Ask question

Ask question

All categories

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.

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.

You might be interested in

Given points F(3,1), G(5,2) H(2,4), and J(1,6)

Karo-lina-s [1.5K]

The slopes of perpendicular lines are opposite reciprocals

The true statement is that segments FG and HJ are perpendicular

<h3>How to determine the relationship between the segments</h3>

The coordinates of the points are given as:

F = (3,1)

G = (5,2)

H = (2,4)

J = (1,6)

Start by calculating the slopes of FG and HJ using the following slope formula

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$FG = \frac{2 -1}{5 -3}$

$FG = \frac{1}{2}$

Also, we have:

$HJ = \frac{6 - 4}{1 - 2}$

$HJ = \frac{2}{-1}$

$HJ = -2$

To determine the relationship, we make use of the following highlights

Parallel lines have the same slope
The slopes of perpendicular lines are opposite reciprocals

From the computation above, we have:

The slopes of both lines are not equal
The slopes are opposite reciprocals i.e. 2 = -1(-1/2)

Hence, segment FG and HJ are perpendicular

Read more about perpendicular lines at:

brainly.com/question/2531713

7 0

3 years ago

Write the slope-intercept form of the equation of the line passing through the point (5, 5) and perpendicular to the line y = 4/

timofeeve [1]

Answer:

y = -9/4x + 16 1/4

Step-by-step explanation:

lmk if you want an explanation

5 0

3 years ago

Slope from two points

Andru [333]

Answer:

- 5/7

Step-by-step explanation:

y2 - y1 / x2 - x1

(-3 - 2) / (3 + 4)

<u>- 5/ 7</u>

<u></u>

8 0

3 years ago

A bag contains counters that are red, black , or green . 1/3 of the counters are red 1/6 of the counters are black There are 15

Nadya [2.5K]

Answer:

There are 5 black counters in the bag.

Step-by-step explanation:

15 green counters in the bag

The proportion of green counters is given by:

$p = 1 - (\frac{1}{3} + \frac{1}{6}) = 1 - (\frac{2}{6}+\frac{1}{6}) = 1 - \frac{3}{6} = 1 - \frac{1}{2} = \frac{2}{2} - \frac{1}{2} = \frac{1}{2}$

So, we have that, the total is x. So

$\frac{x}{2} = 15$

$x = 30$

There are 30 total counters.

How many black counters are in the bag ?

A sixth of the counters are black. So

$\frac{1}{6} \times 30 = \frac{30}{6} = 5$

There are 5 black counters in the bag.

8 0

3 years ago

Convert: 16 c =________gal

tester [92]

Answer:

16 cups is 1 gallon

Step-by-step explanation:

because there are 16 cups in a gallon

5 0

3 years ago