What is the rate of change for the following? (4,5) (2, 15)

Mathematics

2 answers:

Alex3 years ago

6 0

Answer:

-5

Step-by-step explanation:

Given these two points, we can just plug them into the slope formula.

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

$\frac{15-5}{2-4}\\\\\frac{10}{-2} \\\\-5$

Evgen [1.6K]3 years ago

3 0

Answer:

-5

Step-by-step explanation:

Rate of Change also slope

Slope = y-y1/x-x1 = tanα = y/x

15-5/2-4 = 10/-2 =-5

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Drupady [299]

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3 years ago

Sophie and Simon are peeling a pile of potatoes for lunch in the cafeteria. Sophie can peel all the potatoes by herself in 45 mi

tensa zangetsu [6.8K]

Short Answer: 18 minutes
Remark
The answer to this problem is less than the smallest time of the two people working together. that fact lets out C and D (38 minutes and 75 minutes). Now you have to choose 15 minutes and 18 minutes. There's a method. No guessing needed.

Givens
Let the time for Sophie = S
Let the time for Simon = M
Let the job to completion = 1
S = 45 minutes
M = 30 minutes

Step One
Convert minutes to hours.
45 minutes = 45 / 60 = 3/4 hour = 0.75 hour
30 minutes = 30 / 60 = 1/2 hour = 0.50 hour

Step Two
Set up the Equation
The formula is a form of job / hour.
Let the time = t that they both have to work

job = 1 in these problems.
1/S + 1/M = 1/t
1/0.75 + 1/0.5 = 1/t

Solve
1 ÷ 0.75 = 1.33333
1 ÷ 0.5 = 2

1.3333 + 2 = 3.33333
3.3333 = 1 / t Multlply both sides by t
3.3333*t = 1
t = 1 / 3.333333333
t = 0.3 of an hour

1 hour = 60 minutes
0.3 hours = x Cross Multiply
x = 60 * 0.3
x = 18 minutes

Answer working together it took them 18 minutes <<<<<

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3 years ago

Read 2 more answers

If f(x)=5x-13, then f^-1(x)=

svet-max [94.6K]

Answer:

Hello,

If f(x)=5x-13, then f^-1(x)= $\frac{1}{5x-13}$