All categories

3 years ago

What is the average rate of change for this function for the interval from x= 1 to x = 3?

Mathematics

1 answer:

MArishka [77]3 years ago

6 0

Answer:

The average rate of change is 12x=12.0x.

Description:

Function: x= 1x = 3 convert to short form: x 1x 3

Interval: x= 1 , x 3

Steps:

Input: Find the average rate of change of f(x)=3x2 on the interval [x,3x].

We have that a=x, b=3x, f(x)=3x2

Thus, f(b)−f(a)b−a=3((3x))2−(3(x)2)3x−(x)=12x.

Answer: the average rate of change is 12x=12.0x.

Please mark brainliest

<em><u>Hope this helps.</u></em>

You might be interested in

3/4 minus 1/8 in simplest form

mash [69]

.625 or if you want it in a fraction it is 625/1000

6 0

3 years ago

The volume of a sphere is 2254 pi m^3 what is the surface area of the sphere to the nearest 10th

Advocard [28]

By definition. The volume of the sphere is:
V = (4/3) * (pi) * (r ^ 3)
Where,
r: radius of the sphere.
Substituting values:
2254 pi = (4/3) * (pi) * (r ^ 3)
Clearing the radio we have:
r ^ 3 = (3/4) * (2254)
r = ((3/4) * (2254)) ^ (1/3)
r = 11.91255883
Then, the surface area is:
A = 2 * pi * r ^ 2
Substituting values:
A = 2 * 3.14 * (11.91255883) ^ 2
A = 891.6 m ^ 2
Answer:
The surface area of the sphere is:
b. 891.6 m ^ 2

8 0

3 years ago

A vendor sells h hot dogs and s sodas. If a hot dog costs twice as much as a soda, and if the vendor takes in a total of d dolla

horrorfan [7]

Answer:

The expression for the cost of soda is 100 × $\dfrac{\textrm d}{ \textrm 2h + \textrm s}$ cents

Step-by-step explanation:

Given as :

The quantity of hot dogs sold by vendor = h

The quantity of sodas sold by vendor = s

The total cost of hot dogs and soda = $ d

Let The price of hot dogs = $ x

And The price of soda = $ y

Now, According to question

The price of hot dogs is twice as much as soda

so, $ x = 2 × $ y

I.e x = 2 y

and $ x h + $ y s = $ d

Or , 2 × $ y h + $ y s = $ d

Or, y = $\dfrac{\textrm d}{ \textrm 2h + \textrm s}$

∵ 1 dollar = 100 cents

So, the price of $\dfrac{\textrm d}{ \textrm 2h + \textrm s}$ = 100 × $\dfrac{\textrm d}{ \textrm 2h + \textrm s}$ cents

Hence The expression for the cost of soda is 100 × $\dfrac{\textrm d}{ \textrm 2h + \textrm s}$ cents Answer

5 0

3 years ago

Sofia wants to place a sticker 2 ½ inches long in the center of a switch box that is 3 ¾ inches wide. About how far from the edg

Sonja [21]

First, you have to find the common denominators. 2 2/4 and 3 3/4. Next, you have to subtract them. 3 3/4 - 2 2/4= 1 1/4. She will place the sticker 1 1/4 inches away from the edge. I hope it helps ☺️

5 0

3 years ago

18-2x=6x-14 someone explain in full steps please.

Grace [21]

$18-2x=6x-14\ \ \ \ \ |bring\ the\ like\ terms\ on\ one\ side\\\\-2x-6x=-14-18\ \ \ \ |simplify\\\\-8x=-32\ \ \ \ \ |:-8\\\\x=4$

4 0

3 years ago

Read 2 more answers