All categories

3 years ago

Which set of ordered pairs is not a direct variation?

Mathematics

1 answer:

Nina [5.8K]3 years ago

8 0

Answer:

The first option is not a direct variation

Step-by-step explanation:

When we talk of a direct variation, as one value increases, the other value increases too

Or as one value decreases, the other value decreases

A direct variation is of the form;

y = kx

k = y/x

where k is the coefficient of variation that must be a constant value all through the set of values

The values we are comparing here are the x and y values

let us take a look at the options;

The first option is not a direct variation

For the first option, the rate of increase is not constant;

2/6 = 1/3 , 8/12 = 2/3 , 14/18 = 7/9

for the second;

the ratio is 1 to 1

for the third;

3/6 = 1/2 ; 6/12 = 1/2; 9/18 = 1/2

for the fourth;

2/6 = 1/3, 4/12 = 1/3 , 6/18 = 1/3

You might be interested in

???????????!!!!!!!!????!!?!?!!!!!!!!!!!!

Schach [20]

Answer:

The answer is D.) infinitely many solutions mate

8 0

3 years ago

Read 2 more answers

A video game arcade offers a yearly membership with reduced rates for game play. A single membership costs $60 per year. Game to

Nastasia [14]

Let

x-------> the number of game tokens purchased for a member of the arcade

y-------> the function of the yearly cost in dollars

we know that

the function y of the yearly cost in dollars is equal to

$y =\frac{1}{10} x +60$

This is the equation of the line

using a graph tool

see the attached figure

Statements

case a) The slope of the function is $1.00

The statement is False

The slope of the function is equal to $\frac{1}{10} \frac{\$}{tokens}$

case b) The y-intercept of the function is $60

The statement is True

we know that

The y-intercept of the function is the value of the function when the value of x is equal to zero

for $x=0$

$y =\frac{1}{10}*0 +60$

$y =\$60$

case c) The function can be represented by the equation y =(1/10)x + 60

The statement is True

The equation of the function is equal to $y =\frac{1}{10} x +60$

case d) The domain is all real numbers

The statement is False

The value of x cannot be negative, therefore the domain is the interval

[0,∞)

case e) The range is {y| y ≥ 60}

The statement is True

The range of the function is the interval-------> [60,∞)

see the attached figure

8 0

3 years ago

Read 2 more answers

single die is rolled twice. Find the probability of rolling an oddodd number the first time and a number greater than 33 the sec

givi [52]

Answer:

$\frac{1}{4}$

Step-by-step explanation:

A single die is rolled twice, we have to find the probability of rolling an odd number in first throw and a number greater than 3 in the second throw.

a) Rolling an Odd number in first throw

A die has total 6 possible outcomes, out of which 3 are odd numbers i.e. 1,3 and 5

So, total number of possible outcomes = 6

Total Favorable outcomes (Odd numbers) = 3

Probability is defined as the ratio of favorable outcomes to total number of outcomes. So,

The probability of rolling an odd number would be = $\frac{3}{6} = \frac{1}{2}$

b) Rolling a number greater than 3 in second throw

Here again total possible outcomes = 6

Favorable outcomes (Numbers greater than 3 are 4, 5 and 6) = 3

So,

The probability of rolling a number greater than 3 = $\frac{3}{6} = \frac{1}{2}$

These two events(rolls) are independent of each other, so the overall probability of both events occurring would be the product of individual probabilities.

So,

Probability of rolling an odd number the first time and a number greater than 3 the second time = $\frac{1}{2} \times \frac{1}{2} = \frac{1}{4}$

6 0

3 years ago

A bus trip takes 1.5 hours. By plane, the same trip takes 30 minutes. How

DENIUS [597]

Answer:

2 times faster

Step-by-step explanation:

because the plane takes one hour less than the bus and 60 min equal a hour and 30 plus 30 equal 60 which is a hour so then it would be 2 times as faster because it is 30 twice to equal the 60

4 0

3 years ago

Can someone please tell me the answer on this.

marishachu [46]

Answer: x = 31

Step-By-Step:

To Find x:

$\left(2x+20\right)+\left(x+10\right)+\left(2x-5\right)=180$ (Angle Sum Property Of Triangles)