All categories

2 years ago

Explain how to graph the given piecewise-defined

Mathematics

1 answer:

Pavlova-9 [17]2 years ago

5 0

The Piecewise -Defined function and how it is graphed is given below..

<h3>What is the explanation of how the Piecewise -Defined function is graphed?</h3>

Given the function in the attached image,

The Graph of f(x) = -x + 3 is drawn for x less than 2 because x is bounded.

The Graph of f(x) = 3 is draw for x greater than and equal to 2 and less than 4 because x is bounded.

The Graph of f(x) = 4 - 2x is draw for x greater than equal to 4 because x is bounded.

See the attached Graph for better understanding.

f(x) = -x + 3 is coded purple.
f(x) = 3 is coded orange.
f(x) = 4 - 2x is coded green.

Learn more about Piecewise -Defined function:
brainly.com/question/18859540
#SPJ1

You might be interested in

Help. I’m really bad at math. What is the answer?

zhenek [66]

10) (9,-3); m=2

(a) y=2x-11
Plug in the variables that are constant on both the given line and the new one.
y=mx+b

-3=2(9)+b

Do not input b, as the y intercept is relative to the specific line, and not others.

-3=18+b
-3-18=b
-21=b

The y intercept of the new line is -21.

FINAL ANSWER::y=2x-21

(b) y=2x-21
Plug in the variables that are constant on both the given line and the new one.
y=mx+b

-3=2(9)+b

Do not input b, as the y intercept is relative to the specific line, and not others.

-3=18+b
-3-18=b
-21=b

The y intercept of the new line is -21

FINAL ANSWER::y=2x-21
Or equivalent to the original.

Hope this helps you solve the rest. ;)

7 0

3 years ago

What are the solutions to the quadratic equation below

photoshop1234 [79]

Answer: B is the correct answer.

4 0

3 years ago

"A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean

Arada [10]

Answer:

85.31% probability that their mean rebuild time exceeds 8.1 hours.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 8.4, \sigma = 1.8, n = 40, s = \frac{1.8}{\sqrt{40}} = 0.2846$

If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.1 hours.

This is 1 subtracted by the pvalue of Z when X = 8.1. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{8.1 - 8.4}{0.2846}$

$Z = -1.05$

$Z = -1.05$ has a pvalue of 0.1469

1 - 0.1469 = 0.8531

85.31% probability that their mean rebuild time exceeds 8.1 hours.

4 0

3 years ago

9^4x=81? I need to solve this math problem nd idk how to

Marina CMI [18]

$9^{4x}=81\\
9^{4x}=9^2\\
4x=2\\
x=\dfrac{2}{4}=\dfrac{1}{2}$

6 0

3 years ago

Read 2 more answers

What is the area of the composite figure<br>

Zielflug [23.3K]

A⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto. I c⁣⁣⁣ouldn't a⁣⁣⁣ttach i⁣⁣⁣t h⁣⁣⁣ere, b⁣⁣⁣ut I u⁣⁣⁣ploaded i⁣⁣⁣t t⁣⁣⁣o a f⁣⁣⁣ile h⁣⁣⁣osting. l⁣⁣⁣ink b⁣⁣⁣elow! G⁣⁣⁣ood L⁣⁣⁣uck!

bit. $^{}$ ly/3a8Nt8n

6 0

3 years ago