This recipe makes 2 portions of fajitas.

What is the average rate of change of f(x) = (x + 3)2 − 2

Tema [17]

Answer:

When we have a function f(x), the average rate of change in the interval (a, b) is:

$r = \frac{f(b) - f(a)}{b - a}$

In this case, we have the function:

f(x) = (x + 3)^2 - 2

(but we do not have the interval, and I couldn't find the complete question online)

So if for example, we have the interval (2, 4)

The average rate of change will be:

$r = \frac{(4 + 3)^2 - 2 - (2 + 3)^2 + 2}{4 - 2} = \frac{24}{2} = 12$

If instead, we want the rate of change in a differential dx around the value x, we need to differentiate the function (this is way more complex, so I will define some rules first).

Such that the rate of change, in this case, will be:

f'(x) = df/dx

For a function like:

g(x) = x^n + c

g'(x) = n*x^(n - 1)

And for:

h(x) = k( g(x))

h'(x) = k'(g(x))*g'(x)

So here we can write our function as:

f(x) = k(g(x)) = (x + 3)^2 - 2

where:

g(x) = x + 3

k(x) = x^2 - 2

Then:

f'(x) = 2*(x + 3)*1 = 2*x + 6

That is the rate of change as a function of x (but is not an "average" rate of change)

8 0

3 years ago

Jese hangs 3 t shirt on a line. any t shirt next to each other share a peg. he uses 4 pegs. how may peg jess use to hang 6 t shi

Ivenika [448]

He will use 7 pegs in total to hang 6 t shirts in line

7 0

4 years ago

Out of 12,600 students, how many are most likely going to read the newspaper?

Inessa [10]

Answer:

4,410

Step-by-step explanation:

The answer is this because if you look properly at the math problem, it'll tell you exactly what to do.

- Sophia

3 0

3 years ago

Read 2 more answers

Hello! I'm having a really hard time solving this by Elimination and could really use some help

Mamont248 [21]

Answer:

x= 3, y=0, z= 1

Step-by-step explanation:

Let's label the 3 given equations first.

2x +3y +4z= 10 -----(1)

3x +2y -4z= 5 -----(2)

x +4y +2z= 5 -----(3)

(1) +(2):

This is to eliminate the z term.

2x +3y +4z +3x +2y -4z= 10 +5

5x +5y= 15

Divide by 5 on both sides:

x +y= 3 -----(4)

(3) ×2:

2x +8y +4z= 10 -----(5)

(2) +(5):

This is to eliminate z term.

3x +2y -4z + 2x +8y +4z= 5 +10

5x +10y= 15

Divide by 5 throughout.

x +2y= 3 -----(6)

(6) -(4):

x +2y -(x +y)= 3 -3

x +2y -x -y= 0

y= 0

subst. y=0 into (4):

x +0= 3

x= 3

subst. x=3, y=0 into (3):

3 +4(0) +2z= 5

3 +2z= 5

2z= 5 -3

2z= 2

z= 2÷2

z= 1

6 0

3 years ago

What is the value of the expression 2 x 3^3+1/7 +5 x 8 Ps- 3^3+1/7 is a fraction

butalik [34]

Answer:

Hey! so the answer is 4

Step-by-step explanation:

Let's solve your equation step-by-step.

3x+2=14

Step 1: Subtract 2 from both sides.

3x+2−2=14−2

3x=12

Step 2: Divide both sides by 3.

3x = 12 = x=4

3 3

Hoped this helped Im Eve btw. Hope you have a great day and consider marking this brainliest Thank you so much if you do! ✨

6 0

3 years ago