A bug is traveling at a rate of 18 inches per minute. Write the rate in feet per minute. (12 in. = 1 ft)

Compare the two functions to see which has a greater rate of change. Function 1

AleksAgata [21]

Function 2 has greater rate of change

Step-by-step explanation:

In order to find the rate of change we have to covert the given linear functions in slope-intercept form

Function 1:

$-2x+5y = 10$

Adding 2x on both sides

$-2x+5y+2x = 2x+10\\5y = 2x+10$

Dividing both sides by 5

$\frac{5y}{5} = \frac{2x+10}{5}\\y = \frac{2}{5}x +\frac{10}{5}\\y = \frac{2}{5}x+2$

Let m1 be rate of change of function 1:

$m_1 = \frac{2}{5}$

Function 2:

$-6x+3y = 18$

Adding 6x on both sides

$-6x+3y+6x = 6x+18\\3y = 6x+18$

Dividing both sides by 3

$\frac{3y}{3} = \frac{6x+18}{3}\\y = \frac{6x}{3} + \frac{18}{3}\\y= 2x+6$

Let m2 be the slope of function 2

$m_2 = 2$

As we can see that

$m_2>m_1$

Function 2 has greater rate of change

Keywords: Linear functions, slope

Learn more about functions at:

#LearnwithBrainly

7 0

3 years ago

Which best describes the composition of tranformations that maps ∆LMN to ∆L'M'N'. 0,0 is the center of the dilation in each choi

Eduardwww [97]

Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'

<h3>What is transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.

Rigid transformation preserves the shape and size of the figure. Reflection, translation, rotation are rigid transformations.

Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'

Find out more on transformation at: brainly.com/question/4289712

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7 0

2 years ago

If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple ar

sleet_krkn [62]

This question is incomplete, the complete question is;

If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple are written in increasing order but are not necessarily distinct.

In other words, how many 5-tuples of integers ( h, i , j , m ), are there with n ≥ h ≥ i ≥ j ≥ k ≥ m ≥ 1 ?

Answer:

the number of 5-tuples of integers from 1 through n that can be formed is [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

Step-by-step explanation:

Given the data in the question;

Any quintuple ( h, i , j , m ), with n ≥ h ≥ i ≥ j ≥ k ≥ m ≥ 1

this can be represented as a string of ( n-1 ) vertical bars and 5 crosses.

So the positions of the crosses will indicate which 5 integers from 1 to n are indicated in the n-tuple'

Hence, the number of such quintuple is the same as the number of strings of ( n-1 ) vertical bars and 5 crosses such as;

$\left[\begin{array}{ccccc}5&+&n&-&1\\&&5\\\end{array}\right] = \left[\begin{array}{ccc}n&+&4\\&5&\\\end{array}\right]$

= [( n + 4 )! ] / [ 5!( n + 4 - 5 )! ]

= [( n + 4 )!] / [ 5!( n-1 )! ]

= [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

Therefore, the number of 5-tuples of integers from 1 through n that can be formed is [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

4 0

3 years ago

A.0 B.-7 C.1. D.undefined Whst one is is pls help

Musya8 [376]

Answer:

undefined

Step-by-step explanation:

The line on the graph is completely vertical, which is characteristic of an undefined graph.

4 0

3 years ago

whats 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

iris [78.8K]

Lol we honestly don’t know might wanna put it in a calculator

4 0

3 years ago

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