Find the relative maximum and let the relative minimum pf f(x) = x3

Change to a whole or mixed 17/5

krek1111 [17]

Answer:

3 2/5

Step-by-step explanation:

17/5

How many times does 5 go into 15

5*3 =15 3 times

17-15 =2 so there is 2 left over. This goes over the denominator

3 2/5

5 0

3 years ago

Read 2 more answers

Explain why the function is discontinuous at the given number

Blizzard [7]

For $f$ to be continuous at $x=5$ , we need to have

$\displaystyle\lim_{x\to5}f(x)=f(5)$

Note that $x\to5$ means that $x\neq5$ , but that $x$ is *approaching* 5. We're told that for $x\neq5$ , we have

$f(x)=\dfrac{x^2-5x}{x^2-25}$

We can write

$\dfrac{x^2-5x}{x^2-25}=\dfrac{x(x-5)}{(x+5)(x-5)}=\dfrac x{x+5}$

and the limit would be

$\displaystyle\lim_{x\to5}\frac x{x+5}=\dfrac5{5+5}=\dfrac5{10}=\dfrac12\neq1=f(5)$

and so $f$ is discontinuous.

5 0

3 years ago

What is the mode of the following set of numbers: 10, 20, 30, 20, 30, 10, 30, 20, 30, 15 *

likoan [24]

Answer:

A. 30

Step-by-step explanation:

Because it showed up the most

6 0

3 years ago

Read 2 more answers

There are four steps in the manufacturing process of a stuffed toy: cutting, stuffing, sealing, and packaging. There are two emp

Anit [1.1K]

Answer:

(a) 2min/15units

(b) 1min/20units

(c) The bottleneck stage is cutting. The process capacity is 450units/hour

(d) The capacity of the new employee should be 1unit/2sec. The process capacity will increase four times

Step-by-step explanation:

(a) Cycle time for stage cutting for 2 employees = 16sec/2units × 1min/60sec = 2min/15units

(b) Cycle time for stage sealing for 1 employee = 3sec/1unit × 1min/60sec = 1min/20units

(c) Process capacity of stage cutting = 15units/2min × 60min/1hour = 450units/hour

(d) If the capacity of the new employee is 1unit/2sec, the process capacity = 1unit/2sec × 3600sec/1hour = 1800units/hour. The process capacity increases 4 times (1800/450 = 4)

7 0

3 years ago

At 12pm, the temperature was 57o F. By 5pm, the thermometer read 36o F. Assuming a constant change in temperature, calculate and

BaLLatris [955]

Answer:

Unit rate of change = -4.2°F/hour

Step-by-step explanation:

Assuming a constant rate of change, a relationship between the change of temperature as a function of time (in hours) can be described as follows:

$r= \frac{(36^oF - 57^o F)}{17 - 12}\\r= \frac{-4.2^o F}{hour}$

There is a temperature drop from 12pm to 5pm, which explains the rate of change being negative. This rate means that at every hour that goes by, the temperature drops by 4.2 degrees.

6 0

3 years ago

Find the relative maximum and let the relative minimum pf f(x) = x3 - 3x + 1