 cm long.

balandron [24]

Answer: The smaller piece is 750m long.

Step-by-step explanation:

let the smaller piece be x

150m + x + x = 1650

150 + 2x = 1650

or, 2x = 1500

so, x = 750 m

4 0

2 years ago

Read 2 more answers