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3 years ago

99 POINTS PLZ ANSWER

1 answer:

5 0

I assume you mean 4(3^x) as in this is an exponential function.

The average rate of change is simply the change in y divided by the change in x so:

(4(3^2-3^1))/(2-1)

4(9-3)

4(6)

24

....

(4(3^4-3^3))/(4-3)

4(81-27)

4(54)

216

So the average rate from 3 to 4 is 216 and from 1 to 2 is only 24.

So the average rate of B to A is 216/24=9, is 9 times greater than A.

The average rate of change is not constant as this is an exponential function.

You might be interested in

Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position

stira [4]

Answer:

$v(t) = (2t+1) \mathbb{i} +3t^2 \mathbb{j} +4t^3 \mathbb{k}$

$r(t) = (t^2+t) \mathbb{i} +(t^3+2) \mathbb{j} +(t^4 - 3) \mathbb{k}$

Step-by-step explanation:

The velocity vector is the integral of the acceleration vector i.e.

$v(t) = \int a(t) dt$

$v(t) = \int (2 \mathbb{i}+6t \mathbb{j} 12t^2 \mathbb{k}) dt$

$v(t) = 2t \mathbb{i}+3t^2 \mathbb{j} 4t^3 \mathbb{k} + C_1$

When $t=0$ , $v(0) = \mathbb{i}$ . Inserting these values in $v(t)$ ,

$C_1= \mathbb{i}$

$v(t) = 2t \mathbb{i}+3t^2 \mathbb{j} 4t^3 \mathbb{k} + \mathbb{i}$

$v(t) = (2t+1) \mathbb{i}+3t^2 \mathbb{j} 4t^3 \mathbb{k}$

The position vector is the integral of the velocity vector i.e.

$r(t) = \int v(t) dt$

$r(t) = \int ((2t+1) \mathbb{i}+3t^2 \mathbb{j} 4t^3 \mathbb{k}) dt$

$r(t) = (t^2+t) \mathbb{i}+t^3 \mathbb{j} t^4 \mathbb{k} + C_2$

When $t=0$ , $r(t) =2\mathbb{j}-3\mathbb{k}$ . Inserting these values in $r(t)$ ,

$C_2=2\mathbb{j}-3\mathbb{k}$

$r(t)= (t^2+t) \mathbb{i}+t^3 \mathbb{j}+ t^4 \mathbb{k} + 2\mathbb{j}-3\mathbb{k}$

$r(t) = (t^2+t) \mathbb{i}+(t^3+2) \mathbb{j}+ (t^4-3) \mathbb{k}$

5 0

4 years ago

a half cup of pancakes mix has 5% total daily allowance of cholesterol. the total daily allowance of cholesterol 300 mg. how muc

arsen [322]

Hi there!

Since we know that the pancake mix has 5% of the daily allowance, which is 300 mg, we can just multiply 300 mg with 5 percent to get our answer.

First, let's divide 5% by 100% to know what we are going to multiply 300 mg with.

5% / 100% = 0.05

Let's multiply 300 mg with 0.05

0.05 * 300 = 15 mg

Thus, a 1/2 cup of pancake mix has 15 mg of cholesterol.

Have an awesome day! :)

6 0

3 years ago

Point Q is the image of Q(-4,7) under a translation by 4 units to the right and 2 units down.

Vika [28.1K]

Answer:

(0,5)

Step-by-step explanation:

Move down 2 and move right 5.

6 0

3 years ago

Read 2 more answers

Zach has a basic cell phone plan that does not include texting. He is going to add a multimedia texting package to his

attashe74 [19]

Package A is less expensive for Zach to send 250 multimedia texts each month.

Step-by-step explanation:

Given that,

Zach plans to send 250 multimedia texts each month.

Package A charges $0.25 per multimedia text with no monthly fees.

Package B charges $0.20 per multimedia text, but has a $15 monthly fee.

We need to find out which package is less expensive for Zach to add the plan.

The cost of 250 multimedia texts by package A :

⇒ Number of texts × cost per text

⇒ 250 × 0.25

⇒ 62.5

∴ The package A charges $62.5 for 250 multimedia texts.

The cost of 250 multimedia texts by package B :

⇒ (Number of texts × cost per text) + monthly fee

⇒ (250 × 0.20) + 15

⇒ 50 + 15

⇒ 65

∴ The package B charges $65 for 250 multimedia texts.

The Package A charges $62.5 which is less than package B charge of $65.

Hence, package A is less expensive.

6 0

3 years ago

The length of a rectangle is (X + 8) and the width is (x - 3). Find the dimensions of the rectangle if the area is 42 square inc

ki77a [65]

Answer:

Length = 14 inches

Width = 3 inches

Step-by-step explanation:

length * width = area

(x + 8 ) (x - 3) = 42

Use FOIL method

x*x - x*3 + 8*x - 8*3 = 42

x² -3x + 8x - 24 = 42

x² + 5x - 24 - 42 = 0

x² + 5x - 66 = 0

Sum = 5

Product = 66

Factors = 11 , (-6)

x² + 5x -66 = 0

x² + 11x - 6x - 6*11 =0

x(x + 11) - 6(x + 11) = 0

(x + 11) (x -6) = 0

x + 11 is ignored because length and width will not have negative value.

x - 6 = 0

x = 6

Length = x + 8 = 6 + 8 = 14 inches

Width = x - 3 = 6 - 3 = 3 inches

4 0

3 years ago