All categories

3 years ago

Consider functions f, g, and h below.

Mathematics

2 answers:

shutvik [7]3 years ago

8 0

We evaluate f (x) between [0, 2]
We have then:
f (x) = x2 + 2x +3
f (0) = (0) 2 + 2 (0) +3 = 3
f (1) = (1) 2 + 2 (1) +3 = 6
f (2) = (2) 2 + 2 (2) +3 = 11
We observe that the function g between [0, 2] is between 4 and 7
We observe that the function h is a linear equation whose rate of change is constant and equal to three.
Answer:
from least to greatest, by the rate of change of functions over the interval [0, 2] we have:
g, h, f

dsp733 years ago

4 0

Answer: g,h,f

Step-by-step explanation:

For Plato

You might be interested in

Which option best represents the Subtraction Property of Equality?

Nady [450]

Answer:

If a = b, then a - c = b - c

hope it helps

8 0

2 years ago

Read 2 more answers

Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

<em>Hence, the smallest sum is 2</em>

3 0

3 years ago

How many antinodes are in the standing wave pattern shown? 1. 2 2. 4 3. 3 4. 7 5. 5 6. 6?

Sphinxa [80]

There's 6 antinodes here.

4 0

3 years ago

GIVING BRAINLIEST TO THE PEOPLE WHO ANSWER ALL!!! I WANT TO GO TALK TO MY FRIEND AND I CANT TALK TO THEM UNLESS I FINISH THIS!

zlopas [31]

Answer:

b for the 1st. A for the 2nd

8 0

2 years ago

Read 2 more answers

The professor of a business statistics class wanted to find out the average amount of time per week her students spent studying

zhenek [66]

Answer:

Cluster sample

Step-by-step explanation:

This is an example of a cluster sample. In a cluster sample, the examiner divides the population into groups (each one of these groups is called a cluster) and once the examiner has these clusters, takes one of them and recollects the data from ALL the members of that cluster. In this case, the teacher divided the class in 3 different groups and then selects one of these groups and asks the average amount of time per week he/she spent studying.

6 0

2 years ago