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erica [24]
3 years ago
10

Find 2 positive real numbers that differ by 1 and have a product of 1

Mathematics
1 answer:
velikii [3]3 years ago
6 0
A) x -y =1
B) x * y =1
B) y = 1/x

A) x -(1/x) = 1
Multiplying both sides by "x"
A) x^2 -1 = x
A) x^2 -x -1 = 0

Solving by the quadratic formula
x = 1.618 and
y = .618

Interestingly, the number 1.6180339... is called the "phi ratio" or the "golden ratio".
https://en.wikipedia.org/wiki/Golden_ratio




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Solve the following system of equations: 3x − 2y = 6 6x − 4y = 12 (0, 0) (6, 12) Infinitely many solutions No solutions
Fantom [35]

<u>Answer:</u>

The correct answer option is: infinitely many solutions.

<u>Step-by-step explanation:</u>

We are given the following system of equations:

3 x - 2 y = 6 --- (1)

6 x - 4 y = 1 2 --- (2)

Dividing equation (2) by 2 to get:

3 x - 2 y = 6 --- (3)

As the equation (3) is same as the equation (1), therefore the system will have infinitely many solutions.

7 0
3 years ago
Read 2 more answers
Why do we use a coeficient to remove the propotionality
Salsk061 [2.6K]
Constant is the scale term in proportionality. Suppose one variable is dependent on the other and one variable become twice, other becomes also twice and if one becomes half, other too becomes half., but they are two different variables which are no-where linked (like cost(money) vs quantity). Quantity and cost are two different things but they abridge a mathematical relation of proportionality. So in the mathematics to abridge these two different variables, we need something. Constant serves that purpose.
5 0
3 years ago
Fabulous fitness charges a one time fee of $90 and an additional $25 per month wonder weights charges a one time fee of only $ 2
Aleksandr-060686 [28]

Answer:

9 months

Step-by-step explanation:

Given

Fabulous fitness charges a one-time fee of $90 and an additional $25 per month

let the number of months be x

and the total charges be y

y= 25x+90---------1

Wonder weights charges a one-time fee of only $ 27 dollars but charge an additional $32 each month

let the number of months be x

and the total charges be y

y= 32x+27------------2

Required

The value of x, that is the number of months

Step two:

Equating both equations we have

25x+90=32x+27

collect like terms

25x-32x=27-90

-7x=-63

7x=63

divide both sides by  7

x= 63/7

x= 9 months

6 0
3 years ago
Hey! I would really love it if someone could help me
Umnica [9.8K]
Alrigth and B....

I think??????????? If I get it wrong im sorry ;-;
4 0
3 years ago
What is the equation of the line that passes through
irinina [24]
Solve equation for y.

5x - y = 3

-y = -5x + 3

y = (-5x + 3)/(-1)

y = 5x - 3

The slope for this equation is 5.

The slope of the equation we want is the negative reciprocal of 5.

Let m = slope of equation we want.

m = -1/5

We are given the point (10,4).

Plug both into the point-slope formula.

y - 4 = (-1/5)(x - 10)

y - 4 = (-1/5)x + 2

y = (-1/5)x + 2 + 4

The equation we want is

y = (-1/5)x + 6

Did you follow?
7 0
3 years ago
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