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marusya05 [52]
3 years ago
5

Suppose that x and y vary inversely, and x = 2 when y = 7. Write the function that models the inverse variation.

Mathematics
2 answers:
igor_vitrenko [27]3 years ago
8 0
The answer to the question is letter B. y=14/x
irga5000 [103]3 years ago
6 0
Since, in this case, we have 4 options then you just need to substitute each number.
A. y = 5/x
B. y = 14/x
C. y = 9/x
D. y = 3.5x
 
We know that x= 2 when y=7. So...
A. y = 5/x
    7=5/2
    7=2.5 
   This is false.

B. y = 14/x
    7= 14/2
    7=7
  This is right, So True.

C. y = 9/x
     7=9/2
     7=4.5
    False

D. y = 3.5x    7=3.5(2)
    7=7
  This one is also true.

In this case we look for definition.

he statement " <span>y </span>varies inversely as <span>x </span>means that when <span>x </span>increases, <span>y </span>decreases by the same factor. In other words, the expression <span>xy </span>is constant:
xy = k   

where k is the constant of variation.

We can also express the relationship between x and y as:

y =  k/x 

where k is the constant of variation.

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Tres hombres forman una sociedad y se ponen de acuerdo para repartir las ganancias en partes iguales x invierte $3500 y Y invier
Arlecino [84]
For this case, the total amount invested is:
 investment = 3500 + 1000 = 4500
 We must take out the percentage of what X invested.
 X investment = (3500/4500) * 100 = 77.78%.
 Therefore, X gets 77.78% of the profits:
 X profit = 0.7778 * 3000 = 2333.33 $
 answer
 if the profits are distributed in proportion to the amount invested X receives 2333.33 $
6 0
3 years ago
Helppp meee please this one confuses me
slava [35]

= (3x + 2)(x + 1) \\  = 3x(x + 1) + 2(x + 1) \\  =  {3x}^{2}  + 3x + 2x + 2 \\  =  {3x}^{2}  + 5x + 2

8 0
2 years ago
Divide 22 hours 24 minutes 40 seconds by 7​
miskamm [114]

Answer:

3 hours 12 minutes and 5.71 seconds

Step-by-step explanation:

7 0
3 years ago
The profit y (in dollars) for a business from selling x coats is represented by y=56x . Graph the equation.
Agata [3.3K]

Answer:

The graph of the equation is also attached.

From the graph, it is clear that at x = 0, the value of y = 0

Hence, the line passes through the origin with the y-intercept 0.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given that the profit y (in dollars) for a business from selling x coats is represented by the equation

y=56x

comparing with the slope-intercept form of the line equation

m = 56

<u>Determining the y-intercept</u>

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

substitute x = 0 in the equation

y = 56(0)

y = 0

Thus, the y-intercept b = 1

Thus,

The equation y = 5x has:

  • The slope m = 56
  • The y-intercept b = 1

The graph of the equation is also attached.

From the graph, it is clear that at x = 0, the value of y = 0

Hence, the line passes through the origin with the y-intercept 0.

4 0
3 years ago
What’s the answer???(SOMEONE PLEASE HELP ME)
slava [35]

I think it's D. I will admit that I'm an educated guess.

8 0
3 years ago
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